Python FieldVariable.evaluate_at方法代码示例

# 需要导入模块: from sfepy.discrete import FieldVariable [as 别名]
# 或者: from sfepy.discrete.FieldVariable import evaluate_at [as 别名]
    def test_projection_iga_fem(self):
        from sfepy.discrete import FieldVariable
        from sfepy.discrete.fem import FEDomain, Field
        from sfepy.discrete.iga.domain import IGDomain
        from sfepy.mesh.mesh_generators import gen_block_mesh
        from sfepy.discrete.iga.domain_generators import gen_patch_block_domain
        from sfepy.discrete.projections import (make_l2_projection,
                                                make_l2_projection_data)

        shape = [10, 12, 12]
        dims = [5, 6, 6]
        centre = [0, 0, 0]
        degrees = [2, 2, 2]

        nurbs, bmesh, regions = gen_patch_block_domain(dims, shape, centre,
                                                       degrees,
                                                       cp_mode='greville',
                                                       name='iga')
        ig_domain = IGDomain('iga', nurbs, bmesh, regions=regions)

        ig_omega = ig_domain.create_region('Omega', 'all')
        ig_field = Field.from_args('iga', nm.float64, 1, ig_omega,
                                   approx_order='iga', poly_space_base='iga')
        ig_u = FieldVariable('ig_u', 'parameter', ig_field,
                             primary_var_name='(set-to-None)')

        mesh = gen_block_mesh(dims, shape, centre, name='fem')
        fe_domain = FEDomain('fem', mesh)

        fe_omega = fe_domain.create_region('Omega', 'all')
        fe_field = Field.from_args('fem', nm.float64, 1, fe_omega,
                                   approx_order=2)
        fe_u = FieldVariable('fe_u', 'parameter', fe_field,
                             primary_var_name='(set-to-None)')

        def _eval_data(ts, coors, mode, **kwargs):
            return nm.prod(coors**2, axis=1)[:, None, None]

        make_l2_projection_data(ig_u, _eval_data)

        make_l2_projection(fe_u, ig_u) # This calls ig_u.evaluate_at().

        coors = 0.5 * nm.random.rand(20, 3) * dims

        ig_vals = ig_u.evaluate_at(coors)
        fe_vals = fe_u.evaluate_at(coors)

        ok = nm.allclose(ig_vals, fe_vals, rtol=0.0, atol=1e-12)
        if not ok:
            self.report('iga-fem projection failed!')
            self.report('coors:')
            self.report(coors)
            self.report('iga fem diff:')
            self.report(nm.c_[ig_vals, fe_vals, nm.abs(ig_vals - fe_vals)])

        return ok

# 需要导入模块: from sfepy.discrete import FieldVariable [as 别名]
# 或者: from sfepy.discrete.FieldVariable import evaluate_at [as 别名]
    def test_projection_tri_quad(self):
        from sfepy.discrete.projections import make_l2_projection

        source = FieldVariable('us', 'unknown', self.field)

        coors = self.field.get_coor()
        vals = nm.sin(2.0 * nm.pi * coors[:,0] * coors[:,1])
        source.set_data(vals)

        name = op.join(self.options.out_dir,
                       'test_projection_tri_quad_source.vtk')
        source.save_as_mesh(name)

        mesh = Mesh.from_file('meshes/2d/square_quad.mesh',
                              prefix_dir=sfepy.data_dir)
        domain = FEDomain('domain', mesh)

        omega = domain.create_region('Omega', 'all')


        field = Field.from_args('bilinear', nm.float64, 'scalar', omega,
                                approx_order=1)

        target = FieldVariable('ut', 'unknown', field)

        make_l2_projection(target, source)

        name = op.join(self.options.out_dir,
                       'test_projection_tri_quad_target.vtk')
        target.save_as_mesh(name)

        bbox = self.field.domain.get_mesh_bounding_box()
        x = nm.linspace(bbox[0, 0] + 0.001, bbox[1, 0] - 0.001, 20)
        y = nm.linspace(bbox[0, 1] + 0.001, bbox[1, 1] - 0.001, 20)

        xx, yy = nm.meshgrid(x, y)
        test_coors = nm.c_[xx.ravel(), yy.ravel()].copy()

        vec1 = source.evaluate_at(test_coors)
        vec2 = target.evaluate_at(test_coors)

        ok = (nm.abs(vec1 - vec2) < 0.01).all()

        return ok

# 需要导入模块: from sfepy.discrete import FieldVariable [as 别名]
# 或者: from sfepy.discrete.FieldVariable import evaluate_at [as 别名]
    def test_variables(self):
        from sfepy.discrete import FieldVariable, Integral

        ok = True

        u = FieldVariable('u', 'parameter', self.field,
                          primary_var_name='(set-to-None)')
        u.set_constant(1.0)
        vec = u() # Nodal values.

        _ok = nm.allclose(vec, 1.0)
        self.report('set constant:', _ok)
        ok = _ok and ok

        def fun(coors):
            val = nm.empty_like(coors)
            val[:, 0] = 2 * coors[:, 1] - coors[:, 0]
            val[:, 1] = coors[:, 0] + 3 * coors[:, 1]
            return val
        u.set_from_function(fun)

        coors = u.field.get_coor()
        eu = u.evaluate_at(coors)

        _ok = nm.allclose(eu, fun(coors), rtol=0.0, atol=1e-13)
        self.report('set from function:', _ok)
        ok = _ok and ok

        integral = Integral('i', order=2)
        gu_qp = u.evaluate(mode='grad', integral=integral)

        # du_i/dx_j, i = column, j = row.
        gu = nm.array([[-1.,  1.],
                       [ 2.,  3.]])
        _ok = nm.allclose(gu_qp, gu[None, None, ...], rtol=0.0, atol=1e-13)
        self.report('set from function - gradient:', _ok)
        ok = _ok and ok

        u_qp = gu_qp[..., :, :1]
        u.set_from_qp(u_qp, integral)
        vu = u()

        _ok = (nm.allclose(vu[::2], -1, rtol=0.0, atol=1e-13) and
               nm.allclose(vu[1::2], 2, rtol=0.0, atol=1e-13))
        self.report('set from qp:', _ok)
        ok = _ok and ok

        return ok