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SkewSymmetricAdvection.cpp
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3 // File SkewSymmetricAdvection.cpp
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31 //
32 // Description: Evaluation of the Navier Stokes advective term
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
36 #include <IncNavierStokesSolver/AdvectionTerms/SkewSymmetricAdvection.h>
37 
38 namespace Nektar
39 {
40 string SkewSymmetricAdvection::className
41  = SolverUtils::GetAdvectionFactory().RegisterCreatorFunction(
42  "SkewSymmetric",
43  SkewSymmetricAdvection::create);
44 
45 /**
46  *
47  */
48 SkewSymmetricAdvection::SkewSymmetricAdvection():
49  Advection()
50 
51 {
52 }
53 
54 
55 /**
56  *
57  */
58 SkewSymmetricAdvection::~SkewSymmetricAdvection()
59 {
60 }
61 
62 
63 /**
64  *
65  */
66 void SkewSymmetricAdvection::v_InitObject(
67  LibUtilities::SessionReaderSharedPtr pSession,
68  Array<OneD, MultiRegions::ExpListSharedPtr> pFields)
69 {
70  Advection::v_InitObject(pSession, pFields);
71 
72  m_CoeffState = MultiRegions::eLocal;
73  m_homogen_dealiasing = pSession->DefinesSolverInfo("dealiasing");
74  pSession->MatchSolverInfo("ModeType","SingleMode",m_SingleMode,false);
75  pSession->MatchSolverInfo("ModeType","HalfMode",m_HalfMode,false);
76 }
77 
78 
79 /**
80  *
81  */
82 void SkewSymmetricAdvection::v_Advect(
83  const int nConvectiveFields,
84  const Array<OneD, MultiRegions::ExpListSharedPtr> &fields,
85  const Array<OneD, Array<OneD, NekDouble> > &advVel,
86  const Array<OneD, Array<OneD, NekDouble> > &inarray,
87  Array<OneD, Array<OneD, NekDouble> > &outarray,
88  const NekDouble &time)
89 {
90  int nqtot = fields[0]->GetTotPoints();
91  ASSERTL1(nConvectiveFields == inarray.num_elements(),"Number of convective fields and Inarray are not compatible");
92 
93  Array<OneD, NekDouble > Deriv = Array<OneD, NekDouble> (nqtot*nConvectiveFields);
94 
95  for(int n = 0; n < nConvectiveFields; ++n)
96  {
97  // use dimension of Velocity vector to dictate dimension of operation
98  int ndim = advVel.num_elements();
99 
100  // ToDo: here we should add a check that V has right dimension
101 
102  int nPointsTot = fields[0]->GetNpoints();
103  Array<OneD, NekDouble> gradV0,gradV1,gradV2, tmp, Up;
104 
105  gradV0 = Array<OneD, NekDouble> (nPointsTot);
106  tmp = Array<OneD, NekDouble> (nPointsTot);
107 
108  // Evaluate V\cdot Grad(u)
109  switch(ndim)
110  {
111  case 1:
112  fields[0]->PhysDeriv(inarray[n],gradV0);
113  Vmath::Vmul(nPointsTot,gradV0,1,advVel[0],1,outarray[n],1);
114  Vmath::Vmul(nPointsTot,inarray[n],1,advVel[0],1,gradV0,1);
115  fields[0]->PhysDeriv(gradV0,tmp);
116  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
117  Vmath::Smul(nPointsTot,0.5,outarray[n],1,outarray[n],1);
118  break;
119  case 2:
120  gradV1 = Array<OneD, NekDouble> (nPointsTot);
121  fields[0]->PhysDeriv(inarray[n],gradV0,gradV1);
122  Vmath::Vmul (nPointsTot,gradV0,1,advVel[0],1,outarray[n],1);
123  Vmath::Vvtvp(nPointsTot,gradV1,1,advVel[1],1,outarray[n],1,outarray[n],1);
124  Vmath::Vmul(nPointsTot,inarray[n],1,advVel[0],1,gradV0,1);
125  Vmath::Vmul(nPointsTot,inarray[n],1,advVel[1],1,gradV1,1);
126  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[0],gradV0,tmp);
127  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
128  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[1],gradV1,tmp);
129  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
130  Vmath::Smul(nPointsTot,0.5,outarray[n],1,outarray[n],1);
131  break;
132  case 3:
133  gradV1 = Array<OneD, NekDouble> (nPointsTot);
134  gradV2 = Array<OneD, NekDouble> (nPointsTot);
135 
136  fields[0]->PhysDeriv(inarray[n],gradV0,gradV1,gradV2);
137 
138  //outarray[n] = 1/2(u*du/dx + v*du/dy + w*du/dz + duu/dx + duv/dy + duw/dz)
139 
140  if(m_homogen_dealiasing == true && fields[0]->GetWaveSpace() == false)
141  {
142  fields[0]->DealiasedProd(advVel[0],gradV0,gradV0,m_CoeffState);
143  fields[0]->DealiasedProd(advVel[1],gradV1,gradV1,m_CoeffState);
144  fields[0]->DealiasedProd(advVel[2],gradV2,gradV2,m_CoeffState);
145  Vmath::Vadd(nPointsTot,gradV0,1,gradV1,1,outarray[n],1);
146  Vmath::Vadd(nPointsTot,gradV2,1,outarray[n],1,outarray[n],1);
147  fields[0]->DealiasedProd(inarray[n],advVel[0],gradV0,m_CoeffState);
148  fields[0]->DealiasedProd(inarray[n],advVel[1],gradV1,m_CoeffState);
149  fields[0]->DealiasedProd(inarray[n],advVel[2],gradV2,m_CoeffState);
150  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[0],gradV0,tmp);
151  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
152  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[1],gradV1,tmp);
153  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
154  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],gradV2,tmp);
155  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
156  Vmath::Smul(nPointsTot,0.5,outarray[n],1,outarray[n],1);
157  }
158  else if(fields[0]->GetWaveSpace() == true && m_homogen_dealiasing == false)
159  {
160  Up = Array<OneD, NekDouble> (nPointsTot);
161  //vector reused to avoid even more memory requirements
162  //names may be misleading
163  fields[0]->HomogeneousBwdTrans(gradV0,tmp);
164  Vmath::Vmul(nPointsTot,tmp,1,advVel[0],1,outarray[n],1); // + u*du/dx
165  fields[0]->HomogeneousBwdTrans(gradV1,tmp);
166  Vmath::Vvtvp(nPointsTot,tmp,1,advVel[1],1,outarray[n],1,outarray[n],1);// + v*du/dy
167  fields[0]->HomogeneousBwdTrans(gradV2,tmp);
168  Vmath::Vvtvp(nPointsTot,tmp,1,advVel[2],1,outarray[n],1,outarray[n],1);// + w*du/dz
169 
170  fields[0]->HomogeneousBwdTrans(inarray[n],Up);
171  Vmath::Vmul(nPointsTot,Up,1,advVel[0],1,gradV0,1);
172  Vmath::Vmul(nPointsTot,Up,1,advVel[1],1,gradV1,1);
173  Vmath::Vmul(nPointsTot,Up,1,advVel[2],1,gradV2,1);
174 
175  fields[0]->SetWaveSpace(false);
176  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[0],gradV0,tmp);//duu/dx
177  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
178  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[1],gradV1,tmp);//duv/dy
179  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
180  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],gradV2,tmp);//duw/dz
181  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
182  fields[0]->SetWaveSpace(true);
183 
184  Vmath::Smul(nPointsTot,0.5,outarray[n],1,tmp,1);
185  fields[0]->HomogeneousFwdTrans(tmp,outarray[n]);
186  }
187  else if(fields[0]->GetWaveSpace() == false && m_homogen_dealiasing == false)
188  {
189  Vmath::Vmul(nPointsTot,gradV0,1,advVel[0],1,outarray[n],1);
190  Vmath::Vvtvp(nPointsTot,gradV1,1,advVel[1],1,outarray[n],1,outarray[n],1);
191  Vmath::Vvtvp(nPointsTot,gradV2,1,advVel[2],1,outarray[n],1,outarray[n],1);
192  Vmath::Vmul(nPointsTot,inarray[n],1,advVel[0],1,gradV0,1);
193  Vmath::Vmul(nPointsTot,inarray[n],1,advVel[1],1,gradV1,1);
194  Vmath::Vmul(nPointsTot,inarray[n],1,advVel[2],1,gradV2,1);
195  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[0],gradV0,tmp);
196  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
197  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[1],gradV1,tmp);
198  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
199  fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],gradV2,tmp);
200  Vmath::Vadd(nPointsTot,tmp,1,outarray[n],1,outarray[n],1);
201  Vmath::Smul(nPointsTot,0.5,outarray[n],1,outarray[n],1);
202  }
203  else
204  {
205  ASSERTL0(false, "Dealiasing is not allowed in combination "
206  "with the Skew-Symmetric advection form for "
207  "efficiency reasons.");
208  }
209  break;
210  default:
211  ASSERTL0(false,"dimension unknown");
212  }
213 
214  Vmath::Neg(nqtot,outarray[n],1);
215  }
216 
217 }
218 
219 } //end of namespace
220 
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