int test_string_cast_vector()
{
int Error = 0;
glm::vec2 A1(1, 2);
std::string A2 = glm::to_string(A1);
Error += A2 != std::string("fvec2(1.000000, 2.000000)") ? 1 : 0;
glm::vec3 B1(1, 2, 3);
std::string B2 = glm::to_string(B1);
Error += B2 != std::string("fvec3(1.000000, 2.000000, 3.000000)") ? 1 : 0;
glm::vec4 C1(1, 2, 3, 4);
std::string C2 = glm::to_string(C1);
Error += C2 != std::string("fvec4(1.000000, 2.000000, 3.000000, 4.000000)") ? 1 : 0;
glm::ivec2 D1(1, 2);
std::string D2 = glm::to_string(D1);
Error += D2 != std::string("ivec2(1, 2)") ? 1 : 0;
glm::ivec3 E1(1, 2, 3);
std::string E2 = glm::to_string(E1);
Error += E2 != std::string("ivec3(1, 2, 3)") ? 1 : 0;
glm::ivec4 F1(1, 2, 3, 4);
std::string F2 = glm::to_string(F1);
Error += F2 != std::string("ivec4(1, 2, 3, 4)") ? 1 : 0;
glm::dvec2 J1(1, 2);
std::string J2 = glm::to_string(J1);
Error += J2 != std::string("dvec2(1.000000, 2.000000)") ? 1 : 0;
glm::dvec3 K1(1, 2, 3);
std::string K2 = glm::to_string(K1);
Error += K2 != std::string("dvec3(1.000000, 2.000000, 3.000000)") ? 1 : 0;
glm::dvec4 L1(1, 2, 3, 4);
std::string L2 = glm::to_string(L1);
Error += L2 != std::string("dvec4(1.000000, 2.000000, 3.000000, 4.000000)") ? 1 : 0;
return Error;
}
double rspfBesselOrderOneFilter::filter(double x, double /* support */)const
{
double
p,
q;
if (x == 0.0)
return(0.0);
p=x;
if (x < 0.0)
x=(-x);
if (x < 8.0)
return(p*J1(x));
q=sqrt(2.0/(M_PI*x))*(P1(x)*(1.0/sqrt(2.0)*(sin(x)-cos(x)))-8.0/x*Q1(x)*
(-1.0/sqrt(2.0)*(sin(x)+cos(x))));
if (p < 0.0)
q=(-q);
return(q);
}
/*** contributions from the mirror image H0 ***/
static double
strikexH0 (MagComp component, const fault_params *fault, const magnetic_params *mag, double xi, double et, double qq, double y, double z)
{
double val;
double h = mag->dcurier;
double qd = y * sd + (fault->fdepth - h) * cd;
double K1_val = K1 (component, 1.0, xi, et, qq);
double atan_xe_qr_val = atan_xe_qr (component, 1.0, xi, et, qq);
double J1_val = J1 (component, 1.0, xi, et, qq);
double M1_val = M1 (component, 1.0, xi, et, qq);
double L1_val = L1 (component, 1.0, xi, et, qq);
double M1y_val = M1y (component, 1.0, xi, et, qq);
double M1z_val = M1z (component, 1.0, xi, et, qq);
val = - (2.0 - alpha4) * K1_val
- alpha1 * atan_xe_qr_val - alpha3 * J1_val
- alpha3 * (qd * M1_val + (z - h) * L1_val * sd)
- 2.0 * alpha4 * h * (M1_val * cd - L1_val * sd)
- 4.0 * alpha1 * h * L1_val * sd
+ 2.0 * alpha2 * h * ((qd + h * cd) * M1z_val - (z - 2.0 * h) * M1y_val * sd);
return val;
}
int test_string_cast_vector()
{
int Error = 0;
{
glm::vec2 A1(1, 2);
std::string A2 = glm::to_string(A1);
Error += A2 != std::string("vec2(1.000000, 2.000000)") ? 1 : 0;
glm::vec3 B1(1, 2, 3);
std::string B2 = glm::to_string(B1);
Error += B2 != std::string("vec3(1.000000, 2.000000, 3.000000)") ? 1 : 0;
glm::vec4 C1(1, 2, 3, 4);
std::string C2 = glm::to_string(C1);
Error += C2 != std::string("vec4(1.000000, 2.000000, 3.000000, 4.000000)") ? 1 : 0;
glm::dvec2 J1(1, 2);
std::string J2 = glm::to_string(J1);
Error += J2 != std::string("dvec2(1.000000, 2.000000)") ? 1 : 0;
glm::dvec3 K1(1, 2, 3);
std::string K2 = glm::to_string(K1);
Error += K2 != std::string("dvec3(1.000000, 2.000000, 3.000000)") ? 1 : 0;
glm::dvec4 L1(1, 2, 3, 4);
std::string L2 = glm::to_string(L1);
Error += L2 != std::string("dvec4(1.000000, 2.000000, 3.000000, 4.000000)") ? 1 : 0;
}
{
glm::bvec2 M1(false, true);
std::string M2 = glm::to_string(M1);
Error += M2 != std::string("bvec2(false, true)") ? 1 : 0;
glm::bvec3 O1(false, true, false);
std::string O2 = glm::to_string(O1);
Error += O2 != std::string("bvec3(false, true, false)") ? 1 : 0;
glm::bvec4 P1(false, true, false, true);
std::string P2 = glm::to_string(P1);
Error += P2 != std::string("bvec4(false, true, false, true)") ? 1 : 0;
}
{
glm::ivec2 D1(1, 2);
std::string D2 = glm::to_string(D1);
Error += D2 != std::string("ivec2(1, 2)") ? 1 : 0;
glm::ivec3 E1(1, 2, 3);
std::string E2 = glm::to_string(E1);
Error += E2 != std::string("ivec3(1, 2, 3)") ? 1 : 0;
glm::ivec4 F1(1, 2, 3, 4);
std::string F2 = glm::to_string(F1);
Error += F2 != std::string("ivec4(1, 2, 3, 4)") ? 1 : 0;
}
{
glm::i8vec2 D1(1, 2);
std::string D2 = glm::to_string(D1);
Error += D2 != std::string("i8vec2(1, 2)") ? 1 : 0;
glm::i8vec3 E1(1, 2, 3);
std::string E2 = glm::to_string(E1);
Error += E2 != std::string("i8vec3(1, 2, 3)") ? 1 : 0;
glm::i8vec4 F1(1, 2, 3, 4);
std::string F2 = glm::to_string(F1);
Error += F2 != std::string("i8vec4(1, 2, 3, 4)") ? 1 : 0;
}
{
glm::i16vec2 D1(1, 2);
std::string D2 = glm::to_string(D1);
Error += D2 != std::string("i16vec2(1, 2)") ? 1 : 0;
glm::i16vec3 E1(1, 2, 3);
std::string E2 = glm::to_string(E1);
Error += E2 != std::string("i16vec3(1, 2, 3)") ? 1 : 0;
glm::i16vec4 F1(1, 2, 3, 4);
std::string F2 = glm::to_string(F1);
Error += F2 != std::string("i16vec4(1, 2, 3, 4)") ? 1 : 0;
}
{
glm::i64vec2 D1(1, 2);
std::string D2 = glm::to_string(D1);
Error += D2 != std::string("i64vec2(1, 2)") ? 1 : 0;
glm::i64vec3 E1(1, 2, 3);
std::string E2 = glm::to_string(E1);
Error += E2 != std::string("i64vec3(1, 2, 3)") ? 1 : 0;
glm::i64vec4 F1(1, 2, 3, 4);
std::string F2 = glm::to_string(F1);
Error += F2 != std::string("i64vec4(1, 2, 3, 4)") ? 1 : 0;
}
return Error;
}
void Foam::kineticTheoryModel::solve(const volTensorField& gradUat)
{
if (!kineticTheory_)
{
return;
}
const scalar sqrtPi = sqrt(constant::mathematical::pi);
surfaceScalarField phi(1.5*rhoa_*phia_*fvc::interpolate(alpha_));
volTensorField dU(gradUat.T()); //fvc::grad(Ua_);
volSymmTensorField D(symm(dU));
// NB, drag = K*alpha*beta,
// (the alpha and beta has been extracted from the drag function for
// numerical reasons)
volScalarField Ur(mag(Ua_ - Ub_));
volScalarField betaPrim(alpha_*(1.0 - alpha_)*draga_.K(Ur));
// Calculating the radial distribution function (solid volume fraction is
// limited close to the packing limit, but this needs improvements)
// The solution is higly unstable close to the packing limit.
gs0_ = radialModel_->g0
(
min(max(alpha_, scalar(1e-6)), alphaMax_ - 0.01),
alphaMax_
);
// particle pressure - coefficient in front of Theta (Eq. 3.22, p. 45)
volScalarField PsCoeff
(
granularPressureModel_->granularPressureCoeff
(
alpha_,
gs0_,
rhoa_,
e_
)
);
// 'thermal' conductivity (Table 3.3, p. 49)
kappa_ = conductivityModel_->kappa(alpha_, Theta_, gs0_, rhoa_, da_, e_);
// particle viscosity (Table 3.2, p.47)
mua_ = viscosityModel_->mua(alpha_, Theta_, gs0_, rhoa_, da_, e_);
dimensionedScalar Tsmall
(
"small",
dimensionSet(0 , 2 ,-2 ,0 , 0, 0, 0),
1.0e-6
);
dimensionedScalar TsmallSqrt = sqrt(Tsmall);
volScalarField ThetaSqrt(sqrt(Theta_));
// dissipation (Eq. 3.24, p.50)
volScalarField gammaCoeff
(
12.0*(1.0 - sqr(e_))*sqr(alpha_)*rhoa_*gs0_*(1.0/da_)*ThetaSqrt/sqrtPi
);
// Eq. 3.25, p. 50 Js = J1 - J2
volScalarField J1(3.0*betaPrim);
volScalarField J2
(
0.25*sqr(betaPrim)*da_*sqr(Ur)
/(max(alpha_, scalar(1e-6))*rhoa_*sqrtPi*(ThetaSqrt + TsmallSqrt))
);
// bulk viscosity p. 45 (Lun et al. 1984).
lambda_ = (4.0/3.0)*sqr(alpha_)*rhoa_*da_*gs0_*(1.0+e_)*ThetaSqrt/sqrtPi;
// stress tensor, Definitions, Table 3.1, p. 43
volSymmTensorField tau(2.0*mua_*D + (lambda_ - (2.0/3.0)*mua_)*tr(D)*I);
if (!equilibrium_)
{
// construct the granular temperature equation (Eq. 3.20, p. 44)
// NB. note that there are two typos in Eq. 3.20
// no grad infront of Ps
// wrong sign infront of laplacian
fvScalarMatrix ThetaEqn
(
fvm::ddt(1.5*alpha_*rhoa_, Theta_)
+ fvm::div(phi, Theta_, "div(phi,Theta)")
==
fvm::SuSp(-((PsCoeff*I) && dU), Theta_)
+ (tau && dU)
+ fvm::laplacian(kappa_, Theta_, "laplacian(kappa,Theta)")
+ fvm::Sp(-gammaCoeff, Theta_)
+ fvm::Sp(-J1, Theta_)
+ fvm::Sp(J2/(Theta_ + Tsmall), Theta_)
);
ThetaEqn.relax();
ThetaEqn.solve();
}
else
{
// equilibrium => dissipation == production
// Eq. 4.14, p.82
volScalarField K1(2.0*(1.0 + e_)*rhoa_*gs0_);
volScalarField K3
(
0.5*da_*rhoa_*
(
(sqrtPi/(3.0*(3.0-e_)))
*(1.0 + 0.4*(1.0 + e_)*(3.0*e_ - 1.0)*alpha_*gs0_)
+1.6*alpha_*gs0_*(1.0 + e_)/sqrtPi
)
);
volScalarField K2
(
4.0*da_*rhoa_*(1.0 + e_)*alpha_*gs0_/(3.0*sqrtPi) - 2.0*K3/3.0
);
volScalarField K4(12.0*(1.0 - sqr(e_))*rhoa_*gs0_/(da_*sqrtPi));
volScalarField trD(tr(D));
volScalarField tr2D(sqr(trD));
volScalarField trD2(tr(D & D));
volScalarField t1(K1*alpha_ + rhoa_);
volScalarField l1(-t1*trD);
volScalarField l2(sqr(t1)*tr2D);
volScalarField l3
(
4.0
*K4
*max(alpha_, scalar(1e-6))
*(2.0*K3*trD2 + K2*tr2D)
);
Theta_ = sqr((l1 + sqrt(l2 + l3))/(2.0*(alpha_ + 1.0e-4)*K4));
}
Theta_.max(1.0e-15);
Theta_.min(1.0e+3);
volScalarField pf
(
frictionalStressModel_->frictionalPressure
(
alpha_,
alphaMinFriction_,
alphaMax_,
Fr_,
eta_,
p_
)
);
PsCoeff += pf/(Theta_+Tsmall);
PsCoeff.min(1.0e+10);
PsCoeff.max(-1.0e+10);
// update particle pressure
pa_ = PsCoeff*Theta_;
// frictional shear stress, Eq. 3.30, p. 52
volScalarField muf
(
frictionalStressModel_->muf
(
alpha_,
alphaMax_,
pf,
D,
phi_
)
);
// add frictional stress
mua_ += muf;
mua_.min(1.0e+2);
mua_.max(0.0);
Info<< "kinTheory: max(Theta) = " << max(Theta_).value() << endl;
volScalarField ktn(mua_/rhoa_);
Info<< "kinTheory: min(nua) = " << min(ktn).value()
<< ", max(nua) = " << max(ktn).value() << endl;
Info<< "kinTheory: min(pa) = " << min(pa_).value()
<< ", max(pa) = " << max(pa_).value() << endl;
}