Пример #1
0
    # visualize initial condition
    #try:
    plotNode(axs[0], grid, conf)
    #plotXmesh(axs[1], grid, conf, 0, "x")
    saveVisz(-1, grid, conf)
    #except:
    #    print()
    #    pass

    Nsamples = conf.Nt

    fldprop = pyfld.FDTD2()
    pusher = pypic.BorisPusher()
    fintp = pypic.LinearInterpolator()
    currint = pypic.ZigZag()
    analyzer = pypic.Analyzator()
    flt = pytools.Filter(conf.NxMesh, conf.NyMesh)
    flt.init_gaussian_kernel(2.0, 2.0)

    #simulation loop
    time = 0.0
    ifile = 0
    for lap in range(0, conf.Nt):

        # Tristan loop
        #advance B half
        #move particles
        #advance B half
        #advance E
        #reset current (j=0)
Пример #2
0
    def test_current_exchange(self):
        """test that current exchange is producing hand-build array"""


        #plt.fig = plt.figure(1, figsize=(5,7))
        #plt.rc('font', family='serif', size=12)
        #plt.rc('xtick')
        #plt.rc('ytick')
        #
        #gs = plt.GridSpec(5, 1)
        #
        #axs = []
        #for ai in range(5):
        #    axs.append( plt.subplot(gs[ai]) )


        conf = Conf()
        conf.Nx = 3
        conf.Ny = 3
        conf.Nz = 1
        conf.NxMesh = 10
        conf.NyMesh = 10
        conf.NzMesh = 1
        conf.ppc = 10
        conf.vel = 0.1
        conf.Nspecies = 2
        conf.me =-1.0        #electron mass-to-charge
        conf.mi = 1.0        #ion mass-to-charge

        conf.update_bbox()

        grid = pycorgi.twoD.Grid(conf.Nx, conf.Ny, conf.Nz)
        grid.set_grid_lims(conf.xmin, conf.xmax, conf.ymin, conf.ymax)
        loadTiles(grid, conf)
        #insert_em(grid, conf, linear_field)
        insert_em(grid, conf, const_field)
        inject(grid, filler_xvel, conf) #injecting plasma particles

        #pusher   = pypic.BorisPusher()
        #fintp    = pypic.LinearInterpolator()
        currint  = pypic.ZigZag()
        analyzer = pypic.Analyzator()

        for j in range(grid.get_Ny()):
            for i in range(grid.get_Nx()):
                c = grid.get_tile(i,j)
                yee = c.get_yee(0)
                for l in range(-3, conf.NxMesh+3):
                    for m in range(-3,conf.NyMesh+3):
                        for n in range(-3,conf.NzMesh+3):
                            yee.jx[l,m,n] = 1.0
                            yee.jy[l,m,n] = 1.0
                            yee.jz[l,m,n] = 1.0

        #deposit current
        #for j in range(grid.get_Ny()):
        #    for i in range(grid.get_Nx()):
        #for j in [1]:
        #    for i in [1]:
        #        tile = grid.get_tile(i,j)
        #        currint.solve(tile)

        #exchange currents for the middle one only
        for j in [1]:
            for i in [1]:
                tile = grid.get_tile(i,j)
                tile.exchange_currents(grid)


        #plotNode(axs[0], grid, conf)
        ##plot2dParticles(axs[0], grid, conf, downsample=0.1)
        #plot2dYee(axs[1], grid, conf, 'rho')
        #plot2dYee(axs[2], grid, conf, 'jx')
        #plot2dYee(axs[3], grid, conf, 'jy')
        #plot2dYee(axs[4], grid, conf, 'jz')
        #saveVisz(-1, grid, conf)

        # create reference 3 halo width array by hand
        ref = np.ones((conf.NxMesh, conf.NyMesh))
        ref[0:3,  : ]   = 2
        ref[-3:10,: ]   = 2
        ref[:, 0:3, ]   = 2
        ref[:, -3:10]   = 2

        ref[0:3,  0:3 ] = 4
        ref[7:10, 7:10] = 4
        ref[0:3,  7:10] = 4
        ref[7:10, 0:3 ] = 4
        #print(ref)

        for j in [1]:
            for i in [1]:
                c = grid.get_tile(i,j)
                yee = c.get_yee(0)
                for l in range(conf.NxMesh):
                    for m in range(conf.NyMesh):
                        self.assertEqual(ref[l,m], yee.jx[l,m,0] )
                        self.assertEqual(ref[l,m], yee.jy[l,m,0] )
                        self.assertEqual(ref[l,m], yee.jz[l,m,0] )
Пример #3
0
    def test_current_deposit(self):
        """
        test that current deposit of + and - particles with same x and v
        produce zero current in total.
        """


        try:
            plt.fig = plt.figure(1, figsize=(5,7))
            plt.rc('font', family='serif', size=12)
            plt.rc('xtick')
            plt.rc('ytick')
            gs = plt.GridSpec(5, 1)

            axs = []
            for ai in range(5):
                axs.append( plt.subplot(gs[ai]) )
        except:
            pass


        conf = Conf()
        conf.Nx = 3
        conf.Ny = 3
        conf.Nz = 1
        conf.NxMesh = 10
        conf.NyMesh = 10
        conf.NzMesh = 1
        conf.ppc = 1
        conf.vel = 0.1
        conf.Nspecies = 2
        conf.me = -1.0        #electron mass-to-charge
        conf.mi =  1.0        #ion mass-to-charge

        conf.update_bbox()

        grid = pycorgi.twoD.Grid(conf.Nx, conf.Ny, conf.Nz)
        grid.set_grid_lims(conf.xmin, conf.xmax, conf.ymin, conf.ymax)
        loadTiles(grid, conf)
        #insert_em(grid, conf, const_field)
        inject(grid, filler_xvel, conf) #injecting plasma particles

        #pusher   = pypic.BorisPusher()
        #fintp    = pypic.LinearInterpolator()
        currint  = pypic.ZigZag()
        analyzer = pypic.Analyzator()


        #deposit current
        for j in range(grid.get_Ny()):
            for i in range(grid.get_Nx()):
                tile = grid.get_tile(i,j)
                currint.solve(tile)

        #exchange currents for the middle one only
        #for j in [1]:
        #    for i in [1]:
        for j in range(grid.get_Ny()):
            for i in range(grid.get_Nx()):
                tile = grid.get_tile(i,j)
                tile.exchange_currents(grid)


        try:
            #plotNode(axs[0], grid, conf)
            plot2dParticles(axs[0], grid, conf, downsample=0.1)
            plot2dYee(axs[1], grid, conf, 'rho')
            plot2dYee(axs[2], grid, conf, 'jx')
            plot2dYee(axs[3], grid, conf, 'jy')
            plot2dYee(axs[4], grid, conf, 'jz')
            #saveVisz(-2, grid, conf)
        except:
            pass

        for j in range(grid.get_Ny()):
            for i in range(grid.get_Nx()):
                c = grid.get_tile(i,j)
                yee = c.get_yee(0)
                for l in range(conf.NxMesh):
                    for m in range(conf.NyMesh):
                        self.assertAlmostEqual(yee.jx[l,m,0], 0.0, places=7 )
                        self.assertAlmostEqual(yee.jy[l,m,0], 0.0, places=7 )
                        self.assertAlmostEqual(yee.jz[l,m,0], 0.0, places=7 )
Пример #4
0
    def skip_test_filters(self):
        """ filter integration test with rest of the PIC functions"""

        try:
            plt.fig = plt.figure(1, figsize=(5,7))
            plt.rc('font', family='serif', size=12)
            plt.rc('xtick')
            plt.rc('ytick')

            gs = plt.GridSpec(8, 1)

            axs = []
            for ai in range(8):
                axs.append( plt.subplot(gs[ai]) )
        except:
            pass


        conf = Conf()
        conf.Nx = 3
        conf.Ny = 3
        conf.Nz = 1
        conf.NxMesh = 3
        conf.NyMesh = 3
        conf.NzMesh = 1
        conf.ppc = 10
        conf.vel = 0.1
        conf.update_bbox()

        grid = pycorgi.twoD.Grid(conf.Nx, conf.Ny, conf.Nz)
        grid.set_grid_lims(conf.xmin, conf.xmax, conf.ymin, conf.ymax)
        loadTiles(grid, conf)
        #insert_em(grid, conf, linear_field)
        insert_em(grid, conf, zero_field)
        inject(grid, filler, conf) #injecting plasma particles
        #inject(grid, filler_xvel, conf) #injecting plasma particles

        #pusher   = pypic.BorisPusher()
        #fintp    = pypic.LinearInterpolator()
        currint  = pypic.ZigZag()
        analyzer = pypic.Analyzator()

        flt =  pytools.Filter(conf.NxMesh, conf.NyMesh)
        flt.init_gaussian_kernel(1.0, 1.0)


        #for lap in range(0, conf.Nt):
        for lap in range(1):

            #analyze
            for j in range(grid.get_Ny()):
                for i in range(grid.get_Nx()):
                    tile = grid.get_tile(i,j)
                    analyzer.analyze2d(tile)

            #update boundaries
            for j in range(grid.get_Ny()):
                for i in range(grid.get_Nx()):
                    tile = grid.get_tile(i,j)
                    tile.update_boundaries(grid)

            #deposit current
            for j in range(grid.get_Ny()):
                for i in range(grid.get_Nx()):
                    tile = grid.get_tile(i,j)
                    currint.solve(tile)

            #exchange currents
            for j in range(grid.get_Ny()):
                for i in range(grid.get_Nx()):
                    tile = grid.get_tile(i,j)
                    tile.exchange_currents(grid)

            try:
                plotNode(axs[0], grid, conf)
                #plot2dParticles(axs[0], grid, conf, downsample=0.1)
                plot2dYee(axs[1], grid, conf, 'rho')
                plot2dYee(axs[2], grid, conf, 'jx')
                plot2dYee(axs[3], grid, conf, 'jy')
                plot2dYee(axs[4], grid, conf, 'jz')
            except:
                pass

            yee_ref = getYee2D(grid, conf)

            #filter
            for j in range(grid.get_Ny()):
                for i in range(grid.get_Nx()):
                    print(" i j ({},{})".format(i,j))
                    tile = grid.get_tile(i,j)
                    flt.get_padded_current(tile, grid)

                    # fourier space filtering
                    flt.fft_image_forward()
                    flt.apply_kernel()
                    flt.fft_image_backward()

                    # direct filtering
                    #for fj in range(1):
                    #    flt.direct_convolve_3point()
                    flt.set_current(tile)

            #cycle new and temporary currents
            for j in range(grid.get_Ny()):
                for i in range(grid.get_Nx()):
                    tile = grid.get_tile(i,j)
                    tile.cycle_current()

            yee = getYee2D(grid, conf)

            try:
                plot2dYee(axs[5], grid, conf, 'jx')
                plot2dYee(axs[6], grid, conf, 'jy')
                plot2dYee(axs[7], grid, conf, 'jz')
                #saveVisz(lap, grid, conf)
            except:
                pass

            for j in range(conf.Ny*conf.NyMesh):
                for i in range(conf.Nx*conf.NxMesh):
                    #print("({},{})".format(i,j))
                    self.assertAlmostEqual( yee_ref['jx'][i,j], yee['jx'][i,j], places=6 )
                    self.assertAlmostEqual( yee_ref['jy'][i,j], yee['jy'][i,j], places=6 )
                    self.assertAlmostEqual( yee_ref['jz'][i,j], yee['jz'][i,j], places=6 )