SpatialTensorI.H
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27 
28 #include "Identity.H"
29 
30 // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
31 
32 template<class Cmpt>
34 {}
35 
36 
37 template<class Cmpt>
39 :
41 {}
42 
43 
44 template<class Cmpt>
46 (
47  const typename SpatialTensor::msType& ms
48 )
49 :
51 {}
52 
53 
54 template<class Cmpt>
56 (
57  const Tensor<Cmpt>& t00, const Tensor<Cmpt>& t01,
58  const Tensor<Cmpt>& t10, const Tensor<Cmpt>& t11
59 )
60 {
61  // Block (0, 0)
62  this->v_[0] = t00.xx(); this->v_[1] = t00.xy(); this->v_[2] = t00.xz();
63  this->v_[6] = t00.yx(); this->v_[7] = t00.yy(); this->v_[8] = t00.yz();
64  this->v_[12] = t00.zx(); this->v_[13] = t00.zy(); this->v_[14] = t00.zz();
65 
66  // Block (0, 1)
67  this->v_[3] = t01.xx(); this->v_[4] = t01.xy(); this->v_[5] = t01.xz();
68  this->v_[9] = t01.yx(); this->v_[10] = t01.yy(); this->v_[11] = t01.yz();
69  this->v_[15] = t01.zx(); this->v_[16] = t01.zy(); this->v_[17] = t01.zz();
70 
71  // Block (1, 0)
72  this->v_[18] = t10.xx(); this->v_[19] = t10.xy(); this->v_[20] = t10.xz();
73  this->v_[24] = t10.yx(); this->v_[25] = t10.yy(); this->v_[26] = t10.yz();
74  this->v_[30] = t10.zx(); this->v_[31] = t10.zy(); this->v_[32] = t10.zz();
75 
76  // Block (1, 1)
77  this->v_[21] = t11.xx(); this->v_[22] = t11.xy(); this->v_[23] = t11.xz();
78  this->v_[27] = t11.yx(); this->v_[28] = t11.yy(); this->v_[29] = t11.yz();
79  this->v_[33] = t11.zx(); this->v_[34] = t11.zy(); this->v_[35] = t11.zz();
80 }
81 
82 
83 template<class Cmpt>
85 (
86  const Cmpt& t00, const Cmpt& t01, const Cmpt& t02,
87  const Cmpt& t03, const Cmpt& t04, const Cmpt& t05,
88 
89  const Cmpt& t10, const Cmpt& t11, const Cmpt& t12,
90  const Cmpt& t13, const Cmpt& t14, const Cmpt& t15,
91 
92  const Cmpt& t20, const Cmpt& t21, const Cmpt& t22,
93  const Cmpt& t23, const Cmpt& t24, const Cmpt& t25,
94 
95  const Cmpt& t30, const Cmpt& t31, const Cmpt& t32,
96  const Cmpt& t33, const Cmpt& t34, const Cmpt& t35,
97 
98  const Cmpt& t40, const Cmpt& t41, const Cmpt& t42,
99  const Cmpt& t43, const Cmpt& t44, const Cmpt& t45,
100 
101  const Cmpt& t50, const Cmpt& t51, const Cmpt& t52,
102  const Cmpt& t53, const Cmpt& t54, const Cmpt& t55
103 )
104 {
105  // Row 0
106  this->v_[0] = t00; this->v_[1] = t01; this->v_[2] = t02;
107  this->v_[3] = t03; this->v_[4] = t04; this->v_[5] = t05;
108 
109  // Row 1
110  this->v_[6] = t10; this->v_[7] = t11; this->v_[8] = t12;
111  this->v_[9] = t13; this->v_[10] = t14; this->v_[11] = t15;
112 
113  // Row 2
114  this->v_[12] = t20; this->v_[13] = t21; this->v_[14] = t22;
115  this->v_[15] = t23; this->v_[16] = t24; this->v_[17] = t25;
116 
117  // Row 3
118  this->v_[18] = t30; this->v_[19] = t31; this->v_[20] = t32;
119  this->v_[21] = t33; this->v_[22] = t34; this->v_[23] = t35;
120 
121  // Row 4
122  this->v_[24] = t40; this->v_[25] = t41; this->v_[26] = t42;
123  this->v_[27] = t43; this->v_[28] = t44; this->v_[29] = t45;
124 
125  // Row 5
126  this->v_[30] = t50; this->v_[31] = t51; this->v_[32] = t52;
127  this->v_[33] = t53; this->v_[34] = t54; this->v_[35] = t55;
128 }
129 
130 
131 template<class Cmpt>
133 :
134  SpatialTensor::msType(is)
135 {}
136 
137 
138 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
139 
140 namespace Foam
141 {
142 
143 // * * * * * * * * * * * * * * * Global Operators * * * * * * * * * * * * * //
144 
145 //- Return the cross-product tensor
146 template<class Cmpt>
147 inline Foam::SpatialTensor<Cmpt> operator^
148 (
149  const SpatialVector<Cmpt>& v,
150  const Identity<Cmpt>&
151 )
152 {
153  return SpatialTensor<Cmpt>
154  (
155  0, -v.wz(), v.wy(), 0, 0, 0,
156  v.wz(), 0, -v.wx(), 0, 0, 0,
157  -v.wy(), v.wx(), 0, 0, 0, 0,
158  0, -v.lz(), v.ly(), 0, -v.wz(), v.wy(),
159  v.lz(), 0, -v.lx(), v.wz(), 0, -v.wx(),
160  -v.ly(), v.lx(), 0, -v.wy(), v.wx(), 0
161  );
162 }
163 
164 
165 //- Return the dual cross-product tensor
166 template<class Cmpt>
167 inline Foam::SpatialTensor<Cmpt> operator^
168 (
169  const SpatialVector<Cmpt>& f,
170  const typename Identity<Cmpt>::dual&
171 )
172 {
173  return SpatialTensor<Cmpt>
174  (
175  0, -f.wz(), f.wy(), 0, -f.lz(), f.ly(),
176  f.wz(), 0, -f.wx(), f.lz(), 0, -f.lx(),
177  -f.wy(), f.wx(), 0, -f.ly(), f.lx(), 0,
178  0, 0, 0, 0, -f.wz(), f.wy(),
179  0, 0, 0, f.wz(), 0, -f.wx(),
180  0, 0, 0, -f.wy(), f.wx(), 0
181  );
182 }
183 
184 
185 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
186 
187 } // End namespace Foam
188 
189 // ************************************************************************* //
Foam::Tensor
A templated (3 x 3) tensor of objects of <T> derived from MatrixSpace.
Definition: complexI.H:275
Foam::Tensor::zx
const Cmpt & zx() const
Definition: TensorI.H:194
Foam::Identity::dual
The identity type in the dual space.
Definition: Identity.H:63
Foam::Zero
static constexpr const zero Zero
Global zero (0)
Definition: zero.H:131
Foam::Tensor::yx
const Cmpt & yx() const
Definition: TensorI.H:173
Foam::SpatialTensor
Templated 3D spatial tensor derived from MatrixSpace used to represent transformations of spatial vec...
Definition: SpatialTensor.H:67
Foam::SpatialVector::lx
const Cmpt & lx() const
Definition: SpatialVectorI.H:126
Foam::Tensor::xz
const Cmpt & xz() const
Definition: TensorI.H:166
Foam::SpatialVector::lz
const Cmpt & lz() const
Definition: SpatialVectorI.H:140
Foam::Tensor::yz
const Cmpt & yz() const
Definition: TensorI.H:187
Foam::MatrixSpace
Templated matrix space.
Definition: MatrixSpace.H:58
Foam::Tensor::zy
const Cmpt & zy() const
Definition: TensorI.H:201
Foam::SpatialVector::ly
const Cmpt & ly() const
Definition: SpatialVectorI.H:133
Foam::Identity
Templated identity and dual space identity tensors derived from SphericalTensor.
Definition: Identity.H:49
Foam::Tensor::yy
const Cmpt & yy() const
Definition: TensorI.H:180
Foam::SpatialTensor::SpatialTensor
SpatialTensor()
Construct null.
Definition: SpatialTensorI.H:33
Foam::Istream
An Istream is an abstract base class for all input systems (streams, files, token lists etc)....
Definition: Istream.H:61
Foam::Tensor::zz
const Cmpt & zz() const
Definition: TensorI.H:208
Foam::SpatialVector
Templated 3D spatial vector derived from VectorSpace used to represent the anglular and linear compon...
Definition: SpatialVector.H:65
Foam::SpatialVector::wy
const Cmpt & wy() const
Definition: SpatialVectorI.H:112
Foam::MatrixSpace< SpatialTensor< Cmpt >, Cmpt, 6, 6 >::msType
MatrixSpace< SpatialTensor< Cmpt >, Cmpt, Mrows, Ncols > msType
MatrixSpace type.
Definition: MatrixSpace.H:67
Foam::SpatialVector::wz
const Cmpt & wz() const
Definition: SpatialVectorI.H:119
Foam::SpatialVector::wx
const Cmpt & wx() const
Definition: SpatialVectorI.H:105
Foam::Tensor::xy
const Cmpt & xy() const
Definition: TensorI.H:159
Foam
Namespace for OpenFOAM.
Definition: atmBoundaryLayer.C:33
Identity.H
Foam::Tensor::xx
const Cmpt & xx() const
Definition: TensorI.H:152
f
labelList f(nPoints)
Foam::zero
A class representing the concept of 0 (zero) that can be used to avoid manipulating objects known to ...
Definition: zero.H:62