FiniteVolumeEquation<Vector2D> laplacian(const ScalarFiniteVolumeField &gamma,
VectorFiniteVolumeField &phi,
Scalar theta)
{
FiniteVolumeEquation<Vector2D> eqn(phi);
const ScalarFiniteVolumeField &gamma0 = gamma.oldField(0);
const VectorFiniteVolumeField &phi0 = phi.oldField(0);
for (const Cell &cell: phi.cells())
{
for (const InteriorLink &nb: cell.neighbours())
{
Scalar coeff = gamma(nb.face()) * dot(nb.rCellVec(), nb.outwardNorm()) / nb.rCellVec().magSqr();
Scalar coeff0 = gamma0(nb.face()) * dot(nb.rCellVec(), nb.outwardNorm()) / nb.rCellVec().magSqr();
eqn.add(cell, cell, theta * -coeff);
eqn.add(cell, nb.cell(), theta * coeff);
eqn.addSource(cell, (1. - theta) * coeff0 * (phi0(nb.cell()) - phi0(cell)));
}
for (const BoundaryLink &bd: cell.boundaries())
{
Scalar coeff = gamma(bd.face()) * dot(bd.rFaceVec(), bd.outwardNorm()) / bd.rFaceVec().magSqr();
Scalar coeff0 = gamma0(bd.face()) * dot(bd.rFaceVec(), bd.outwardNorm()) / bd.rFaceVec().magSqr();
switch (phi.boundaryType(bd.face()))
{
case VectorFiniteVolumeField::FIXED:
eqn.add(cell, cell, theta * -coeff);
eqn.addSource(cell, theta * coeff * phi(bd.face()));
eqn.addSource(cell, (1. - theta) * coeff0 * (phi0(bd.face()) - phi0(cell)));
break;
case VectorFiniteVolumeField::NORMAL_GRADIENT:
break;
case VectorFiniteVolumeField::SYMMETRY:
{
Vector2D tw = bd.outwardNorm().tangentVec().unitVec();
eqn.add(cell, cell, theta * -coeff);
eqn.add(cell, cell, theta * coeff * outer(tw, tw));
eqn.addSource(cell, (1. - theta) * coeff0 * (dot(phi0(cell), tw) * tw - phi0(cell)));
}
break;
default:
throw Exception("fv", "laplacian<Vector2D>", "unrecognized or unspecified boundary type.");
}
}
}
return eqn;
}
/* set v-node state */
void SetVnSt( v_node *v_nodes, c_node * c_nodes,
int CodeLength, double *col_one,
int NumberCodeBits, double *input_decoder_c)
{
int i, j;
int c_index;
for (i=0;i<CodeLength;i++) {
*v_nodes[i].initial_value = input_decoder_c[i];
for (j=0;j< *v_nodes[i].degree;j++) {
v_nodes[i].index[j]=(int) (col_one[i+j*NumberCodeBits]);
for (c_index=0;c_index<*c_nodes[ v_nodes[i].index[j] ].degree;c_index++)
if ( c_nodes[ v_nodes[i].index[j] ].index[c_index] == i ) {
v_nodes[i].socket[j] = c_index;
break;
}
v_nodes[i].message[j] = phi0( fabs(input_decoder_c[i]) );
if (input_decoder_c[i] < 0)
v_nodes[i].sign[j] = 1;
else
v_nodes[i].sign[j] = 0;
}
}
}
//Hermite
void Hermite()
{
float passot=0.0001,tg,tc,cx,cy;
int i=1;
Derivata_x_rapp_incr();//calcola la derivata in x dei punti
Derivata_y_rapp_incr();//calcola la derivata in y dei punti
if(mod_der==1)//checkbox spuntato -> modifico il valore della derivata in un punto
{
dx[ip]=val_der_x;
dy[ip]=val_der_y;
}
for (tg=0;tg<=1;tg=tg+passot) //nell'intervallo [0,1] disegno punti variando 0.0001 ogni volta
{
//localizziamo l'intervallo iesimo [t(i),t(i+1)] a cui il valore del parametro tg appartiene
//all'inizio i=1,parto quindi dal primo intervallo...ogni volta che supero l'intervallo incremento la i,spostandomi quindi nell'intervallo successivo
if (tg>t[i+1])
i++;
// mappare il punto tg appartenente all'intervallo [t(i),t(i+1)] in un punto tcappello in [0,1]
tc=(tg-t[i])/(t[i+1]-t[i]);
// valutiamo le coordinate del punto sulla curva con le formule di interpolazione di hermite
cx=Punti[i].x*phi0(tc)+
dx[i]*phi1(tc)*(t[i+1]-t[i])+
Punti[i+1].x*psi0(tc)+
dx[i+1]*psi1(tc)*(t[i+1]-t[i]);
cy=Punti[i].y*phi0(tc)+
dy[i]*phi1(tc)*(t[i+1]-t[i])+
Punti[i+1].y*psi0(tc)+
dy[i+1]*psi1(tc)*(t[i+1]-t[i]);
//disegno il punto ottenuto sullo schermo
glBegin(GL_POINTS);
glVertex2f(cx,cy);
glEnd();
}
glFlush();
}
void Disegna_Funzioni_Base()
{
float fbasephi0[1000],fbasephi1[1000],fbasepsi0[1000],fbasepsi1[1000],tf,vt[1000];
int n_pti_val=900,i=1;
float passo=1.0/(n_pti_val-1);
for(tf=0;tf<=1;tf+=passo)
{
vt[i]=tf;
fbasephi0[i]=phi0(tf);
fbasephi1[i]=phi1(tf);
fbasepsi0[i]=psi0(tf);
fbasepsi1[i]=psi1(tf);
i++;
}
//definiamo le coordinate della finestra reale(sul mondo)
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(0.0, 1.0, -0.8, 1.0);
//il contenuto della finestra reale prima definita verrà mappato nella viewport sullo schermo che ha origine in (0,500),h 150 e largh 150
glViewport(0,500,150,150);
glColor3f(0.0,0.0,1.0);
glBegin(GL_POINTS);
for(i=1;i<=n_pti_val;i++)
glVertex2f(vt[i],fbasephi0[i]);
glEnd();
glColor3f(0.0,1.0,1.0);
glBegin(GL_POINTS);
for(i=1;i<=n_pti_val;i++)
glVertex2f(vt[i],fbasephi1[i]);
glEnd();
glColor3f(0.0,1.0,0.0);
glBegin(GL_POINTS);
for(i=1;i<=n_pti_val;i++)
glVertex2f(vt[i],fbasepsi0[i]);
glEnd();
glColor3f(1.0,0.0,0.0);
glBegin(GL_POINTS);
for(i=1;i<=n_pti_val;i++)
glVertex2f(vt[i],fbasepsi1[i]);
glEnd();
glFlush();
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(0.0, WINH, 0.0, WINH);
glViewport(0,0,WINH,WINH);
}
model_error_case()
: acc_(2)
, model_()
{
Eigen::VectorXd phi0(2), veps(2);
Eigen::MatrixXd phi1(2,2);
phi0 << 2, 3;
phi1 << .80, 0, 0, .64;
veps << 1.0, 0.25;
model_ = alps::alea::util::var1_model<double>(phi0, phi1, veps);
}
Vector7d manipulablityG(const Vector7d& phi, const double m0, const double ks) {
const double h = 0.0000001;
Vector7d tau;
Vector7d phi0;
Vector7d phi1;
for (unsigned int i = 0; i < 7; i++) {
phi0 = phi1 = phi;
phi0(i) -= h;
phi1(i) += h;
tau(i) = (manipulablityV(phi1, m0, ks) - manipulablityV(phi0, m0, ks))/(2.0*h);
}
return tau;
}
alps::alea::util::var1_model<double> get_test_model()
{
// Model setup
Eigen::VectorXd phi0(2), veps(2);
Eigen::MatrixXd phi1(2,2);
phi0 << 2, 3;
phi1 << .5, .25, .25, .3;
veps << 1.0, 0.25;
std::cerr << "PHI0=\n" << phi0
<< "\nPHI1=\n" << phi1
<< "\nVEPS=\n" << veps << "\n";
return alps::alea::util::var1_model<double>(phi0, phi1, veps);
}
Field<dim> lbfgs(
const Functional& F,
const Gradient& dF,
const Field<dim>& phi_start,
const unsigned int m,
const double eps
)
{
double cost_old = std::numeric_limits<double>::infinity();
double cost = F(phi_start);
Field<dim> phi0(phi_start);
DualField<dim> df0 = dF(phi_start);
const auto& discretization = phi0.get_discretization();
// Create vectors for storing the last few differences of the guesses,
// differences of the gradients, and the inverses of their inner products
std::vector<Field<dim>> s(m, Field<dim>(discretization));
std::vector<DualField<dim>> y(m, DualField<dim>(discretization));
std::vector<double> rho(m);
// As an initial guess, we will assume that the Hessian inverse is a
// multiple of the inverse of the mass matrix
double gamma = 1.0;
for (unsigned int k = 0; std::abs(cost_old - cost)/cost > eps; ++k) {
const Field<dim> p = -lbfgs_two_loop(df0, s, y, rho, gamma);
const Field<dim> phi1 = line_search(F, phi0, df0, p, eps);
const DualField<dim> df1 = dF(phi1);
s[0] = phi1 - phi0;
y[0] = df1 - df0;
const double cos_angle = inner_product(y[0], s[0]);
const double norm_y = norm(y[0]);
rho[0] = 1.0 / cos_angle;
gamma = cos_angle / (norm_y * norm_y);
std::rotate(s.begin(), s.begin() + 1, s.end());
std::rotate(y.begin(), y.begin() + 1, y.end());
std::rotate(rho.begin(), rho.begin() + 1, rho.end());
phi0 = phi1;
df0 = df1;
cost_old = cost;
cost = F(phi0);
}
return phi0;
}
TEST(var1_test, autocorr)
{
Eigen::VectorXd phi0(2), veps(2);
Eigen::MatrixXd phi1(2,2);
phi0 << 2, 3;
phi1 << .80, 0, 0, .64;
veps << 1.0, 0.25;
alps::alea::util::var1_model<double> model(phi0, phi1, veps);
std::cerr << "EXACT MEAN=" << model.mean().transpose() << "\n";
std::cerr << "EXACT TAU =" << model.ctau().diagonal().transpose() << "\n";
alps::alea::autocorr_acc<double> acc(2);
fill(model, acc, 400000);
alps::alea::autocorr_result<double> res = acc.finalize();
print_result(std::cerr, res);
// perform T2 test
alps::alea::t2_result t2 = alps::alea::test_mean(res, model.mean());
print_t2(std::cerr, t2);
ASSERT_GE(t2.pvalue(), 0.01);
}
TEST(var1_test, same)
{
Eigen::VectorXd phi0(2), veps_one(2), veps_two(2);
Eigen::MatrixXd phi1(2,2);
phi0 << 2, 3;
phi1 << .90, 0, 0, .30;
veps_one << 1.0, 0.25;
veps_two << 2.0, 3.25;
alps::alea::util::var1_model<double> model1(phi0, phi1, veps_one);
alps::alea::util::var1_model<double> model2(phi0, phi1, veps_two);
std::cerr << "EXACT MEAN=" << model1.mean().transpose() << "\n";
alps::alea::autocorr_acc<double> acc1(2), acc2(2);
fill(model1, acc1, 400000);
fill(model2, acc2, 400000);
alps::alea::autocorr_result<double> res1 = acc1.finalize();
print_result(std::cerr, res1);
alps::alea::autocorr_result<double> res2 = acc2.finalize();
print_result(std::cerr, res2);
// perform T2 test manually
alps::alea::var_result<double> diff = alps::alea::internal::pool_var(res1, res2);
print_result(std::cerr, diff);
alps::alea::t2_result t2 = alps::alea::t2_test(diff.mean(), diff.var(),
diff.observations(), 1, 1e-10);
print_t2(std::cerr, t2);
ASSERT_GE(t2.pvalue(), 0.01);
// Perform T2 test automatically
t2 = alps::alea::test_mean(res1, res2);
ASSERT_GE(t2.pvalue(), 0.01);
}
kinematicSingleLayer::kinematicSingleLayer
(
const word& modelType,
const fvMesh& mesh,
const dimensionedVector& g,
const word& regionType,
const bool readFields
)
:
surfaceFilmModel(modelType, mesh, g, regionType),
momentumPredictor_(solution().subDict("PISO").lookup("momentumPredictor")),
nOuterCorr_(solution().subDict("PISO").lookupOrDefault("nOuterCorr", 1)),
nCorr_(readLabel(solution().subDict("PISO").lookup("nCorr"))),
nNonOrthCorr_
(
readLabel(solution().subDict("PISO").lookup("nNonOrthCorr"))
),
cumulativeContErr_(0.0),
deltaSmall_("deltaSmall", dimLength, SMALL),
deltaCoLimit_(solution().lookupOrDefault("deltaCoLimit", 1e-4)),
rho_
(
IOobject
(
"rhof",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::AUTO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimDensity, 0.0),
zeroGradientFvPatchScalarField::typeName
),
mu_
(
IOobject
(
"muf",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::AUTO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimPressure*dimTime, 0.0),
zeroGradientFvPatchScalarField::typeName
),
sigma_
(
IOobject
(
"sigmaf",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::AUTO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimMass/sqr(dimTime), 0.0),
zeroGradientFvPatchScalarField::typeName
),
delta_
(
IOobject
(
"deltaf",
time().timeName(),
regionMesh(),
IOobject::MUST_READ,
IOobject::AUTO_WRITE
),
regionMesh()
),
alpha_
(
IOobject
(
"alpha",
time().timeName(),
regionMesh(),
IOobject::READ_IF_PRESENT,
IOobject::AUTO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimless, 0.0),
zeroGradientFvPatchScalarField::typeName
),
U_
(
IOobject
(
"Uf",
time().timeName(),
regionMesh(),
IOobject::MUST_READ,
IOobject::AUTO_WRITE
),
regionMesh()
),
Us_
(
IOobject
(
"Usf",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
U_,
zeroGradientFvPatchScalarField::typeName
),
Uw_
(
IOobject
(
"Uwf",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
U_,
zeroGradientFvPatchScalarField::typeName
),
deltaRho_
(
IOobject
(
delta_.name() + "*" + rho_.name(),
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", delta_.dimensions()*rho_.dimensions(), 0.0),
zeroGradientFvPatchScalarField::typeName
),
phi_
(
IOobject
(
"phi",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::AUTO_WRITE
),
regionMesh(),
dimensionedScalar("0", dimLength*dimMass/dimTime, 0.0)
),
primaryMassTrans_
(
IOobject
(
"primaryMassTrans",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimMass, 0.0),
zeroGradientFvPatchScalarField::typeName
),
cloudMassTrans_
(
IOobject
(
"cloudMassTrans",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimMass, 0.0),
zeroGradientFvPatchScalarField::typeName
),
cloudDiameterTrans_
(
IOobject
(
"cloudDiameterTrans",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimLength, -1.0),
zeroGradientFvPatchScalarField::typeName
),
USp_
(
IOobject
(
"USpf",
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedVector
(
"zero", dimMass*dimVelocity/dimArea/dimTime, Zero
),
this->mappedPushedFieldPatchTypes<vector>()
),
pSp_
(
IOobject
(
"pSpf",
time_.timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimPressure, 0.0),
this->mappedPushedFieldPatchTypes<scalar>()
),
rhoSp_
(
IOobject
(
"rhoSpf",
time_.timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimMass/dimTime/dimArea, 0.0),
this->mappedPushedFieldPatchTypes<scalar>()
),
USpPrimary_
(
IOobject
(
USp_.name(), // must have same name as USp_ to enable mapping
time().timeName(),
primaryMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
primaryMesh(),
dimensionedVector("zero", USp_.dimensions(), Zero)
),
pSpPrimary_
(
IOobject
(
pSp_.name(), // must have same name as pSp_ to enable mapping
time().timeName(),
primaryMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
primaryMesh(),
dimensionedScalar("zero", pSp_.dimensions(), 0.0)
),
rhoSpPrimary_
(
IOobject
(
rhoSp_.name(), // must have same name as rhoSp_ to enable mapping
time().timeName(),
primaryMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
primaryMesh(),
dimensionedScalar("zero", rhoSp_.dimensions(), 0.0)
),
UPrimary_
(
IOobject
(
"U", // must have same name as U to enable mapping
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedVector("zero", dimVelocity, Zero),
this->mappedFieldAndInternalPatchTypes<vector>()
),
pPrimary_
(
IOobject
(
"p", // must have same name as p to enable mapping
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimPressure, 0.0),
this->mappedFieldAndInternalPatchTypes<scalar>()
),
rhoPrimary_
(
IOobject
(
"rho", // must have same name as rho to enable mapping
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimDensity, 0.0),
this->mappedFieldAndInternalPatchTypes<scalar>()
),
muPrimary_
(
IOobject
(
"thermo:mu", // must have same name as mu to enable mapping
time().timeName(),
regionMesh(),
IOobject::NO_READ,
IOobject::NO_WRITE
),
regionMesh(),
dimensionedScalar("zero", dimPressure*dimTime, 0.0),
this->mappedFieldAndInternalPatchTypes<scalar>()
),
filmThermo_(filmThermoModel::New(*this, coeffs_)),
availableMass_(regionMesh().nCells(), 0.0),
injection_(*this, coeffs_),
transfer_(*this, coeffs_),
turbulence_(filmTurbulenceModel::New(*this, coeffs_)),
forces_(*this, coeffs_),
addedMassTotal_(0.0)
{
if (readFields)
{
transferPrimaryRegionThermoFields();
correctAlpha();
correctThermoFields();
deltaRho_ == delta_*rho_;
surfaceScalarField phi0
(
IOobject
(
"phi",
time().timeName(),
regionMesh(),
IOobject::READ_IF_PRESENT,
IOobject::AUTO_WRITE,
false
),
fvc::flux(deltaRho_*U_)
);
phi_ == phi0;
}
}