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Commit c2d824d2 authored by sgepner's avatar sgepner
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library/FieldUtils/ProcessModules/ProcessL2Criterion.cpp
View file @ c2d824d2
......@@ -43,185 +43,201 @@ using namespace std;
namespace Nektar
{
namespace FieldUtils
namespace FieldUtils
{
ModuleKey ProcessL2Criterion::className =
GetModuleFactory().RegisterCreatorFunction(
ModuleKey(eProcessModule, "L2Criterion"), ProcessL2Criterion::create,
"Computes Lambda 2 Criterion.");
ProcessL2Criterion::ProcessL2Criterion(FieldSharedPtr f) : ProcessModule(f)
{
}
ProcessL2Criterion::~ProcessL2Criterion()
{
}
/**
* @brief Calculates eigenvalues of a 3x3 Symmetric matrix.
*
* @param d1, d2, d3 - matrix diagonal entries at [0,0], [1,1] and [2,2]
* @param a - matrix value at [0,1] and [1,0]
* @param b - matrix value at [0,2] and [2,0]
* @param c - matrix value at [1,2] and [2,1]
* @param l1, l2, l3 the computed eigenvalues, ordered l3 >= l2 >= l1
*/
void MatSymEVals(NekDouble d1, NekDouble d2, NekDouble d3, NekDouble a,
NekDouble b, NekDouble c, NekDouble &l1, NekDouble &l2,
NekDouble &l3)
{
NekDouble p = a * a + b * b + c * c;
if (p == 0)
{
l1 = d1;
l2 = d2;
l3 = d3;
if (l1 > l3)
swap(l1, l3);
if (l1 > l2)
swap(l1, l2);
if (l2 > l3)
swap(l2, l3);
}
else
{
NekDouble q = (d1 + d2 + d3) / 3.0;
p = (d1 - q) * (d1 - q) + (d2 - q) * (d2 - q) + (d3 - q) * (d3 - q) +
2.0 * p;
p = sqrt(p / 6.0);
NekDouble r =
-0.5 *
(a * a * d3 - a * a * q - 2.0 * a * b * c + b * b * d2 - b * b * q +
c * c * d1 - c * c * q - d1 * d2 * d3 + d1 * d2 * q + d1 * d3 * q -
d1 * q * q + d2 * d3 * q - d2 * q * q - d3 * q * q + q * q * q) /
(p * p * p);
NekDouble phi = 0;
if (r <= -1)
phi = M_PI / 3.0;
else if (r >= 1)
phi = 0.0;
else
phi = acos(r) / 3.0;
// the eigenvalues satisfy eig3 >= eig2 >= eig1
l3 = q + 2.0 * p * cos(phi);
l1 = q + 2.0 * p * cos(phi + (2.0 * M_PI / 3.0));
// since trace(A) = eig1 + eig2 + eig3
l2 = 3.0 * q - l1 - l3;
}
}
ModuleKey ProcessL2Criterion::className =
GetModuleFactory().RegisterCreatorFunction(
ModuleKey(eProcessModule, "L2Criterion"),
ProcessL2Criterion::create,
"Computes Lambda 2 Criterion.");
void ProcessL2Criterion::Process(po::variables_map &vm)
{
auto nfields = m_f->m_variables.size();
// m_f->m_variables.push_back("L1");
m_f->m_variables.push_back("L2");
// m_f->m_variables.push_back("L3");
ProcessL2Criterion::ProcessL2Criterion(FieldSharedPtr f) : ProcessModule(f)
{
}
// Skip in case of empty partition
if (m_f->m_exp[0]->GetNumElmts() == 0)
{
return;
}
ProcessL2Criterion::~ProcessL2Criterion()
{
}
int i, s;
int expdim = m_f->m_graph->GetMeshDimension();
int spacedim = expdim + (m_f->m_numHomogeneousDir);
/**
* @brief Calculates eigenvalues of a 3x3 Symmetric matrix.
*
* @param d1, d2, d3 - matrix diagonal entries at [0,0], [1,1] and [2,2]
* @param a - matrix value at [0,1] and [1,0]
* @param b - matrix value at [0,2] and [2,0]
* @param c - matrix value at [1,2] and [2,1]
* @param l1, l2, l3 the computed eigenvalues, ordered l3 >= l2 >= l1
*/
void MatSymEVals(NekDouble d1, NekDouble d2, NekDouble d3,
NekDouble a, NekDouble b, NekDouble c,
NekDouble& l1, NekDouble& l2, NekDouble& l3)
ASSERTL0(
spacedim == 3,
"ProcessL2Criterion must be computed for a 3D (or quasi-3D) case.");
int npoints = m_f->m_exp[0]->GetNpoints();
Array<OneD, Array<OneD, NekDouble>> grad(spacedim * spacedim);
// Will store the Lambdas
NekDouble a00, a11, a22, a01, a02, a12;
NekDouble t1, t2, t3, t4, t5, t6, t7, t8, t10, t11, t13, t14, t15;
// Array<OneD, NekDouble> outfield1 (npoints);
NekDouble outfield1, outfield3;
Array<OneD, NekDouble> outfield2(npoints);
// Array<OneD, NekDouble> outfield3 (npoints);
int nstrips;
m_f->m_session->LoadParameter("Strip_Z", nstrips, 1);
for (i = 0; i < spacedim * spacedim; ++i)
{
grad[i] = Array<OneD, NekDouble>(npoints);
}
MultiRegions::ExpListSharedPtr Exp;
for (s = 0; s < nstrips; ++s) // homogeneous strip varient
{
for (i = 0; i < spacedim; ++i)
{
NekDouble p = a*a+b*b+c*c;
if(p == 0)
{
l1=d1; l2=d2; l3=d3;
if (l1 > l3)
swap(l1, l3);
if (l1 > l2)
swap(l1, l2);
if (l2 > l3)
swap(l2, l3);
} else {
NekDouble q = (d1 + d2 + d3)/3.0;
p = (d1 - q) * (d1 - q) + (d2 - q) * (d2 - q) + (d3 - q) * (d3 - q) + 2.0 * p;
p = sqrt(p / 6.0);
NekDouble r = -0.5 * (a * a * d3 - a * a * q - 2.0 * a * b * c + b * b * d2 - b * b * q + c * c * d1
- c * c * q - d1 * d2 * d3 + d1 * d2 * q + d1 * d3 * q - d1 * q * q + d2 * d3 * q
- d2 * q * q - d3 * q * q + q * q * q) / (p * p * p);
NekDouble phi = 0;
if (r <= -1)
phi = M_PI / 3.0;
else if (r >= 1)
phi = 0.0;
else
phi = acos(r) / 3.0;
// the eigenvalues satisfy eig3 >= eig2 >= eig1
l3 = q + 2.0 * p * cos(phi);
l1 = q + 2.0 * p * cos(phi + (2.0 * M_PI / 3.0));
// since trace(A) = eig1 + eig2 + eig3
l2 = 3.0 * q - l1 - l3;
}
m_f->m_exp[s * nfields + i]->PhysDeriv(
m_f->m_exp[s * nfields + i]->GetPhys(), grad[i * spacedim],
grad[i * spacedim + 1], grad[i * spacedim + 2]);
}
void ProcessL2Criterion::Process(po::variables_map &vm)
/*
* For each node calculate the S^2+W^2 tensor
* where S and W are the symmetric and the skew-symmetric
* parts of the velocity gradient tensor D=grad(u),
* S=0.5(D+transpose(D)) and W=0.5((D-transpose(D)))
*/
for (int j = 0; j < npoints; ++j)
{
auto nfields = m_f->m_variables.size();
//m_f->m_variables.push_back("L1");
m_f->m_variables.push_back("L2");
//m_f->m_variables.push_back("L3");
// Skip in case of empty partition
if (m_f->m_exp[0]->GetNumElmts() == 0)
{
return;
}
int i, s;
int expdim = m_f->m_graph->GetMeshDimension();
int spacedim = expdim + (m_f->m_numHomogeneousDir);
ASSERTL0(spacedim == 3,
"ProcessL2Criterion must be computed for a 3D (or quasi-3D) case.");
int npoints = m_f->m_exp[0]->GetNpoints();
Array<OneD, Array<OneD, NekDouble> > grad(spacedim * spacedim);
// Will store the Lambdas
NekDouble a00, a11, a22, a01, a02, a12;
NekDouble t1, t2, t3, t4, t5, t6, t7, t8, t10, t11, t13, t14, t15;
//Array<OneD, NekDouble> outfield1 (npoints);
NekDouble outfield1, outfield3;
Array<OneD, NekDouble> outfield2 (npoints);
//Array<OneD, NekDouble> outfield3 (npoints);
int nstrips;
m_f->m_session->LoadParameter("Strip_Z", nstrips, 1);
for (i = 0; i < spacedim * spacedim; ++i)
{
grad[i] = Array<OneD, NekDouble>(npoints);
}
MultiRegions::ExpListSharedPtr Exp;
for (s = 0; s < nstrips; ++s) // homogeneous strip varient
{
for (i = 0; i < spacedim; ++i)
{
m_f->m_exp[s * nfields + i]->PhysDeriv(
m_f->m_exp[s * nfields + i]->GetPhys(), grad[i * spacedim],
grad[i * spacedim + 1], grad[i * spacedim + 2]);
}
/*
* For each node calculate the S^2+W^2 tensor
* where S and W are the symmetric and the skew-symmetric
* parts of the velocity gradient tensor D=grad(u),
* S=0.5(D+transpose(D)) and W=0.5((D-transpose(D)))
*/
for(int j=0; j<npoints; ++j)
{
//diff(u,y) + diff(v,x);
t1 = grad[0 * spacedim + 1][j] + grad[1 * spacedim + 0][j];
//diff(u,z) + diff(w,x);
t2 = grad[0 * spacedim + 2][j] + grad[2 * spacedim + 0][j];
//diff(u,y) - diff(v,x);
t3 = grad[0 * spacedim + 1][j] - grad[1 * spacedim + 0][j];
//diff(u,z) - diff(w,x);
t4 = grad[0 * spacedim + 2][j] - grad[2 * spacedim + 0][j];
t5 = t2*t2;
t6 = t4*t4;
t7 = t3*t3;
t8 = t1*t1;
//diff(w,y) + diff(v,z);
t10 = grad[2 * spacedim + 1][j] + grad[1 * spacedim + 2][j];
//diff(w,y) - diff(v,z);
t11 = grad[2 * spacedim + 1][j] - grad[1 * spacedim + 2][j];
t13 = 0.25 * (t10 * t2 + t11 * t4) + 0.5 * t1 * (grad[0 * spacedim + 0][j]+grad[1 * spacedim + 1][j]);
t14 = 0.5 * t2 * (grad[0 * spacedim + 0][j]+grad[2 * spacedim + 2][j]) + 0.25 * (t1 * t10 - t11 * t3);
t15 = t10*t10;
t11 = t11*t11;
t1 = 0.5 * t10 * (grad[1 * spacedim + 1][j]+grad[2 * spacedim + 2][j]) - 0.25 * (-t1 * t2 + t3 * t4);
a00 = 0.25 * (t5 - t6 - t7 + t8) + grad[0 * spacedim + 0][j] * grad[0 * spacedim + 0][j];
a01 = t13;
a02 = t14;
a11 = 0.25 * (-t7 + t8 + t15 - t11) + grad[1 * spacedim + 1][j] * grad[1 * spacedim + 1][j];
a12 = t1;
a22 = 0.25 * (t5 - t6 + t15 - t11) + grad[2 * spacedim + 2][j] * grad[2 * spacedim + 2][j];
//Compute the eigenvalues of a symmetric 3x3 matrix
MatSymEVals(a00, a11, a22, a01, a02, a12,
outfield1, outfield2[j], outfield3);
}
Exp = m_f->AppendExpList(m_f->m_numHomogeneousDir);
Vmath::Vcopy(npoints, outfield2, 1, Exp->UpdatePhys(), 1);
Exp->FwdTrans_IterPerExp(outfield2, Exp->UpdateCoeffs());
auto it = m_f->m_exp.begin() + s * (nfields + 1) + nfields;
m_f->m_exp.insert(it, Exp);
/*Exp = m_f->AppendExpList(m_f->m_numHomogeneousDir);
Vmath::Vcopy(npoints, outfield2, 1, Exp->UpdatePhys(), 1);
Exp->FwdTrans_IterPerExp(outfield2, Exp->UpdateCoeffs());
it = m_f->m_exp.begin() + s * (nfields + 2) + nfields;
m_f->m_exp.insert(it, Exp);
Exp = m_f->AppendExpList(m_f->m_numHomogeneousDir);
Vmath::Vcopy(npoints, outfield3, 1, Exp->UpdatePhys(), 1);
Exp->FwdTrans_IterPerExp(outfield3, Exp->UpdateCoeffs());
it = m_f->m_exp.begin() + s * (nfields + 3) + nfields;
m_f->m_exp.insert(it, Exp);*/
}
// diff(u,y) + diff(v,x);
t1 = grad[0 * spacedim + 1][j] + grad[1 * spacedim + 0][j];
// diff(u,z) + diff(w,x);
t2 = grad[0 * spacedim + 2][j] + grad[2 * spacedim + 0][j];
// diff(u,y) - diff(v,x);
t3 = grad[0 * spacedim + 1][j] - grad[1 * spacedim + 0][j];
// diff(u,z) - diff(w,x);
t4 = grad[0 * spacedim + 2][j] - grad[2 * spacedim + 0][j];
t5 = t2 * t2;
t6 = t4 * t4;
t7 = t3 * t3;
t8 = t1 * t1;
// diff(w,y) + diff(v,z);
t10 = grad[2 * spacedim + 1][j] + grad[1 * spacedim + 2][j];
// diff(w,y) - diff(v,z);
t11 = grad[2 * spacedim + 1][j] - grad[1 * spacedim + 2][j];
t13 = 0.25 * (t10 * t2 + t11 * t4) +
0.5 * t1 *
(grad[0 * spacedim + 0][j] + grad[1 * spacedim + 1][j]);
t14 = 0.5 * t2 *
(grad[0 * spacedim + 0][j] + grad[2 * spacedim + 2][j]) +
0.25 * (t1 * t10 - t11 * t3);
t15 = t10 * t10;
t11 = t11 * t11;
t1 = 0.5 * t10 *
(grad[1 * spacedim + 1][j] + grad[2 * spacedim + 2][j]) -
0.25 * (-t1 * t2 + t3 * t4);
a00 = 0.25 * (t5 - t6 - t7 + t8) +
grad[0 * spacedim + 0][j] * grad[0 * spacedim + 0][j];
a01 = t13;
a02 = t14;
a11 = 0.25 * (-t7 + t8 + t15 - t11) +
grad[1 * spacedim + 1][j] * grad[1 * spacedim + 1][j];
a12 = t1;
a22 = 0.25 * (t5 - t6 + t15 - t11) +
grad[2 * spacedim + 2][j] * grad[2 * spacedim + 2][j];
// Compute the eigenvalues of a symmetric 3x3 matrix
MatSymEVals(a00, a11, a22, a01, a02, a12, outfield1, outfield2[j],
outfield3);
}
Exp = m_f->AppendExpList(m_f->m_numHomogeneousDir);
Vmath::Vcopy(npoints, outfield2, 1, Exp->UpdatePhys(), 1);
Exp->FwdTrans_IterPerExp(outfield2, Exp->UpdateCoeffs());
auto it = m_f->m_exp.begin() + s * (nfields + 1) + nfields;
m_f->m_exp.insert(it, Exp);
/*Exp = m_f->AppendExpList(m_f->m_numHomogeneousDir);
Vmath::Vcopy(npoints, outfield2, 1, Exp->UpdatePhys(), 1);
Exp->FwdTrans_IterPerExp(outfield2, Exp->UpdateCoeffs());
it = m_f->m_exp.begin() + s * (nfields + 2) + nfields;
m_f->m_exp.insert(it, Exp);
Exp = m_f->AppendExpList(m_f->m_numHomogeneousDir);
Vmath::Vcopy(npoints, outfield3, 1, Exp->UpdatePhys(), 1);
Exp->FwdTrans_IterPerExp(outfield3, Exp->UpdateCoeffs());
it = m_f->m_exp.begin() + s * (nfields + 3) + nfields;
m_f->m_exp.insert(it, Exp);*/
}
}
}
}
library/FieldUtils/ProcessModules/ProcessL2Criterion.h
View file @ c2d824d2
......@@ -40,45 +40,44 @@
namespace Nektar
{
namespace FieldUtils
{
namespace FieldUtils
{
/**
* @brief This processing module calculates the Lambda 2 Criterion and adds it
* as an extra-field to the output file.
*/
class ProcessL2Criterion : public ProcessModule
{
public:
/// Creates an instance of this class
static std::shared_ptr<Module> create(FieldSharedPtr f)
{
return MemoryManager<ProcessL2Criterion>::AllocateSharedPtr(f);
}
static ModuleKey className;
ProcessL2Criterion(FieldSharedPtr f);
virtual ~ProcessL2Criterion();
class ProcessL2Criterion : public ProcessModule
{
public:
/// Creates an instance of this class
static std::shared_ptr<Module> create(FieldSharedPtr f)
{
return MemoryManager<ProcessL2Criterion>::AllocateSharedPtr(f);
}
static ModuleKey className;
virtual void Process(po::variables_map &vm);
ProcessL2Criterion(FieldSharedPtr f);
virtual ~ProcessL2Criterion();
virtual std::string GetModuleName()
{
return "ProcessL2Criterion";
}
virtual void Process(po::variables_map &vm);
virtual std::string GetModuleDescription()
{
return "Calculating Lambda 2 Criterion";
}
virtual std::string GetModuleName()
{
return "ProcessL2Criterion";
}
virtual ModulePriority GetModulePriority()
{
return eModifyExp;
}
virtual std::string GetModuleDescription()
{
return "Calculating Lambda 2 Criterion";
}
};
virtual ModulePriority GetModulePriority()
{
return eModifyExp;
}
};
}
}
#endif
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