Пример #1
0
    def command_line_params(self, cmd_strings):
        """
        finds dictionary pairs from a string that came from the
        commandline.  Stores the parameters in only if they
        already exist.

        we expect things in the string in the form:
         ["sec.opt=value",  "sec.opt=value"]
        with each opt an element in the list

        Parameters
        ----------
        cmd_strings : list
            The list of strings containing runtime parameter pairs

        """

        for item in cmd_strings:

            # break it apart
            key, value = item.split("=")

            # we only want to override existing keys/values
            if key not in self.params.keys():
                msg.warning("warning, key: %s not defined" % (key))
                continue

            # check in turn whether this is an interger, float, or string
            self.params[key] = _get_val(value)
Пример #2
0
    def grid_generate_particles(self, n_particles):
        """
        Generate particles equally spaced across the grid.
        Currently has the same number of particles in the x and y
        directions (so dx != dy unless the domain is square) -
        may be better to scale this.

        If necessary, shall increase/decrease n_particles
        in order to fill grid.
        """

        sq_n_particles = int(round(np.sqrt(n_particles)))

        if sq_n_particles**2 != n_particles:
            msg.warning("WARNING: Changing number of particles from {} to {}".format(n_particles, sq_n_particles**2))

        myg = self.sim_data.grid

        xs, step = np.linspace(myg.xmin, myg.xmax, num=sq_n_particles, endpoint=False, retstep=True)
        xs += 0.5 * step
        ys, step = np.linspace(myg.ymin, myg.ymax, num=sq_n_particles, endpoint=False, retstep=True)
        ys += 0.5 * step
        for x in xs:
            for y in ys:
                self.particles[(x, y)] = Particle(x, y)
Пример #3
0
    def command_line_params(self, cmd_strings):
        """
        finds dictionary pairs from a string that came from the
        commandline.  Stores the parameters in globalParams only if they 
        already exist.
        
        we expect things in the string in the form:
         ["sec.opt=value",  "sec.opt=value"]
        with each opt an element in the list
        """

        for item in cmd_strings:

            # break it apart
            key, value = item.split("=")
            
            # we only want to override existing keys/values
            if (not key in self.params.keys()):
                msg.warning("warning, key: %s not defined" % (key))
                continue

            # check in turn whether this is an interger, float, or string
            if (is_int(value)):
                self.params[key] = int(value)
            elif (is_dloat(value)):
                self.params[key] = float(value)
            else:
                self.params[key] = value.strip()
Пример #4
0
def printUnusedParams():
    """
    print out the list of parameters that were defined by never used
    """
    for key in globalParams.keys():
        if not key in usedParams:
            msg.warning("parameter %s never used" % (key))
Пример #5
0
def CommandLineParams(cmdStrings):
    """
    finds dictionary pairs from a string that came from the
    commandline.  Stores the parameters in globalParams only if they 
    already exist.
    """
    global globalParams


    # we expect things in the string in the form:
    #  ["sec.opt=value",  "sec.opt=value"]
    # with each opt an element in the list

    for item in cmdStrings:

        # break it apart
        key, value = item.split("=")
            
        # we only want to override existing keys/values
        if (not key in globalParams.keys()):
            msg.warning("warning, key: %s not defined" % (key))
            continue

        # check in turn whether this is an interger, float, or string
        if (isInt(value)):
            globalParams[key] = int(value)
        elif (isFloat(value)):
            globalParams[key] = float(value)
        else:
            globalParams[key] = value.strip()
Пример #6
0
    def load_params(self, pfile, no_new=0):
        """
        Reads line from file and makes dictionary pairs from the data
        to store.

        Parameters
        ----------
        file : str
            The name of the file to parse
        no_new : int, optional
            If no_new = 1, then we don't add any new paramters to the
            dictionary of runtime parameters, but instead just override
            the values of existing ones.

        """

        # check to see whether the file exists
        try: f = open(pfile, 'r')
        except IOError:
            msg.fail("ERROR: parameter file does not exist: {}".format(pfile))

        # we could use the ConfigParser, but we actually want to
        # have our configuration files be self-documenting, of the
        # format key = value ; comment
        sec = re.compile(r'^\[(.*)\]')
        eq = re.compile(r'^([^=#]+)=([^;]+);{0,1}(.*)')

        for line in f.readlines():

            if sec.search(line):
                lbracket, section, rbracket = sec.split(line)
                section = section.strip().lower()

            elif eq.search(line):
                left, item, value, comment, right = eq.split(line)
                item = item.strip().lower()

                # define the key
                key = section + "." + item

                # if we have no_new = 1, then we only want to override existing
                # key/values
                if no_new:
                    if not key in self.params.keys():
                        msg.warning("warning, key: %s not defined" % (key))
                        continue

                self.params[key] = _get_val(value)

                # if the comment already exists (i.e. from reading in
                # _defaults) and we are just resetting the value of
                # the parameter (i.e.  from reading in inputs), then
                # we don't want to destroy the comment
                if comment.strip() == "":
                    try:
                        comment = self.param_comments[key]
                    except KeyError:
                        comment = ""

                self.param_comments[key] = comment.strip()
Пример #7
0
 def print_unused_params(self):
     """
     Print out the list of parameters that were defined by never used
     """
     for key in self.params.keys():
         if not key in self.used_params:
             msg.warning("parameter %s never used" % (key))
Пример #8
0
 def print_unused_params(self):
     """
     Print out the list of parameters that were defined by never used
     """
     for key in self.params:
         if key not in self.used_params:
             msg.warning("parameter %s never used" % (key))
Пример #9
0
    def load_params(self, pfile, no_new=0):
        """
        Reads line from file and makes dictionary pairs from the data
        to store.

        Parameters
        ----------
        file : str
            The name of the file to parse
        no_new : int, optional
            If no_new = 1, then we don't add any new paramters to the
            dictionary of runtime parameters, but instead just override
            the values of existing ones.

        """

        # check to see whether the file exists
        try: f = open(pfile, 'r')
        except IOError:
            msg.fail("ERROR: parameter file does not exist: {}".format(pfile))

        # we could use the ConfigParser, but we actually want to
        # have our configuration files be self-documenting, of the
        # format key = value ; comment
        sec = re.compile(r'^\[(.*)\]')
        eq = re.compile(r'^([^=#]+)=([^;]+);{0,1}(.*)')

        for line in f.readlines():

            if sec.search(line):
                lbracket, section, rbracket = sec.split(line)
                section = section.strip().lower()

            elif eq.search(line):
                left, item, value, comment, right = eq.split(line)
                item = item.strip().lower()

                # define the key
                key = section + "." + item

                # if we have no_new = 1, then we only want to override existing
                # key/values
                if no_new:
                    if not key in self.params.keys():
                        msg.warning("warning, key: %s not defined" % (key))
                        continue

                self.params[key] = _get_val(value)

                # if the comment already exists (i.e. from reading in
                # _defaults) and we are just resetting the value of
                # the parameter (i.e.  from reading in inputs), then
                # we don't want to destroy the comment
                if comment.strip() == "":
                    try:
                        comment = self.param_comments[key]
                    except KeyError:
                        comment = ""

                self.param_comments[key] = comment.strip()
Пример #10
0
    def command_line_params(self, cmd_strings):
        """
        finds dictionary pairs from a string that came from the
        commandline.  Stores the parameters in globalParams only if they
        already exist.

        we expect things in the string in the form:
         ["sec.opt=value",  "sec.opt=value"]
        with each opt an element in the list

        Parameters
        ----------
        cmd_strings : list
            The list of strings containing runtime parameter pairs

        """

        for item in cmd_strings:

            # break it apart
            key, value = item.split("=")

            # we only want to override existing keys/values
            if not key in self.params.keys():
                msg.warning("warning, key: %s not defined" % (key))
                continue

            # check in turn whether this is an interger, float, or string
            self.params[key] = _get_val(value)
    def grid_generate_particles(self, n_particles):
        """
        Generate particles equally spaced across the grid.
        Currently has the same number of particles in the x and y
        directions (so dx != dy unless the domain is square) -
        may be better to scale this.

        If necessary, shall increase/decrease n_particles
        in order to fill grid.
        """

        sq_n_particles = int(round(np.sqrt(n_particles)))

        if sq_n_particles**2 != n_particles:
            msg.warning(
                "WARNING: Changing number of particles from {} to {}".format(
                    n_particles, sq_n_particles**2))

        myg = self.sim_data.grid

        xs, step = np.linspace(myg.xmin,
                               myg.xmax,
                               num=sq_n_particles,
                               endpoint=False,
                               retstep=True)
        xs += 0.5 * step
        ys, step = np.linspace(myg.ymin,
                               myg.ymax,
                               num=sq_n_particles,
                               endpoint=False,
                               retstep=True)
        ys += 0.5 * step
        for x in xs:
            for y in ys:
                self.particles[(x, y)] = Particle(x, y)
Пример #12
0
def LoadParams(file, noNew=0):
    """
    reads lines from file and makes dictionary pairs from the data
    to store in globalParams.
    """
    global globalParams

    # check to see whether the file exists
    try: f = open(file, 'r')
    except IOError:
        msg.fail("ERROR: parameter file does not exist: %s" % (file))


    # we could use the ConfigParser, but we actually want to have
    # our configuration files be self-documenting, of the format
    # key = value     ; comment
    sec = re.compile(r'^\[(.*)\]')
    eq = re.compile(r'^([^=#]+)=([^;]+);{0,1}(.*)')

    for line in f.readlines():

        if sec.search(line): 
            lbracket, section, rbracket = sec.split(line)
            section = string.lower(section.strip())
            
        elif eq.search(line):
            left, item, value, comment, right = eq.split(line) 		
            item = string.lower(item.strip())

            # define the key
            key = section + "." + item
            
            # if we have noNew = 1, then we only want to override existing
            # key/values
            if (noNew):
                if (not key in globalParams.keys()):
                    msg.warning("warning, key: %s not defined" % (key))
                    continue

            # check in turn whether this is an interger, float, or string
            if (isInt(value)):
                globalParams[key] = int(value)
            elif (isFloat(value)):
                globalParams[key] = float(value)
            else:
                globalParams[key] = value.strip()

            # if the comment already exists (i.e. from reading in _defaults)
            # and we are just resetting the value of the parameter (i.e.
            # from reading in inputs), then we don't want to destroy the
            # comment
            if comment.strip() == "":
                try:
                    comment = globalParamComments[key]
                except KeyError:
                    comment = ""
                    
            globalParamComments[key] = comment.strip()
Пример #13
0
def grid_setup(rp, ng=1):
    nx = rp.get_param("mesh.nx")
    ny = rp.get_param("mesh.ny")

    try:
        xmin = rp.get_param("mesh.xmin")
    except KeyError:
        xmin = 0.0
        msg.warning("mesh.xmin not set, defaulting to 0.0")

    try:
        xmax = rp.get_param("mesh.xmax")
    except KeyError:
        xmax = 1.0
        msg.warning("mesh.xmax not set, defaulting to 1.0")

    try:
        ymin = rp.get_param("mesh.ymin")
    except KeyError:
        ymin = 0.0
        msg.warning("mesh.ymin not set, defaulting to 0.0")

    try:
        ymax = rp.get_param("mesh.ymax")
    except KeyError:
        ymax = 1.0
        msg.warning("mesh.ynax not set, defaulting to 1.0")

    my_grid = patch.Grid2d(nx, ny,
                           xmin=xmin, xmax=xmax,
                           ymin=ymin, ymax=ymax, ng=ng)
    return my_grid
Пример #14
0
def grid_setup(rp, ng=1):
    nx = rp.get_param("mesh.nx")
    ny = rp.get_param("mesh.ny")

    try:
        xmin = rp.get_param("mesh.xmin")
    except KeyError:
        xmin = 0.0
        msg.warning("mesh.xmin not set, defaulting to 0.0")

    try:
        xmax = rp.get_param("mesh.xmax")
    except KeyError:
        xmax = 1.0
        msg.warning("mesh.xmax not set, defaulting to 1.0")

    try:
        ymin = rp.get_param("mesh.ymin")
    except KeyError:
        ymin = 0.0
        msg.warning("mesh.ymin not set, defaulting to 0.0")

    try:
        ymax = rp.get_param("mesh.ymax")
    except KeyError:
        ymax = 1.0
        msg.warning("mesh.ynax not set, defaulting to 1.0")

    my_grid = patch.Grid2d(nx, ny,
                           xmin=xmin, xmax=xmax,
                           ymin=ymin, ymax=ymax, ng=ng)
    return my_grid
Пример #15
0
    def store_as_benchmark(self):
        """ Are we storing a benchmark? """

        if not os.path.isdir(self.solver_name + "/tests/"):
            try:
                os.mkdir(self.solver_name + "/tests/")
            except (FileNotFoundError, PermissionError):
                msg.fail(
                    "ERROR: unable to create the solver's tests/ directory")

        basename = self.rp.get_param("io.basename")
        bench_file = self.pyro_home + self.solver_name + "/tests/" + \
            basename + "%4.4d" % (self.sim.n)
        msg.warning("storing new benchmark: {}\n".format(bench_file))
        self.sim.write(bench_file)
Пример #16
0
    def store_as_benchmark(self):
        """ Are we storing a benchmark? """

        if not os.path.isdir(self.solver_name + "/tests/"):
            try:
                os.mkdir(self.solver_name + "/tests/")
            except (FileNotFoundError, PermissionError):
                msg.fail(
                    "ERROR: unable to create the solver's tests/ directory")

        basename = self.rp.get_param("io.basename")
        bench_file = self.pyro_home + self.solver_name + "/tests/" + \
            basename + "%4.4d" % (self.sim.n)
        msg.warning("storing new benchmark: {}\n".format(bench_file))
        self.sim.write(bench_file)
Пример #17
0
def getParam(key):
    """
    returns the value of the runtime parameter corresponding to the
    input key
    """
    if globalParams == {}:
        msg.warning("WARNING: runtime parameters not yet initialized")
        LoadParams("_defaults")

    # debugging
    if not key in usedParams:
        usedParams.append(key)
        
    if key in globalParams.keys():
        return globalParams[key]
    else:
        msg.fail("ERROR: runtime parameter %s not found" % (key))
Пример #18
0
    def get_param(self, key):
        """
        returns the value of the runtime parameter corresponding to the
        input key
        """

        if self.params == {}:
            msg.warning("WARNING: runtime parameters not yet initialized")
            self.load_params("_defaults")

        # debugging
        if key not in self.used_params:
            self.used_params.append(key)

        if key in self.params.keys():
            return self.params[key]
        else:
            raise KeyError("ERROR: runtime parameter {} not found".format(key))
Пример #19
0
    def get_param(self, key):
        """
        returns the value of the runtime parameter corresponding to the
        input key
        """

        if self.params == {}:
            msg.warning("WARNING: runtime parameters not yet initialized")
            self.load_params("_defaults")

        # debugging
        if key not in self.used_params:
            self.used_params.append(key)

        if key in self.params.keys():
            return self.params[key]
        else:
            raise KeyError("ERROR: runtime parameter {} not found".format(key))
Пример #20
0
    def single_step(self):
        """
        Do a single step
        """

        if not self.is_initialized:
            msg.fail("ERROR: problem has not been initialized")

        # fill boundary conditions
        self.sim.cc_data.fill_BC_all()

        # get the timestep
        self.sim.compute_timestep()

        # evolve for a single timestep
        self.sim.evolve()

        if self.verbose > 0:
            print("%5d %10.5f %10.5f" %
                  (self.sim.n, self.sim.cc_data.t, self.sim.dt))

        # output
        if self.sim.do_output():
            if self.verbose > 0:
                msg.warning("outputting...")
            basename = self.rp.get_param("io.basename")
            self.sim.write("{}{:04d}".format(basename, self.sim.n))

        # visualization
        if self.dovis:
            tm_vis = self.tc.timer("vis")
            tm_vis.begin()

            self.sim.dovis()
            store = self.rp.get_param("vis.store_images")

            if store == 1:
                basename = self.rp.get_param("io.basename")
                plt.savefig("{}{:04d}.png".format(basename, self.sim.n))

            tm_vis.end()
Пример #21
0
    def single_step(self):
        """
        Do a single step
        """

        if not self.is_initialized:
            msg.fail("ERROR: problem has not been initialized")

        # fill boundary conditions
        self.sim.cc_data.fill_BC_all()

        # get the timestep
        self.sim.compute_timestep()

        # evolve for a single timestep
        self.sim.evolve()

        if self.verbose > 0:
            print("%5d %10.5f %10.5f" %
                  (self.sim.n, self.sim.cc_data.t, self.sim.dt))

        # output
        if self.sim.do_output():
            if self.verbose > 0:
                msg.warning("outputting...")
            basename = self.rp.get_param("io.basename")
            self.sim.write("{}{:04d}".format(basename, self.sim.n))

        # visualization
        if self.dovis:
            tm_vis = self.tc.timer("vis")
            tm_vis.begin()

            self.sim.dovis()
            store = self.rp.get_param("vis.store_images")

            if store == 1:
                basename = self.rp.get_param("io.basename")
                plt.savefig("{}{:04d}.png".format(basename, self.sim.n))

            tm_vis.end()
Пример #22
0
    def run_sim(self):
        """
        Evolve entire simulation
        """

        if not self.is_initialized:
            msg.fail("ERROR: problem has not been initialized")

        tm_main = self.tc.timer("main")
        tm_main.begin()

        # output the 0th data
        basename = self.rp.get_param("io.basename")
        self.sim.write("{}{:04d}".format(basename, self.sim.n))

        if self.dovis:
            plt.figure(num=1, figsize=(8, 6), dpi=100, facecolor='w')
            self.sim.dovis()

        while not self.sim.finished():
            self.single_step()

        # final output
        if self.verbose > 0:
            msg.warning("outputting...")
        basename = self.rp.get_param("io.basename")
        self.sim.write("{}{:04d}".format(basename, self.sim.n))

        tm_main.end()
        # -------------------------------------------------------------------------
        # final reports
        # -------------------------------------------------------------------------
        if self.verbose > 0:
            self.rp.print_unused_params()
            self.tc.report()

        self.sim.finalize()

        return self.sim
Пример #23
0
    def run_sim(self):
        """
        Evolve entire simulation
        """

        if not self.is_initialized:
            msg.fail("ERROR: problem has not been initialized")

        tm_main = self.tc.timer("main")
        tm_main.begin()

        # output the 0th data
        basename = self.rp.get_param("io.basename")
        self.sim.write("{}{:04d}".format(basename, self.sim.n))

        if self.dovis:
            plt.figure(num=1, figsize=(8, 6), dpi=100, facecolor='w')
            self.sim.dovis()

        while not self.sim.finished():
            self.single_step()

        # final output
        if self.verbose > 0:
            msg.warning("outputting...")
        basename = self.rp.get_param("io.basename")
        self.sim.write("{}{:04d}".format(basename, self.sim.n))

        tm_main.end()
        # -------------------------------------------------------------------------
        # final reports
        # -------------------------------------------------------------------------
        if self.verbose > 0:
            self.rp.print_unused_params()
            self.tc.report()

        self.sim.finalize()

        return self.sim
Пример #24
0
def bc_setup_1d(rp):

    # first figure out the BCs
    try:
        xlb_type = rp.get_param("mesh.xlboundary")
    except KeyError:
        xlb_type = "periodic"
        msg.warning("mesh.xlboundary is not set, defaulting to periodic")

    try:
        xrb_type = rp.get_param("mesh.xrboundary")
    except KeyError:
        xrb_type = "periodic"
        msg.warning("mesh.xrboundary is not set, defaulting to periodic")

    bc = bnd.BC1d(xlb=xlb_type, xrb=xrb_type)

    # if we are reflecting, we need odd reflection in the normal
    # directions for the velocity
    bc_xodd = bnd.BC1d(xlb=xlb_type, xrb=xrb_type, odd_reflect_dir="x")

    return bc, bc_xodd
Пример #25
0
def bc_setup(rp):

    # first figure out the BCs
    try:
        xlb_type = rp.get_param("mesh.xlboundary")
    except KeyError:
        xlb_type = "periodic"
        msg.warning("mesh.xlboundary is not set, defaulting to periodic")

    try:
        xrb_type = rp.get_param("mesh.xrboundary")
    except KeyError:
        xrb_type = "periodic"
        msg.warning("mesh.xrboundary is not set, defaulting to periodic")

    try:
        ylb_type = rp.get_param("mesh.ylboundary")
    except KeyError:
        ylb_type = "periodic"
        msg.warning("mesh.ylboundary is not set, defaulting to periodic")

    try:
        yrb_type = rp.get_param("mesh.yrboundary")
    except KeyError:
        yrb_type = "periodic"
        msg.warning("mesh.yrboundary is not set, defaulting to periodic")

    bc = bnd.BC(xlb=xlb_type, xrb=xrb_type,
                ylb=ylb_type, yrb=yrb_type)

    # if we are reflecting, we need odd reflection in the normal
    # directions for the velocity
    bc_xodd = bnd.BC(xlb=xlb_type, xrb=xrb_type,
                     ylb=ylb_type, yrb=yrb_type,
                     odd_reflect_dir="x")

    bc_yodd = bnd.BC(xlb=xlb_type, xrb=xrb_type,
                     ylb=ylb_type, yrb=yrb_type,
                     odd_reflect_dir="y")

    return bc, bc_xodd, bc_yodd
Пример #26
0
    def compare_to_benchmark(self, rtol):
        """ Are we comparing to a benchmark? """

        basename = self.rp.get_param("io.basename")
        compare_file = "{}/tests/{}{:04d}".format(
            self.solver_name, basename, self.sim.n)
        msg.warning("comparing to: {} ".format(compare_file))
        try:
            sim_bench = io.read(compare_file)
        except IOError:
            msg.warning("ERROR opening compare file")
            return "ERROR opening compare file"

        result = compare.compare(self.sim.cc_data, sim_bench.cc_data, rtol)

        if result == 0:
            msg.success("results match benchmark to within relative tolerance of {}\n".format(rtol))
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")

        return result
Пример #27
0
    def compare_to_benchmark(self):
        """ Are we comparing to a benchmark? """

        basename = self.rp.get_param("io.basename")
        compare_file = "{}/tests/{}{:04d}".format(self.solver_name, basename,
                                                  self.sim.n)
        msg.warning("comparing to: {} ".format(compare_file))
        try:
            sim_bench = io.read(compare_file)
        except IOError:
            msg.warning("ERROR openning compare file")
            return "ERROR openning compare file"

        result = compare.compare(self.sim.cc_data, sim_bench.cc_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")

        return result
def test_general_poisson_inhomogeneous(N, store_bench=False, comp_bench=False,
                                       make_plot=False, verbose=1):
    """
    test the general MG solver.  The return value
    here is the error compared to the exact solution, UNLESS
    comp_bench=True, in which case the return value is the
    error compared to the stored benchmark
    """

    # test the multigrid solver
    nx = N
    ny = nx


    # create the coefficient variable
    g = patch.Grid2d(nx, ny, ng=1)
    d = patch.CellCenterData2d(g)
    bc_c = patch.BCObject(xlb="neumann", xrb="neumann",
                          ylb="neumann", yrb="neumann")
    d.register_var("alpha", bc_c)
    d.register_var("beta", bc_c)
    d.register_var("gamma_x", bc_c)
    d.register_var("gamma_y", bc_c)
    d.create()

    a = d.get_var("alpha")
    a[:,:] = alpha(g.x2d, g.y2d)

    b = d.get_var("beta")
    b[:,:] = beta(g.x2d, g.y2d)

    gx = d.get_var("gamma_x")
    gx[:,:] = gamma_x(g.x2d, g.y2d)

    gy = d.get_var("gamma_y")
    gy[:,:] = gamma_y(g.x2d, g.y2d)

    
    # create the multigrid object
    a = MG.GeneralMG2d(nx, ny,
                       xl_BC_type="dirichlet", yl_BC_type="dirichlet",
                       xr_BC_type="dirichlet", yr_BC_type="dirichlet",
                       xl_BC=xl_func,
                       yl_BC=yl_func,
                       coeffs=d,
                       verbose=verbose, vis=0, true_function=true)


    # initialize the solution to 0
    a.init_zeros()

    # initialize the RHS using the function f
    rhs = f(a.x2d, a.y2d)
    print( np.min(rhs), np.max(rhs))

    a.init_RHS(rhs)

    # solve to a relative tolerance of 1.e-10
    a.solve(rtol=1.e-10)

    # alternately, we can just use smoothing by uncommenting the following
    #a.smooth(a.nlevels-1,50000)

    # get the solution
    v = a.get_solution()

    # compute the error from the analytic solution
    b = true(a.x2d,a.y2d)
    e = v - b

    enorm = a.soln_grid.norm(e)
    print(" L2 error from true solution = %g\n rel. err from previous cycle = %g\n num. cycles = %d" % \
          (enorm, a.relative_error, a.num_cycles))


    # plot the solution
    if make_plot:
        plt.clf()

        plt.figure(figsize=(10.0,4.0), dpi=100, facecolor='w')

        plt.subplot(121)

        plt.imshow(np.transpose(v[a.ilo:a.ihi+1,a.jlo:a.jhi+1]),
                   interpolation="nearest", origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("nx = {}".format(nx))

        plt.colorbar()


        plt.subplot(122)

        plt.imshow(np.transpose(e[a.ilo:a.ihi+1,a.jlo:a.jhi+1]),
                   interpolation="nearest", origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("error")

        plt.colorbar()

        plt.tight_layout()

        plt.savefig("mg_general_inhomogeneous_test.png")

    # store the output for later comparison
    bench = "mg_general_poisson_inhomogeneous"
    bench_dir = os.environ["PYRO_HOME"] + "/multigrid/tests/"

    my_data = a.get_solution_object()
    
    if store_bench:
        my_data.write("{}/{}".format(bench_dir, bench))

    # do we do a comparison?
    if comp_bench:
        compare_file = "{}/{}".format(bench_dir, bench)
        msg.warning("comparing to: %s " % (compare_file) )
        bench_grid, bench_data = patch.read(compare_file)

        result = compare.compare(my_data.grid, my_data,
                                 bench_grid, bench_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")

        return result

    
    # normal return -- error wrt true solution
    return enorm
Пример #29
0
    # increment the time
    myData.t += dt
    n += 1
    print "%5d %10.5f %10.5f" % (n, myData.t, dt)


    # output
    dt_out = runparams.getParam("io.dt_out")
    n_out = runparams.getParam("io.n_out")

    if (myData.t >= (nout + 1)*dt_out or n%n_out == 0):

        pfc = profile.timer("output")
        pfc.begin()

        msg.warning("outputting...")
        basename = runparams.getParam("io.basename")
        myData.write(basename + "%4.4d" % (n))
        nout += 1

        pfc.end()


    # visualization
    if (dovis): 
        pfd = profile.timer("vis")
        pfd.begin()

        solver.dovis(myData, n)
        store = runparams.getParam("vis.store_images")
Пример #30
0
    # increment the time
    my_data.t += dt
    n += 1
    print "%5d %10.5f %10.5f" % (n, my_data.t, dt)


    # output
    dt_out = rp.get_param("io.dt_out")
    n_out = rp.get_param("io.n_out")

    if my_data.t >= (nout + 1)*dt_out or n%n_out == 0:

        pfc = profile.timer("output")
        pfc.begin()

        msg.warning("outputting...")
        basename = rp.get_param("io.basename")
        my_data.write(basename + "%4.4d" % (n))
        nout += 1

        pfc.end()


    # visualization
    if dovis: 
        pfd = profile.timer("vis")
        pfd.begin()

        solver.dovis(my_data, n)
        store = rp.get_param("vis.store_images")
Пример #31
0
def test_vc_poisson_periodic(N, store_bench=False, comp_bench=False,
                             make_plot=False, verbose=1):
    """
    test the variable-coefficient MG solver.  The return value
    here is the error compared to the exact solution, UNLESS
    comp_bench=True, in which case the return value is the
    error compared to the stored benchmark
    """

    # test the multigrid solver
    nx = N
    ny = nx


    # create the coefficient variable
    g = patch.Grid2d(nx, ny, ng=1)
    d = patch.CellCenterData2d(g)
    bc_c = patch.BCObject(xlb="periodic", xrb="periodic",
                          ylb="periodic", yrb="periodic")
    d.register_var("c", bc_c)
    d.create()

    c = d.get_var("c")
    c[:,:] = alpha(g.x2d, g.y2d)

    # check whether the RHS sums to zero (necessary for periodic data)
    rhs = f(g.x2d, g.y2d)
    print("rhs sum: {}".format(np.sum(rhs[g.ilo:g.ihi+1,g.jlo:g.jhi+1])))


    # create the multigrid object
    a = MG.VarCoeffCCMG2d(nx, ny,
                          xl_BC_type="periodic", yl_BC_type="periodic",
                          xr_BC_type="periodic", yr_BC_type="periodic",
                          coeffs=c, coeffs_bc=bc_c,
                          verbose=verbose, vis=0, true_function=true)


    # initialize the solution to 0
    a.init_zeros()

    # initialize the RHS using the function f
    rhs = f(a.x2d, a.y2d)
    a.init_RHS(rhs)

    # solve to a relative tolerance of 1.e-11
    a.solve(rtol=1.e-11)

    # alternately, we can just use smoothing by uncommenting the following
    #a.smooth(a.nlevels-1,10000)

    # get the solution
    v = a.get_solution()

    # get the true solution
    b = true(a.x2d,a.y2d)

    # compute the error from the analytic solution -- note that with
    # periodic BCs all around, there is nothing to normalize the
    # solution.  We subtract off the average of phi from the MG
    # solution (we do the same for the true solution to put them on
    # the same footing)
    e = v - np.sum(v[a.ilo:a.ihi+1,a.jlo:a.jhi+1])/(nx*ny) - (b - np.sum(b[a.ilo:a.ihi+1,a.jlo:a.jhi+1])/(nx*ny))

    enorm = a.soln_grid.norm(e)
    print(" L2 error from true solution = %g\n rel. err from previous cycle = %g\n num. cycles = %d" % \
          (enorm, a.relative_error, a.num_cycles))


    # plot the solution
    if make_plot:
        plt.clf()

        plt.figure(figsize=(10.0,4.0), dpi=100, facecolor='w')

        plt.subplot(121)

        plt.imshow(np.transpose(v[a.ilo:a.ihi+1,a.jlo:a.jhi+1]),
                   interpolation="nearest", origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("nx = {}".format(nx))

        plt.colorbar()


        plt.subplot(122)

        plt.imshow(np.transpose(e[a.ilo:a.ihi+1,a.jlo:a.jhi+1]),
                   interpolation="nearest", origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("error")

        plt.colorbar()

        plt.tight_layout()

        plt.savefig("mg_vc_periodic_test.png")


    # store the output for later comparison
    bench = "mg_vc_poisson_periodic"
    bench_dir = os.environ["PYRO_HOME"] + "/multigrid/tests/"

    my_data = a.get_solution_object()

    if store_bench:
        my_data.write("{}/{}".format(bench_dir, bench))

    # do we do a comparison?
    if comp_bench:
        compare_file = "{}/{}".format(bench_dir, bench)
        msg.warning("comparing to {}".format(compare_file))
        bench_grid, bench_data = patch.read(compare_file)

        result = compare.compare(my_data.grid, my_data,
                                 bench_grid, bench_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: {}\n".format(compare.errors[result]))

        return result


    # normal return -- error wrt true solution
    return enorm
Пример #32
0
def test_general_poisson_dirichlet(N,
                                   store_bench=False,
                                   comp_bench=False,
                                   make_plot=False,
                                   verbose=1):
    """
    test the general MG solver.  The return value
    here is the error compared to the exact solution, UNLESS
    comp_bench=True, in which case the return value is the
    error compared to the stored benchmark
    """

    # test the multigrid solver
    nx = N
    ny = nx

    # create the coefficient variable
    g = patch.Grid2d(nx, ny, ng=1)
    d = patch.CellCenterData2d(g)
    bc_c = bnd.BC(xlb="neumann", xrb="neumann", ylb="neumann", yrb="neumann")
    d.register_var("alpha", bc_c)
    d.register_var("beta", bc_c)
    d.register_var("gamma_x", bc_c)
    d.register_var("gamma_y", bc_c)
    d.create()

    a = d.get_var("alpha")
    a[:, :] = alpha(g.x2d, g.y2d)

    b = d.get_var("beta")
    b[:, :] = beta(g.x2d, g.y2d)

    gx = d.get_var("gamma_x")
    gx[:, :] = gamma_x(g.x2d, g.y2d)

    gy = d.get_var("gamma_y")
    gy[:, :] = gamma_y(g.x2d, g.y2d)

    # create the multigrid object
    a = MG.GeneralMG2d(nx,
                       ny,
                       xl_BC_type="dirichlet",
                       yl_BC_type="dirichlet",
                       xr_BC_type="dirichlet",
                       yr_BC_type="dirichlet",
                       coeffs=d,
                       verbose=verbose,
                       vis=0,
                       true_function=true)

    # initialize the solution to 0
    a.init_zeros()

    # initialize the RHS using the function f
    rhs = f(a.x2d, a.y2d)
    a.init_RHS(rhs)

    # solve to a relative tolerance of 1.e-11
    a.solve(rtol=1.e-11)

    # alternately, we can just use smoothing by uncommenting the following
    # a.smooth(a.nlevels-1,50000)

    # get the solution
    v = a.get_solution()

    # compute the error from the analytic solution
    b = true(a.x2d, a.y2d)
    e = v - b

    enorm = e.norm()
    print(
        " L2 error from true solution = %g\n rel. err from previous cycle = %g\n num. cycles = %d"
        % (enorm, a.relative_error, a.num_cycles))

    # plot the solution
    if make_plot:
        plt.clf()

        plt.figure(figsize=(10.0, 4.0), dpi=100, facecolor='w')

        plt.subplot(121)

        plt.imshow(np.transpose(v.v()),
                   interpolation="nearest",
                   origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("nx = {}".format(nx))

        plt.colorbar()

        plt.subplot(122)

        plt.imshow(np.transpose(e.v()),
                   interpolation="nearest",
                   origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("error")

        plt.colorbar()

        plt.tight_layout()

        plt.savefig("mg_general_dirichlet_test.png")

    # store the output for later comparison
    bench = "mg_general_poisson_dirichlet"
    bench_dir = os.environ["PYRO_HOME"] + "/multigrid/tests/"

    my_data = a.get_solution_object()

    if store_bench:
        my_data.write("{}/{}".format(bench_dir, bench))

    # do we do a comparison?
    if comp_bench:
        compare_file = "{}/{}".format(bench_dir, bench)
        msg.warning("comparing to: %s " % (compare_file))
        bench = io.read(compare_file)

        result = compare.compare(my_data, bench)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")

        return result

    # normal return -- error wrt true solution
    return enorm
Пример #33
0
def doit(solver_name, problem_name, param_file,
         other_commands=None,
         comp_bench=False, make_bench=False):

    msg.bold('pyro ...')

    tc = profile.TimerCollection()

    tm_main = tc.timer("main")
    tm_main.begin()

    # import desired solver under "solver" namespace
    solver = importlib.import_module(solver_name)

    #-------------------------------------------------------------------------
    # runtime parameters
    #-------------------------------------------------------------------------

    # parameter defaults
    rp = runparams.RuntimeParameters()
    rp.load_params("_defaults")
    rp.load_params(solver_name + "/_defaults")

    # problem-specific runtime parameters
    rp.load_params(solver_name + "/problems/_" + problem_name + ".defaults")

    # now read in the inputs file
    if not os.path.isfile(param_file):
        # check if the param file lives in the solver's problems directory
        param_file = solver_name + "/problems/" + param_file
        if not os.path.isfile(param_file):
            msg.fail("ERROR: inputs file does not exist")

    rp.load_params(param_file, no_new=1)

    # and any commandline overrides
    if not other_commands == None:
        rp.command_line_params(other_commands)

    # write out the inputs.auto
    rp.print_paramfile()


    #-------------------------------------------------------------------------
    # initialization
    #-------------------------------------------------------------------------

    # initialize the Simulation object -- this will hold the grid and
    # data and know about the runtime parameters and which problem we
    # are running
    sim = solver.Simulation(solver_name, problem_name, rp, timers=tc)

    sim.initialize()
    sim.preevolve()


    #-------------------------------------------------------------------------
    # evolve
    #-------------------------------------------------------------------------
    init_tstep_factor = rp.get_param("driver.init_tstep_factor")
    max_dt_change = rp.get_param("driver.max_dt_change")
    fix_dt = rp.get_param("driver.fix_dt")

    verbose = rp.get_param("driver.verbose")

    plt.ion()

    sim.cc_data.t = 0.0

    # output the 0th data
    basename = rp.get_param("io.basename")
    sim.cc_data.write("{}{:04d}".format(basename, sim.n))

    dovis = rp.get_param("vis.dovis")
    if dovis:
        plt.figure(num=1, figsize=(8,6), dpi=100, facecolor='w')
        sim.dovis()

    while not sim.finished():

        # fill boundary conditions
        sim.cc_data.fill_BC_all()

        # get the timestep
        if fix_dt > 0.0:
            sim.dt = fix_dt
        else:
            sim.compute_timestep()
            if sim.n == 0:
                sim.dt = init_tstep_factor*sim.dt
            else:
                sim.dt = min(max_dt_change*dt_old, sim.dt)
            dt_old = sim.dt

        if sim.cc_data.t + sim.dt > sim.tmax:
            sim.dt = sim.tmax - sim.cc_data.t

        # evolve for a single timestep
        sim.evolve()

        if verbose > 0: print("%5d %10.5f %10.5f" % (sim.n, sim.cc_data.t, sim.dt))

        # output
        if sim.do_output():
            if verbose > 0: msg.warning("outputting...")
            basename = rp.get_param("io.basename")
            sim.cc_data.write("{}{:04d}".format(basename, sim.n))

        # visualization
        if dovis:
            tm_vis = tc.timer("vis")
            tm_vis.begin()

            sim.dovis()
            store = rp.get_param("vis.store_images")

            if store == 1:
                basename = rp.get_param("io.basename")
                plt.savefig("{}{:04d}.png".format(basename, sim.n))

            tm_vis.end()

    tm_main.end()


    #-------------------------------------------------------------------------
    # benchmarks (for regression testing)
    #-------------------------------------------------------------------------
    # are we comparing to a benchmark?
    if comp_bench:
        compare_file = solver_name + "/tests/" + basename + "%4.4d" % (sim.n)
        msg.warning("comparing to: %s " % (compare_file) )
        try: bench_grid, bench_data = patch.read(compare_file)
        except:
            msg.warning("ERROR openning compare file")
            return "ERROR openning compare file"


        result = compare.compare(sim.cc_data.grid, sim.cc_data, bench_grid, bench_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")


    # are we storing a benchmark?
    if make_bench:
        if not os.path.isdir(solver_name + "/tests/"):
            try: os.mkdir(solver_name + "/tests/")
            except:
                msg.fail("ERROR: unable to create the solver's tests/ directory")

        bench_file = solver_name + "/tests/" + basename + "%4.4d" % (sim.n)
        msg.warning("storing new benchmark: {}\n".format(bench_file))
        sim.cc_data.write(bench_file)


    #-------------------------------------------------------------------------
    # final reports
    #-------------------------------------------------------------------------
    if verbose > 0: rp.print_unused_params()
    if verbose > 0: tc.report()

    sim.finalize()

    if comp_bench:
        return result
    else:
        return None
Пример #34
0
def test_poisson_dirichlet(N,
                           store_bench=False,
                           comp_bench=False,
                           make_plot=False,
                           verbose=1):

    # test the multigrid solver
    nx = N
    ny = nx

    # create the multigrid object
    a = MG.CellCenterMG2d(nx,
                          ny,
                          xl_BC_type="dirichlet",
                          yl_BC_type="dirichlet",
                          xr_BC_type="dirichlet",
                          yr_BC_type="dirichlet",
                          verbose=verbose)

    # initialize the solution to 0
    a.init_zeros()

    # initialize the RHS using the function f
    rhs = f(a.x2d, a.y2d)
    a.init_RHS(rhs)

    # solve to a relative tolerance of 1.e-11
    a.solve(rtol=1.e-11)

    # alternately, we can just use smoothing by uncommenting the following
    #a.smooth(a.nlevels-1,50000)

    # get the solution
    v = a.get_solution()

    # compute the error from the analytic solution
    b = true(a.x2d, a.y2d)
    e = v - b

    print(" L2 error from true solution = %g\n rel. err from previous cycle = %g\n num. cycles = %d" % \
          (e.norm(), a.relative_error, a.num_cycles))

    # plot it
    if make_plot:
        plt.figure(num=1, figsize=(5.0, 5.0), dpi=100, facecolor='w')

        plt.imshow(np.transpose(v[a.ilo:a.ihi + 1, a.jlo:a.jhi + 1]),
                   interpolation="nearest",
                   origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")

        plt.savefig("mg_test.png")

    # store the output for later comparison
    bench = "mg_poisson_dirichlet"
    bench_dir = os.environ["PYRO_HOME"] + "/multigrid/tests/"

    my_data = a.get_solution_object()

    if store_bench:
        my_data.write("{}/{}".format(bench_dir, bench))

    # do we do a comparison?
    if comp_bench:
        compare_file = "{}/{}".format(bench_dir, bench)
        msg.warning("comparing to: %s " % (compare_file))
        bench_grid, bench_data = patch.read(compare_file)

        result = compare.compare(my_data.grid, my_data, bench_grid, bench_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")

        return result

    return None
Пример #35
0
def doit(solver_name, problem_name, param_file,
         other_commands=None,
         comp_bench=False, reset_bench_on_fail=False, make_bench=False):
    """The main driver to run pyro"""

    msg.bold('pyro ...')

    tc = profile.TimerCollection()

    tm_main = tc.timer("main")
    tm_main.begin()

    # import desired solver under "solver" namespace
    solver = importlib.import_module(solver_name)

    #-------------------------------------------------------------------------
    # runtime parameters
    #-------------------------------------------------------------------------

    # parameter defaults
    rp = runparams.RuntimeParameters()
    rp.load_params("_defaults")
    rp.load_params(solver_name + "/_defaults")

    # problem-specific runtime parameters
    rp.load_params(solver_name + "/problems/_" + problem_name + ".defaults")

    # now read in the inputs file
    if not os.path.isfile(param_file):
        # check if the param file lives in the solver's problems directory
        param_file = solver_name + "/problems/" + param_file
        if not os.path.isfile(param_file):
            msg.fail("ERROR: inputs file does not exist")

    rp.load_params(param_file, no_new=1)

    # and any commandline overrides
    if other_commands is not None:
        rp.command_line_params(other_commands)

    # write out the inputs.auto
    rp.print_paramfile()


    #-------------------------------------------------------------------------
    # initialization
    #-------------------------------------------------------------------------

    # initialize the Simulation object -- this will hold the grid and
    # data and know about the runtime parameters and which problem we
    # are running
    sim = solver.Simulation(solver_name, problem_name, rp, timers=tc)

    sim.initialize()
    sim.preevolve()


    #-------------------------------------------------------------------------
    # evolve
    #-------------------------------------------------------------------------
    verbose = rp.get_param("driver.verbose")

    plt.ion()

    sim.cc_data.t = 0.0

    # output the 0th data
    basename = rp.get_param("io.basename")
    sim.write("{}{:04d}".format(basename, sim.n))

    dovis = rp.get_param("vis.dovis")
    if dovis:
        plt.figure(num=1, figsize=(8, 6), dpi=100, facecolor='w')
        sim.dovis()

    while not sim.finished():

        # fill boundary conditions
        sim.cc_data.fill_BC_all()

        # get the timestep
        sim.compute_timestep()

        # evolve for a single timestep
        sim.evolve()

        if verbose > 0:
            print("%5d %10.5f %10.5f" % (sim.n, sim.cc_data.t, sim.dt))

        # output
        if sim.do_output():
            if verbose > 0:
                msg.warning("outputting...")
            basename = rp.get_param("io.basename")
            sim.write("{}{:04d}".format(basename, sim.n))

        # visualization
        if dovis:
            tm_vis = tc.timer("vis")
            tm_vis.begin()

            sim.dovis()
            store = rp.get_param("vis.store_images")

            if store == 1:
                basename = rp.get_param("io.basename")
                plt.savefig("{}{:04d}.png".format(basename, sim.n))

            tm_vis.end()

    # final output
    if verbose > 0:
        msg.warning("outputting...")
    basename = rp.get_param("io.basename")
    sim.write("{}{:04d}".format(basename, sim.n))

    tm_main.end()


    #-------------------------------------------------------------------------
    # benchmarks (for regression testing)
    #-------------------------------------------------------------------------
    result = 0
    # are we comparing to a benchmark?
    if comp_bench:
        compare_file = "{}/tests/{}{:04d}".format(
            solver_name, basename, sim.n)
        msg.warning("comparing to: {} ".format(compare_file))
        try:
            sim_bench = io.read(compare_file)
        except:
            msg.warning("ERROR openning compare file")
            return "ERROR openning compare file"


        result = compare.compare(sim.cc_data, sim_bench.cc_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")


    # are we storing a benchmark?
    if make_bench or (result != 0 and reset_bench_on_fail):
        if not os.path.isdir(solver_name + "/tests/"):
            try:
                os.mkdir(solver_name + "/tests/")
            except:
                msg.fail("ERROR: unable to create the solver's tests/ directory")

        bench_file = solver_name + "/tests/" + basename + "%4.4d" % (sim.n)
        msg.warning("storing new benchmark: {}\n".format(bench_file))
        sim.write(bench_file)


    #-------------------------------------------------------------------------
    # final reports
    #-------------------------------------------------------------------------
    if verbose > 0:
        rp.print_unused_params()
        tc.report()

    sim.finalize()

    if comp_bench:
        return result
Пример #36
0
    # increment the time
    sim.cc_data.t += dt
    n += 1
    print("%5d %10.5f %10.5f" % (n, sim.cc_data.t, dt))


    # output
    dt_out = rp.get_param("io.dt_out")
    n_out = rp.get_param("io.n_out")

    if sim.cc_data.t >= (nout + 1)*dt_out or n%n_out == 0:

        tm_io = tc.timer("output")
        tm_io.begin()

        msg.warning("outputting...")
        basename = rp.get_param("io.basename")
        sim.cc_data.write(basename + "%4.4d" % (n))
        nout += 1

        tm_io.end()


    # visualization
    if dovis: 
        tm_vis = tc.timer("vis")
        tm_vis.begin()

        sim.dovis()
        store = rp.get_param("vis.store_images")
Пример #37
0
def test_vc_poisson_periodic(N,
                             store_bench=False,
                             comp_bench=False,
                             make_plot=False,
                             verbose=1):
    """
    test the variable-coefficient MG solver.  The return value
    here is the error compared to the exact solution, UNLESS
    comp_bench=True, in which case the return value is the
    error compared to the stored benchmark
    """

    # test the multigrid solver
    nx = N
    ny = nx

    # create the coefficient variable
    g = patch.Grid2d(nx, ny, ng=1)
    d = patch.CellCenterData2d(g)
    bc_c = bnd.BC(xlb="periodic",
                  xrb="periodic",
                  ylb="periodic",
                  yrb="periodic")
    d.register_var("c", bc_c)
    d.create()

    c = d.get_var("c")
    c[:, :] = alpha(g.x2d, g.y2d)

    # check whether the RHS sums to zero (necessary for periodic data)
    rhs = f(g.x2d, g.y2d)
    print("rhs sum: {}".format(np.sum(rhs[g.ilo:g.ihi + 1, g.jlo:g.jhi + 1])))

    # create the multigrid object
    a = MG.VarCoeffCCMG2d(nx,
                          ny,
                          xl_BC_type="periodic",
                          yl_BC_type="periodic",
                          xr_BC_type="periodic",
                          yr_BC_type="periodic",
                          coeffs=c,
                          coeffs_bc=bc_c,
                          verbose=verbose,
                          vis=0,
                          true_function=true)

    # initialize the solution to 0
    a.init_zeros()

    # initialize the RHS using the function f
    rhs = f(a.x2d, a.y2d)
    a.init_RHS(rhs)

    # solve to a relative tolerance of 1.e-11
    a.solve(rtol=1.e-11)

    # alternately, we can just use smoothing by uncommenting the following
    #a.smooth(a.nlevels-1,10000)

    # get the solution
    v = a.get_solution()

    # get the true solution
    b = true(a.x2d, a.y2d)

    # compute the error from the analytic solution -- note that with
    # periodic BCs all around, there is nothing to normalize the
    # solution.  We subtract off the average of phi from the MG
    # solution (we do the same for the true solution to put them on
    # the same footing)
    e = v - np.sum(v.v()) / (nx * ny) - (
        b - np.sum(b[a.ilo:a.ihi + 1, a.jlo:a.jhi + 1]) / (nx * ny))

    enorm = e.norm()
    print(" L2 error from true solution = %g\n rel. err from previous cycle = %g\n num. cycles = %d" % \
          (enorm, a.relative_error, a.num_cycles))

    # plot the solution
    if make_plot:
        plt.clf()

        plt.figure(figsize=(10.0, 4.0), dpi=100, facecolor='w')

        plt.subplot(121)

        plt.imshow(np.transpose(v.v()),
                   interpolation="nearest",
                   origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("nx = {}".format(nx))

        plt.colorbar()

        plt.subplot(122)

        plt.imshow(np.transpose(e.v()),
                   interpolation="nearest",
                   origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")
        plt.title("error")

        plt.colorbar()

        plt.tight_layout()

        plt.savefig("mg_vc_periodic_test.png")

    # store the output for later comparison
    bench = "mg_vc_poisson_periodic"
    bench_dir = os.environ["PYRO_HOME"] + "/multigrid/tests/"

    my_data = a.get_solution_object()

    if store_bench:
        my_data.write("{}/{}".format(bench_dir, bench))

    # do we do a comparison?
    if comp_bench:
        compare_file = "{}/{}".format(bench_dir, bench)
        msg.warning("comparing to {}".format(compare_file))
        bench_grid, bench_data = patch.read(compare_file)

        result = compare.compare(my_data.grid, my_data, bench_grid, bench_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: {}\n".format(compare.errors[result]))

        return result

    # normal return -- error wrt true solution
    return enorm
Пример #38
0
def test_poisson_dirichlet(N, store_bench=False, comp_bench=False,
                           make_plot=False, verbose=1):
    
    # test the multigrid solver
    nx = N
    ny = nx


    # create the multigrid object
    a = MG.CellCenterMG2d(nx, ny,
                          xl_BC_type="dirichlet", yl_BC_type="dirichlet",
                          xr_BC_type="dirichlet", yr_BC_type="dirichlet",
                          verbose=verbose)

    # initialize the solution to 0
    a.init_zeros()

    # initialize the RHS using the function f
    rhs = f(a.x2d, a.y2d)
    a.init_RHS(rhs)

    # solve to a relative tolerance of 1.e-11
    a.solve(rtol=1.e-11)

    # alternately, we can just use smoothing by uncommenting the following
    #a.smooth(a.nlevels-1,50000)

    # get the solution
    v = a.get_solution()

    # compute the error from the analytic solution
    b = true(a.x2d,a.y2d)
    e = v - b

    print(" L2 error from true solution = %g\n rel. err from previous cycle = %g\n num. cycles = %d" % \
          (a.soln_grid.norm(e), a.relative_error, a.num_cycles))


    # plot it
    if make_plot:
        plt.figure(num=1, figsize=(5.0,5.0), dpi=100, facecolor='w')

        plt.imshow(np.transpose(v[a.ilo:a.ihi+1,a.jlo:a.jhi+1]),
                   interpolation="nearest", origin="lower",
                   extent=[a.xmin, a.xmax, a.ymin, a.ymax])

        plt.xlabel("x")
        plt.ylabel("y")

        plt.savefig("mg_test.png")

        
    # store the output for later comparison
    bench = "mg_poisson_dirichlet"
    bench_dir = os.environ["PYRO_HOME"] + "/multigrid/tests/"

    my_data = a.get_solution_object()
    
    if store_bench:
        my_data.write("{}/{}".format(bench_dir, bench))

    # do we do a comparison?
    if comp_bench:
        compare_file = "{}/{}".format(bench_dir, bench)
        msg.warning("comparing to: %s " % (compare_file) )
        bench_grid, bench_data = patch.read(compare_file)

        result = compare.compare(my_data.grid, my_data, bench_grid, bench_data)

        if result == 0:
            msg.success("results match benchmark\n")
        else:
            msg.warning("ERROR: " + compare.errors[result] + "\n")

        return result

    return None