def test_rate_operator_functions_empty_indices(self):
        from anuga.config import rho_a, rho_w, eta_w
        from math import pi, cos, sin

        a = [0.0, 0.0]
        b = [0.0, 2.0]
        c = [2.0, 0.0]
        d = [0.0, 4.0]
        e = [2.0, 2.0]
        f = [4.0, 0.0]

        points = [a, b, c, d, e, f]
        #             bac,     bce,     ecf,     dbe
        vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]

        domain = Domain(points, vertices)

        #Flat surface with 1m of water
        domain.set_quantity('elevation', 0.0)
        domain.set_quantity('stage', 1.0)
        domain.set_quantity('friction', 0.0)

        Br = Reflective_boundary(domain)
        domain.set_boundary({'exterior': Br})

        verbose = False

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        # Apply operator to these triangles
        indices = []
        factor = 10.0


        def main_spatial_rate(x,y,t):
            # x and y should be an n by 1 array
            return x + y

        default_rate = 0.0

        domain.tri_full_flag[0] = 0
        operator = Rate_operator(domain, rate=main_spatial_rate, factor=factor, \
                      indices=indices, default_rate = default_rate)


        # Apply Operator
        domain.timestep = 2.0
        operator()

        t = operator.get_time()
        Q = operator.get_Q()
        x = operator.coord_c[indices,0]
        y = operator.coord_c[indices,1]
        rate = main_spatial_rate(x,y,t)*factor
        Q_ex = num.sum(domain.areas[indices]*rate)
        d = operator.get_timestep()*rate + 1

        #print Q_ex, Q
        #print indices
        #print "d"
        #print d
        stage_ex = num.array([ 1.0,  1.0,   1.0,  1.0])
        stage_ex[indices] = d

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        assert num.allclose(domain.quantities['stage'].centroid_values, stage_ex)
        assert num.allclose(domain.quantities['xmomentum'].centroid_values, 0.0)
        assert num.allclose(domain.quantities['ymomentum'].centroid_values, 0.0)
        assert num.allclose(Q_ex, Q)
        assert num.allclose(domain.fractional_step_volume_integral, ((d-1.)*domain.areas[indices]).sum())
    def test_rate_operator_rate_quantity(self):
        from anuga.config import rho_a, rho_w, eta_w
        from math import pi, cos, sin

        a = [0.0, 0.0]
        b = [0.0, 2.0]
        c = [2.0, 0.0]
        d = [0.0, 4.0]
        e = [2.0, 2.0]
        f = [4.0, 0.0]

        points = [a, b, c, d, e, f]
        #             bac,     bce,     ecf,     dbe
        vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]

        domain = Domain(points, vertices)

        #Flat surface with 1m of water
        domain.set_quantity('elevation', 0.0)
        domain.set_quantity('stage', 1.0)
        domain.set_quantity('friction', 0.0)

        Br = Reflective_boundary(domain)
        domain.set_boundary({'exterior': Br})

        verbose = False

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        # Apply operator to these triangles
        indices = [0,1,3]
        factor = 10.0


        from anuga import Quantity
        rate_Q = Quantity(domain)
        rate_Q.set_values(1.0)

        operator = Rate_operator(domain, rate=rate_Q, factor=factor, \
                                 indices=indices)


        # Apply Operator
        domain.timestep = 2.0
        operator()
        rate = rate_Q.centroid_values[indices]
        t = operator.get_time()
        Q = operator.get_Q()

        rate = rate*factor
        Q_ex = num.sum(domain.areas[indices]*rate)
        d = operator.get_timestep()*rate + 1


        #print "d"
        #print d
        #print Q_ex
        #print Q
        stage_ex = num.array([ 1.0,  1.0,   1.0,  1.0])
        stage_ex[indices] = d
        
        verbose = False
        
        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        assert num.allclose(domain.quantities['stage'].centroid_values, stage_ex)
        assert num.allclose(domain.quantities['xmomentum'].centroid_values, 0.0)
        assert num.allclose(domain.quantities['ymomentum'].centroid_values, 0.0)
        assert num.allclose(Q_ex, Q)
        assert num.allclose(domain.fractional_step_volume_integral, ((d-1.)*domain.areas[indices]).sum())
Example #3
0
    def test_rate_operator_functions_spatial_with_ghost(self):
        from anuga.config import rho_a, rho_w, eta_w
        from math import pi, cos, sin

        a = [0.0, 0.0]
        b = [0.0, 2.0]
        c = [2.0, 0.0]
        d = [0.0, 4.0]
        e = [2.0, 2.0]
        f = [4.0, 0.0]

        points = [a, b, c, d, e, f]
        #             bac,     bce,     ecf,     dbe
        vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]

        domain = Domain(points, vertices)


        area = numpy.sum(domain.areas)

        #Flat surface with 1m of water
        domain.set_quantity('elevation', 0.0)
        domain.set_quantity('stage', 1.0)
        domain.set_quantity('friction', 0.0)

        Br = Reflective_boundary(domain)
        domain.set_boundary({'exterior': Br})

        verbose = False

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        # Apply operator to these triangles
        factor = 10.0


        def main_spatial_rate(x,y,t):
            # x and y should be an n by 1 array
            return x + y

        default_rate = 0.0

        # kludge to make a ghost cell
        domain.tri_full_flag[1] = 0

        operator = Rate_operator(domain, rate=main_spatial_rate, factor=factor, \
                      default_rate = default_rate)


        # Apply Operator
        domain.timestep = 2.0
        operator()


        t = operator.get_time()
        Q_all = operator.get_Q(full_only=False)
        Q_full = operator.get_Q()
        x = operator.coord_c[:,0]
        y = operator.coord_c[:,1]
        rate = main_spatial_rate(x,y,t)*factor
        Q_ex_all = num.sum(domain.areas*rate)
        Q_ex_full = num.sum(num.where(domain.tri_full_flag==1,domain.areas*rate,0.0))
        d = operator.get_timestep()*rate + 1

        #print "d"
        #print d
        #print Q_ex_full, Q_ex_all
        stage_ex = num.array([ 1.0,  1.0,   1.0,  1.0])
        stage_ex[:] = d

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        assert num.allclose(domain.quantities['stage'].centroid_values, stage_ex)
        assert num.allclose(domain.quantities['xmomentum'].centroid_values, 0.0)
        assert num.allclose(domain.quantities['ymomentum'].centroid_values, 0.0)
        assert num.allclose(Q_ex_all, Q_all)
        assert num.allclose(Q_ex_full, Q_full)
        assert num.allclose(domain.fractional_step_volume_integral, ((d-1.)*domain.areas*domain.tri_full_flag).sum())

        # test timestepping_statistics
        stats = operator.timestepping_statistics()
        import re
        rr = re.findall("[-+]?[.]?[\d]+(?:,\d\d\d)*[\.]?\d*(?:[eE][-+]?\d+)?", stats)

        assert num.allclose(float(rr[1]), 1.33333)
        assert num.allclose(float(rr[2]), 3.33333)
        assert num.allclose(float(rr[3]), 160.0)
    def test_rate_operator_functions_rate_default_rate(self):
        from anuga.config import rho_a, rho_w, eta_w
        from math import pi, cos, sin

        a = [0.0, 0.0]
        b = [0.0, 2.0]
        c = [2.0, 0.0]
        d = [0.0, 4.0]
        e = [2.0, 2.0]
        f = [4.0, 0.0]

        points = [a, b, c, d, e, f]
        #             bac,     bce,     ecf,     dbe
        vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]

        domain = Domain(points, vertices)

        #Flat surface with 1m of water
        domain.set_quantity('elevation', 0)
        domain.set_quantity('stage', 1.0)
        domain.set_quantity('friction', 0)

        Br = Reflective_boundary(domain)
        domain.set_boundary({'exterior': Br})

        verbose = False
        
        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        # Apply operator to these triangles
        indices = [0,1,3]
        factor = 10.0


        def main_rate(t):
            if t > 20:
                msg = 'Model time exceeded.'
                raise Modeltime_too_late, msg
            else:
                return 3.0 * t + 7.0

        default_rate = lambda t: 3*t + 7


        operator = Rate_operator(domain, rate=main_rate, factor=factor, \
                      indices=indices, default_rate = default_rate)


        # Apply Operator
        domain.timestep = 2.0
        operator()

        t = operator.get_time()
        d = operator.get_timestep()*main_rate(t)*factor + 1
        stage_ex = [ d,  d,   1.,  d]

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        assert num.allclose(domain.quantities['stage'].centroid_values, stage_ex)
        assert num.allclose(domain.quantities['xmomentum'].centroid_values, 0.0)
        assert num.allclose(domain.quantities['ymomentum'].centroid_values, 0.0)
        assert num.allclose(domain.fractional_step_volume_integral, ((d-1.)*domain.areas[indices]).sum())

        domain.set_starttime(30.0)
        domain.timestep = 1.0
        operator()

        t = operator.get_time()
        d = operator.get_timestep()*default_rate(t)*factor + d
        stage_ex = [ d,  d,   1.,  d]

        if verbose:
            print domain.quantities['elevation'].centroid_values
            print domain.quantities['stage'].centroid_values
            print domain.quantities['xmomentum'].centroid_values
            print domain.quantities['ymomentum'].centroid_values

        assert num.allclose(domain.quantities['stage'].centroid_values, stage_ex)
        assert num.allclose(domain.quantities['xmomentum'].centroid_values, 0.0)
        assert num.allclose(domain.quantities['ymomentum'].centroid_values, 0.0)
    def test_rate_operator_functions_spatial(self):
        from anuga.config import rho_a, rho_w, eta_w
        from math import pi, cos, sin

        a = [0.0, 0.0]
        b = [0.0, 2.0]
        c = [2.0, 0.0]
        d = [0.0, 4.0]
        e = [2.0, 2.0]
        f = [4.0, 0.0]

        points = [a, b, c, d, e, f]
        #             bac,     bce,     ecf,     dbe
        vertices = [[1, 0, 2], [1, 2, 4], [4, 2, 5], [3, 1, 4]]

        domain = Domain(points, vertices)

        area = numpy.sum(domain.areas)

        # Flat surface with 1m of water
        domain.set_quantity("elevation", 0.0)
        domain.set_quantity("stage", 1.0)
        domain.set_quantity("friction", 0.0)

        Br = Reflective_boundary(domain)
        domain.set_boundary({"exterior": Br})

        verbose = False

        if verbose:
            print domain.quantities["elevation"].centroid_values
            print domain.quantities["stage"].centroid_values
            print domain.quantities["xmomentum"].centroid_values
            print domain.quantities["ymomentum"].centroid_values

        # Apply operator to these triangles
        factor = 10.0

        def main_spatial_rate(x, y, t):
            # x and y should be an n by 1 array
            return x + y

        default_rate = 0.0

        operator = Rate_operator(domain, rate=main_spatial_rate, factor=factor, default_rate=default_rate)

        # Apply Operator
        domain.timestep = 2.0
        operator()

        t = operator.get_time()
        Q = operator.get_Q()
        x = operator.coord_c[:, 0]
        y = operator.coord_c[:, 1]
        rate = main_spatial_rate(x, y, t) * factor
        Q_ex = num.sum(domain.areas * rate)
        d = operator.get_timestep() * rate + 1

        # print "d"
        # print d
        # print area, Q, Q_ex
        stage_ex = num.array([1.0, 1.0, 1.0, 1.0])
        stage_ex[:] = d

        if verbose:
            print domain.quantities["elevation"].centroid_values
            print domain.quantities["stage"].centroid_values
            print domain.quantities["xmomentum"].centroid_values
            print domain.quantities["ymomentum"].centroid_values

        assert num.allclose(domain.quantities["stage"].centroid_values, stage_ex)
        assert num.allclose(domain.quantities["xmomentum"].centroid_values, 0.0)
        assert num.allclose(domain.quantities["ymomentum"].centroid_values, 0.0)
        assert num.allclose(Q_ex, Q)