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/***********************************************/
/**
* @file kernelSingleLayer.cpp
*
* @brief Single layer density.
* @see Kernel
*
* @author Torsten Mayer-Guerr
* @date 2003-09-20
*
*/
/***********************************************/
#include "base/import.h"
#include "base/legendrePolynomial.h"
#include "files/fileMatrix.h"
#include "classes/gravityfield/gravityfield.h"
#include "classes/kernel/kernel.h"
#include "classes/kernel/kernelSingleLayer.h"
/***********************************************/
KernelSingleLayer::KernelSingleLayer(Config &config)
{
try
{
FileName loveNumberName;
readConfig(config, "inputfileLoadingLoveNumber", loveNumberName, Config::OPTIONAL, "{groopsDataDir}/loading/loadLoveNumbers_Gegout97.txt", "");
if(isCreateSchema(config)) return;
if(!loveNumberName.empty())
readFileMatrix(loveNumberName, kn);
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Vector KernelSingleLayer::coefficients(Vector3d const &q, UInt degree) const
{
try
{
if((degree==INFINITYDEGREE) && (kn.rows()>0))
degree = kn.rows()-1;
if(degree==INFINITYDEGREE)
throw(Exception("INFINITYDEGREE requested"));
Vector coeff(degree+1);
Double *cp = coeff.field();
Double factor = 4*PI*GRAVITATIONALCONSTANT*q.r();
for(UInt n=0; n<std::min(degree+1, kn.size()); n++)
*cp++ = factor * (1.+kn(n)) / (2.*n+1.);
for(UInt n=std::min(degree+1, kn.size()); n<=degree; n++)
*cp++ = factor / (2.*n+1.);
return coeff;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Vector KernelSingleLayer::inverseCoefficients(Vector3d const &p, UInt degree, Bool interior) const
{
try
{
if((degree==INFINITYDEGREE) && (kn.rows()>0))
degree = kn.rows()-1;
if(degree==INFINITYDEGREE)
throw(Exception("INFINITYDEGREE requested"));
if(interior)
throw(Exception("interior not implemented"));
Vector coeff(degree+1);
Double *cp = coeff.field();
Double factor = 1./(4.*PI*GRAVITATIONALCONSTANT*p.r());
for(UInt n=0; n<std::min(degree+1, kn.size()); n++)
*cp++ = factor * (2.*n+1.) / (1.+kn(n));
for(UInt n=std::min(degree+1, kn.size()); n<=degree; n++)
*cp++ = factor * (2.*n+1.);
return coeff;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Double KernelSingleLayer::kernel(Vector3d const &p, Vector3d const &q) const
{
try
{
Double K = 4*PI*GRAVITATIONALCONSTANT/(p-q).r();
// add love load numbers
if(kn.size())
{
Vector coeff(kn.rows());
Double *cp = coeff.field();
const Double factor = 4*PI*GRAVITATIONALCONSTANT/q.r();
for(UInt n=0; n<kn.rows(); n++)
*cp++ = factor*kn(n)/(2.*n+1.);
K += Kernel::kernel(p, q, coeff);
}
return K;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Double KernelSingleLayer::radialDerivative(Vector3d const &p, Vector3d const &q) const
{
try
{
const Double r = p.r();
const Double R = q.r();
const Double l = (p-q).r();
const Double cos_psi = (R*R+r*r-l*l)/(2*R*r);
Double dKdr = -4*PI*GRAVITATIONALCONSTANT/(l*l*l) * (r-R*cos_psi);
if(kn.rows())
{
Vector coeff(kn.rows());
Double *cp = coeff.field();
const Double factor = 4*PI*GRAVITATIONALCONSTANT/q.r();
for(UInt n=0; n<kn.rows(); n++)
*cp++ = factor*kn(n)/(2.*n+1.);
dKdr += Kernel::radialDerivative(p, q, coeff);
}
return dKdr;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Vector3d KernelSingleLayer::gradient(Vector3d const &p, Vector3d const &q) const
{
try
{
const Double l = (p-q).r();
Vector3d g = -4*PI*GRAVITATIONALCONSTANT/(l*l*l) * (p-q);
if(kn.rows())
{
Vector coeff(kn.rows());
Double *cp = coeff.field();
const Double factor = 4*PI*GRAVITATIONALCONSTANT/q.r();
for(UInt n=0; n<kn.rows(); n++)
*cp++ = factor*kn(n)/(2.*n+1.);
g += Kernel::gradient(p, q, coeff);
}
return g;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Double KernelSingleLayer::inverseKernel(Vector3d const &p, Vector3d const &q, const Kernel &kernel) const
{
try
{
Double f = -1./(4.*PI*GRAVITATIONALCONSTANT) * (2*kernel.radialDerivative(p,q) + kernel.kernel(p,q)/p.r());
if(kn.rows())
{
Double r = p.r();
Double R = q.r();
Double t = inner(p, q)/r/R; // t = cos(psi)
Vector k2 = kernel.coefficients(p, kn.rows()-1);
Vector k1(kn.rows());
Double f1 = R/r;
Double f2 = R/r;
Double factor = 1./(4.*PI*GRAVITATIONALCONSTANT*p.r());
Double *p1 = k1.field();
const Double *p2 = k2.field();
for(UInt n=0; n<kn.rows(); n++)
{
// k1(n) *= (R/r)^(n+1) * sqrt(2n+1) * k2(n));
*p1++ = f1 * factor * (2.*n+1.) * (1/(1.+kn(n))-1) * sqrt(2.*n+1.) * *p2++;
f1 *= f2;
}
f += LegendrePolynomial::sum(t, k1, kn.rows()-1);
}
return f;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Double KernelSingleLayer::inverseKernel(const Time &time, const Vector3d &p, const GravityfieldBase &field) const
{
try
{
Double f = -1./(4.*PI*GRAVITATIONALCONSTANT) * (2*field.radialGradient(time,p) + field.potential(time,p)/p.r());
if(kn.rows())
{
Vector coeff(kn.rows());
Double *cp = coeff.field();
Double factor = 1./(4.*PI*GRAVITATIONALCONSTANT*p.r());
for(UInt n=0; n<kn.rows(); n++)
*cp++ = factor * (2.*n+1.) * (1/(1.+kn(n))-1);
// Convolution with the kernel
SphericalHarmonics harmonics = field.sphericalHarmonics(time, coeff.rows()-1);
f += inner(coeff, harmonics.Yn(p));
}
return f;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
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