Nektar++
TestGetCoords.cpp
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1///////////////////////////////////////////////////////////////////////////////
2//
3// File: TestGetCoords.cpp
4//
5// For more information, please see: http://www.nektar.info
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7// The MIT License
8//
9// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10// Department of Aeronautics, Imperial College London (UK), and Scientific
11// Computing and Imaging Institute, University of Utah (USA).
12//
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30//
31// Description:
32//
33///////////////////////////////////////////////////////////////////////////////
34
35#include <LocalRegions/HexExp.h>
36#include <SpatialDomains/MeshGraph.h>
37#include <boost/test/tools/floating_point_comparison.hpp>
38#include <boost/test/unit_test.hpp>
39
40namespace Nektar
41{
42namespace HexExpTests
43{
44SpatialDomains::SegGeomSharedPtr CreateSegGeom(
45 unsigned int id, SpatialDomains::PointGeomSharedPtr v0,
46 SpatialDomains::PointGeomSharedPtr v1)
47{
48 SpatialDomains::PointGeomSharedPtr vertices[] = {v0, v1};
49 SpatialDomains::SegGeomSharedPtr result(
50 new SpatialDomains::SegGeom(id, 3, vertices));
51 return result;
52}
53
54SpatialDomains::HexGeomSharedPtr CreateHex(
55 SpatialDomains::PointGeomSharedPtr v0,
56 SpatialDomains::PointGeomSharedPtr v1,
57 SpatialDomains::PointGeomSharedPtr v2,
58 SpatialDomains::PointGeomSharedPtr v3,
59 SpatialDomains::PointGeomSharedPtr v4,
60 SpatialDomains::PointGeomSharedPtr v5,
61 SpatialDomains::PointGeomSharedPtr v6,
62 SpatialDomains::PointGeomSharedPtr v7)
63{
64 Nektar::SpatialDomains::SegGeomSharedPtr e0 = CreateSegGeom(0, v0, v1);
65 Nektar::SpatialDomains::SegGeomSharedPtr e1 = CreateSegGeom(1, v1, v2);
66 Nektar::SpatialDomains::SegGeomSharedPtr e2 = CreateSegGeom(2, v2, v3);
67 Nektar::SpatialDomains::SegGeomSharedPtr e3 = CreateSegGeom(3, v3, v0);
68 Nektar::SpatialDomains::SegGeomSharedPtr e4 = CreateSegGeom(4, v0, v4);
69 Nektar::SpatialDomains::SegGeomSharedPtr e5 = CreateSegGeom(5, v1, v5);
70 Nektar::SpatialDomains::SegGeomSharedPtr e6 = CreateSegGeom(6, v2, v6);
71 Nektar::SpatialDomains::SegGeomSharedPtr e7 = CreateSegGeom(7, v3, v7);
72 Nektar::SpatialDomains::SegGeomSharedPtr e8 = CreateSegGeom(8, v4, v5);
73 Nektar::SpatialDomains::SegGeomSharedPtr e9 = CreateSegGeom(9, v5, v6);
74 Nektar::SpatialDomains::SegGeomSharedPtr e10 = CreateSegGeom(10, v6, v7);
75 Nektar::SpatialDomains::SegGeomSharedPtr e11 = CreateSegGeom(11, v4, v7);
76
77 Nektar::SpatialDomains::SegGeomSharedPtr
78 edgesF0[Nektar::SpatialDomains::QuadGeom::kNedges] = {e0, e1, e2, e3};
79 Nektar::SpatialDomains::SegGeomSharedPtr
80 edgesF1[Nektar::SpatialDomains::QuadGeom::kNedges] = {e0, e5, e8, e4};
81 Nektar::SpatialDomains::SegGeomSharedPtr
82 edgesF2[Nektar::SpatialDomains::QuadGeom::kNedges] = {e1, e6, e9, e5};
83 Nektar::SpatialDomains::SegGeomSharedPtr
84 edgesF3[Nektar::SpatialDomains::QuadGeom::kNedges] = {e2, e6, e10, e7};
85 Nektar::SpatialDomains::SegGeomSharedPtr
86 edgesF4[Nektar::SpatialDomains::QuadGeom::kNedges] = {e3, e7, e11, e4};
87 Nektar::SpatialDomains::SegGeomSharedPtr
88 edgesF5[Nektar::SpatialDomains::QuadGeom::kNedges] = {e8, e9, e10, e11};
89
90 Nektar::SpatialDomains::QuadGeomSharedPtr face0(
91 new SpatialDomains::QuadGeom(0, edgesF0));
92 Nektar::SpatialDomains::QuadGeomSharedPtr face1(
93 new SpatialDomains::QuadGeom(1, edgesF1));
94 Nektar::SpatialDomains::QuadGeomSharedPtr face2(
95 new SpatialDomains::QuadGeom(2, edgesF2));
96 Nektar::SpatialDomains::QuadGeomSharedPtr face3(
97 new SpatialDomains::QuadGeom(3, edgesF3));
98 Nektar::SpatialDomains::QuadGeomSharedPtr face4(
99 new SpatialDomains::QuadGeom(4, edgesF4));
100 Nektar::SpatialDomains::QuadGeomSharedPtr face5(
101 new SpatialDomains::QuadGeom(5, edgesF5));
102
103 Nektar::SpatialDomains::QuadGeomSharedPtr qfaces[] = {face0, face1, face2,
104 face3, face4, face5};
105 SpatialDomains::HexGeomSharedPtr hexGeom(
106 new SpatialDomains::HexGeom(0, qfaces));
107 return hexGeom;
108}
109
110BOOST_AUTO_TEST_CASE(TestHexExpThatIsStdRegion)
111{
112 SpatialDomains::PointGeomSharedPtr v0(
113 new SpatialDomains::PointGeom(3u, 0u, -1.0, -1.0, -1.0));
114 SpatialDomains::PointGeomSharedPtr v1(
115 new SpatialDomains::PointGeom(3u, 1u, 1.0, -1.0, -1.0));
116 SpatialDomains::PointGeomSharedPtr v2(
117 new SpatialDomains::PointGeom(3u, 2u, 1.0, 1.0, -1.0));
118 SpatialDomains::PointGeomSharedPtr v3(
119 new SpatialDomains::PointGeom(3u, 3u, -1.0, 1.0, -1.0));
120 SpatialDomains::PointGeomSharedPtr v4(
121 new SpatialDomains::PointGeom(3u, 4u, -1.0, -1.0, 1.0));
122 SpatialDomains::PointGeomSharedPtr v5(
123 new SpatialDomains::PointGeom(3u, 5u, 1.0, -1.0, 1.0));
124 SpatialDomains::PointGeomSharedPtr v6(
125 new SpatialDomains::PointGeom(3u, 6u, 1.0, 1.0, 1.0));
126 SpatialDomains::PointGeomSharedPtr v7(
127 new SpatialDomains::PointGeom(3u, 7u, -1.0, 1.0, 1.0));
128
129 SpatialDomains::HexGeomSharedPtr hexGeom =
130 CreateHex(v0, v1, v2, v3, v4, v5, v6, v7);
131
132 Nektar::LibUtilities::PointsType quadPointsTypeDir1 =
133 Nektar::LibUtilities::eGaussLobattoLegendre;
134 Nektar::LibUtilities::BasisType basisTypeDir1 =
135 Nektar::LibUtilities::eModified_A;
136 unsigned int numQuadPoints = 6;
137 const Nektar::LibUtilities::PointsKey quadPointsKeyDir1(numQuadPoints,
138 quadPointsTypeDir1);
139 const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
140 quadPointsKeyDir1);
141
142 Nektar::LocalRegions::HexExpSharedPtr hexExp =
143 MemoryManager<Nektar::LocalRegions::HexExp>::AllocateSharedPtr(
144 basisKeyDir1, basisKeyDir1, basisKeyDir1, hexGeom);
145
146 Array<OneD, NekDouble> c0 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
147 Array<OneD, NekDouble> c1 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
148 Array<OneD, NekDouble> c2 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
149 hexExp->GetCoords(c0, c1, c2);
150 std::shared_ptr<StdRegions::StdHexExp> stdHex =
151 std::dynamic_pointer_cast<StdRegions::StdHexExp>(hexExp);
152 stdHex->GetCoords(c0, c1, c2);
153 double epsilon = 1.0e-8;
154 BOOST_CHECK_CLOSE(c0[0], -1.0, epsilon);
155 BOOST_CHECK_CLOSE(c0[1], -0.76505532392946474, epsilon);
156 BOOST_CHECK_CLOSE(c0[2], -0.28523151648064510, epsilon);
157 BOOST_CHECK_CLOSE(c0[3], 0.28523151648064510, epsilon);
158 BOOST_CHECK_CLOSE(c0[4], 0.76505532392946474, epsilon);
159 BOOST_CHECK_CLOSE(c0[5], 1.0, epsilon);
160}
161
162BOOST_AUTO_TEST_CASE(TestScaledAndTranslatedHexExp)
163{
164 SpatialDomains::PointGeomSharedPtr v0(
165 new SpatialDomains::PointGeom(3u, 0u, 0.0, 0.0, 0.0));
166 SpatialDomains::PointGeomSharedPtr v1(
167 new SpatialDomains::PointGeom(3u, 1u, 0.5, 0.0, 0.0));
168 SpatialDomains::PointGeomSharedPtr v2(
169 new SpatialDomains::PointGeom(3u, 2u, 0.5, 0.5, 0.0));
170 SpatialDomains::PointGeomSharedPtr v3(
171 new SpatialDomains::PointGeom(3u, 3u, 0.0, 0.5, 0.0));
172 SpatialDomains::PointGeomSharedPtr v4(
173 new SpatialDomains::PointGeom(3u, 4u, 0.0, 0.0, 0.5));
174 SpatialDomains::PointGeomSharedPtr v5(
175 new SpatialDomains::PointGeom(3u, 5u, 0.5, 0.0, 0.5));
176 SpatialDomains::PointGeomSharedPtr v6(
177 new SpatialDomains::PointGeom(3u, 6u, 0.5, 0.5, 0.5));
178 SpatialDomains::PointGeomSharedPtr v7(
179 new SpatialDomains::PointGeom(3u, 7u, 0.0, 0.5, 0.5));
180
181 SpatialDomains::HexGeomSharedPtr hexGeom =
182 CreateHex(v0, v1, v2, v3, v4, v5, v6, v7);
183
184 Nektar::LibUtilities::PointsType quadPointsTypeDir1 =
185 Nektar::LibUtilities::eGaussLobattoLegendre;
186 Nektar::LibUtilities::BasisType basisTypeDir1 =
187 Nektar::LibUtilities::eModified_A;
188 unsigned int numQuadPoints = 6;
189 const Nektar::LibUtilities::PointsKey quadPointsKeyDir1(numQuadPoints,
190 quadPointsTypeDir1);
191 const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
192 quadPointsKeyDir1);
193
194 Nektar::LocalRegions::HexExpSharedPtr hexExp =
195 MemoryManager<Nektar::LocalRegions::HexExp>::AllocateSharedPtr(
196 basisKeyDir1, basisKeyDir1, basisKeyDir1, hexGeom);
197
198 Array<OneD, NekDouble> c0 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
199 Array<OneD, NekDouble> c1 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
200 Array<OneD, NekDouble> c2 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
201 hexExp->GetCoords(c0, c1, c2);
202
203 double epsilon = 1.0e-8;
204 BOOST_CHECK_EQUAL(c0[0], 0.0);
205 BOOST_CHECK_CLOSE(c0[1], .05873616902, epsilon);
206 BOOST_CHECK_CLOSE(c0[2], .17869212088, epsilon);
207 BOOST_CHECK_CLOSE(c0[3], .32130787912, epsilon);
208 BOOST_CHECK_CLOSE(c0[4], .44126383098, epsilon);
209 BOOST_CHECK_CLOSE(c0[5], .5, epsilon);
210}
211} // namespace HexExpTests
212} // namespace Nektar
Nektar::LibUtilities::BasisKey
Describes the specification for a Basis.
Definition: Basis.h:47
Nektar::LibUtilities::PointsKey
Defines a specification for a set of points.
Definition: Points.h:55
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:168
Nektar::SpatialDomains::QuadGeom::kNedges
static const int kNedges
Definition: QuadGeom.h:76
Nektar::HexExpTests::CreateHex
SpatialDomains::HexGeomSharedPtr CreateHex(SpatialDomains::PointGeomSharedPtr v0, SpatialDomains::PointGeomSharedPtr v1, SpatialDomains::PointGeomSharedPtr v2, SpatialDomains::PointGeomSharedPtr v3, SpatialDomains::PointGeomSharedPtr v4, SpatialDomains::PointGeomSharedPtr v5, SpatialDomains::PointGeomSharedPtr v6, SpatialDomains::PointGeomSharedPtr v7)
Definition: TestGetCoords.cpp:54
Nektar::HexExpTests::CreateSegGeom
SpatialDomains::SegGeomSharedPtr CreateSegGeom(unsigned int id, SpatialDomains::PointGeomSharedPtr v0, SpatialDomains::PointGeomSharedPtr v1)
Definition: TestGetCoords.cpp:44
Nektar::HexExpTests::BOOST_AUTO_TEST_CASE
BOOST_AUTO_TEST_CASE(TestHexExpThatIsStdRegion)
Definition: TestGetCoords.cpp:110
Nektar::LibUtilities::eGaussLobattoLegendre
@ eGaussLobattoLegendre
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:53
Nektar::LibUtilities::eModified_A
@ eModified_A
Principle Modified Functions .
Definition: BasisType.h:50
Nektar::LocalRegions::HexExpSharedPtr
std::shared_ptr< HexExp > HexExpSharedPtr
Definition: HexExp.h:260
Nektar::SpatialDomains::QuadGeomSharedPtr
std::shared_ptr< QuadGeom > QuadGeomSharedPtr
Definition: HexGeom.h:47
Nektar::SpatialDomains::HexGeomSharedPtr
std::shared_ptr< HexGeom > HexGeomSharedPtr
Definition: HexGeom.h:87
Nektar::SpatialDomains::SegGeomSharedPtr
std::shared_ptr< SegGeom > SegGeomSharedPtr
Definition: Geometry2D.h:62
Nektar::SpatialDomains::PointGeomSharedPtr
std::shared_ptr< PointGeom > PointGeomSharedPtr
Definition: Geometry.h:60
Nektar
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Definition: CoupledSolver.h:2
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