SpatialTensorI.H
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27 
28 #include "Identity.H"
29 
30 // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
31 
32 template<class Cmpt>
34 :
36 {}
37 
38 
39 template<class Cmpt>
41 (
42  const typename SpatialTensor::msType& ms
43 )
44 :
46 {}
47 
48 
49 template<class Cmpt>
51 (
52  const Tensor<Cmpt>& t00, const Tensor<Cmpt>& t01,
53  const Tensor<Cmpt>& t10, const Tensor<Cmpt>& t11
54 )
55 {
56  // Block (0, 0)
57  this->v_[0] = t00.xx(); this->v_[1] = t00.xy(); this->v_[2] = t00.xz();
58  this->v_[6] = t00.yx(); this->v_[7] = t00.yy(); this->v_[8] = t00.yz();
59  this->v_[12] = t00.zx(); this->v_[13] = t00.zy(); this->v_[14] = t00.zz();
60 
61  // Block (0, 1)
62  this->v_[3] = t01.xx(); this->v_[4] = t01.xy(); this->v_[5] = t01.xz();
63  this->v_[9] = t01.yx(); this->v_[10] = t01.yy(); this->v_[11] = t01.yz();
64  this->v_[15] = t01.zx(); this->v_[16] = t01.zy(); this->v_[17] = t01.zz();
65 
66  // Block (1, 0)
67  this->v_[18] = t10.xx(); this->v_[19] = t10.xy(); this->v_[20] = t10.xz();
68  this->v_[24] = t10.yx(); this->v_[25] = t10.yy(); this->v_[26] = t10.yz();
69  this->v_[30] = t10.zx(); this->v_[31] = t10.zy(); this->v_[32] = t10.zz();
70 
71  // Block (1, 1)
72  this->v_[21] = t11.xx(); this->v_[22] = t11.xy(); this->v_[23] = t11.xz();
73  this->v_[27] = t11.yx(); this->v_[28] = t11.yy(); this->v_[29] = t11.yz();
74  this->v_[33] = t11.zx(); this->v_[34] = t11.zy(); this->v_[35] = t11.zz();
75 }
76 
77 
78 template<class Cmpt>
80 (
81  const Cmpt& t00, const Cmpt& t01, const Cmpt& t02,
82  const Cmpt& t03, const Cmpt& t04, const Cmpt& t05,
83 
84  const Cmpt& t10, const Cmpt& t11, const Cmpt& t12,
85  const Cmpt& t13, const Cmpt& t14, const Cmpt& t15,
86 
87  const Cmpt& t20, const Cmpt& t21, const Cmpt& t22,
88  const Cmpt& t23, const Cmpt& t24, const Cmpt& t25,
89 
90  const Cmpt& t30, const Cmpt& t31, const Cmpt& t32,
91  const Cmpt& t33, const Cmpt& t34, const Cmpt& t35,
92 
93  const Cmpt& t40, const Cmpt& t41, const Cmpt& t42,
94  const Cmpt& t43, const Cmpt& t44, const Cmpt& t45,
95 
96  const Cmpt& t50, const Cmpt& t51, const Cmpt& t52,
97  const Cmpt& t53, const Cmpt& t54, const Cmpt& t55
98 )
99 {
100  // Row 0
101  this->v_[0] = t00; this->v_[1] = t01; this->v_[2] = t02;
102  this->v_[3] = t03; this->v_[4] = t04; this->v_[5] = t05;
103 
104  // Row 1
105  this->v_[6] = t10; this->v_[7] = t11; this->v_[8] = t12;
106  this->v_[9] = t13; this->v_[10] = t14; this->v_[11] = t15;
107 
108  // Row 2
109  this->v_[12] = t20; this->v_[13] = t21; this->v_[14] = t22;
110  this->v_[15] = t23; this->v_[16] = t24; this->v_[17] = t25;
111 
112  // Row 3
113  this->v_[18] = t30; this->v_[19] = t31; this->v_[20] = t32;
114  this->v_[21] = t33; this->v_[22] = t34; this->v_[23] = t35;
115 
116  // Row 4
117  this->v_[24] = t40; this->v_[25] = t41; this->v_[26] = t42;
118  this->v_[27] = t43; this->v_[28] = t44; this->v_[29] = t45;
119 
120  // Row 5
121  this->v_[30] = t50; this->v_[31] = t51; this->v_[32] = t52;
122  this->v_[33] = t53; this->v_[34] = t54; this->v_[35] = t55;
123 }
124 
125 
126 template<class Cmpt>
128 :
129  SpatialTensor::msType(is)
130 {}
131 
132 
133 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
134 
135 namespace Foam
136 {
137 
138 // * * * * * * * * * * * * * * * Global Operators * * * * * * * * * * * * * //
139 
140 //- Return the cross-product tensor
141 template<class Cmpt>
142 inline Foam::SpatialTensor<Cmpt> operator^
143 (
144  const SpatialVector<Cmpt>& v,
145  const Identity<Cmpt>&
146 )
147 {
148  return SpatialTensor<Cmpt>
149  (
150  0, -v.wz(), v.wy(), 0, 0, 0,
151  v.wz(), 0, -v.wx(), 0, 0, 0,
152  -v.wy(), v.wx(), 0, 0, 0, 0,
153  0, -v.lz(), v.ly(), 0, -v.wz(), v.wy(),
154  v.lz(), 0, -v.lx(), v.wz(), 0, -v.wx(),
155  -v.ly(), v.lx(), 0, -v.wy(), v.wx(), 0
156  );
157 }
158 
159 
160 //- Return the dual cross-product tensor
161 template<class Cmpt>
162 inline Foam::SpatialTensor<Cmpt> operator^
163 (
164  const SpatialVector<Cmpt>& f,
165  const typename Identity<Cmpt>::dual&
166 )
167 {
168  return SpatialTensor<Cmpt>
169  (
170  0, -f.wz(), f.wy(), 0, -f.lz(), f.ly(),
171  f.wz(), 0, -f.wx(), f.lz(), 0, -f.lx(),
172  -f.wy(), f.wx(), 0, -f.ly(), f.lx(), 0,
173  0, 0, 0, 0, -f.wz(), f.wy(),
174  0, 0, 0, f.wz(), 0, -f.wx(),
175  0, 0, 0, -f.wy(), f.wx(), 0
176  );
177 }
178 
179 
180 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
181 
182 } // End namespace Foam
183 
184 // ************************************************************************* //
Templated 3D spatial tensor derived from MatrixSpace used to represent transformations of spatial vec...
Definition: SpatialTensor.H:63
const Cmpt & yx() const noexcept
Definition: Tensor.H:196
An Istream is an abstract base class for all input systems (streams, files, token lists etc)...
Definition: Istream.H:57
const Cmpt & xy() const noexcept
Definition: Tensor.H:194
Templated matrix space.
Definition: MatrixSpace.H:54
const Cmpt & yz() const noexcept
Definition: Tensor.H:198
const Cmpt & xx() const noexcept
Definition: Tensor.H:193
const Cmpt & yy() const noexcept
Definition: Tensor.H:197
const Cmpt & zx() const noexcept
Definition: Tensor.H:199
Templated 3D spatial vector derived from VectorSpace used to represent the anglular and linear compon...
Definition: SpatialVector.H:61
labelList f(nPoints)
const Cmpt & zy() const noexcept
Definition: Tensor.H:200
const Cmpt & zz() const noexcept
Definition: Tensor.H:201
The identity type in the dual space.
Definition: Identity.H:60
A class representing the concept of 0 (zero) that can be used to avoid manipulating objects known to ...
Definition: zero.H:57
SpatialTensor()=default
Default Construct.
Templated identity and dual space identity tensors derived from SphericalTensor.
Definition: Identity.H:43
A templated (3 x 3) tensor of objects of <T> derived from MatrixSpace.
Definition: complexI.H:266
const Cmpt & xz() const noexcept
Definition: Tensor.H:195
Namespace for OpenFOAM.
static constexpr const zero Zero
Global zero (0)
Definition: zero.H:127