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sph.h
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sph.h
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#ifndef SPH_H
#define SPH_H
#ifndef PRICE2
const double PRICE2_ALPHA = 1.5;
const double PRICE2_BETA = 0.7;
#endif
const double PRICE2_A = 4.0*(25.0-pow(PRICE2_BETA,2))/(pow(PRICE2_ALPHA,2)*(pow(PRICE2_ALPHA,2)-pow(PRICE2_BETA,2)));
const double PRICE2_B = (16 + PRICE2_A*pow(PRICE2_ALPHA,4))/pow(PRICE2_BETA,4);
#ifndef MY_CUBIC
const double MY_CUBIC_ALPHA = 1.0;
#endif
const double MY_CUBIC_A = -4.0/pow(MY_CUBIC_ALPHA,2);
#ifdef _1D_
const double WCON = 1;
const double WCON_HANN = 0.25;
const double WCON_PRICE2 = 6.0/(2.0*(PRICE2_A*pow(PRICE2_ALPHA,6)+PRICE2_B*pow(PRICE2_BETA,6)+pow(2.0,6)));
#endif
#ifdef _2D_
const double WCON = 15.0/(7.0*PI);
const double WCON_QUINTIC = 7.0/(478.0*PI);
const double WCON_HANN = 1.0/(4.0*PI-16.0/PI);
const double WCON_PRICE2 = 21.0/(PI*(PRICE2_A*pow(PRICE2_ALPHA,7)+PRICE2_B*pow(PRICE2_BETA,7)+pow(2.0,7)));
const double WCON_MY_CUBIC = 10.0/(PI*(32.0+MY_CUBIC_A*pow(MY_CUBIC_ALPHA,5)));
const double WCON_WENDLAND = 7.0/(64.0*PI);
#endif
#ifdef _3D_
const double WCON = 3.0/(2.0*PI);
const double WCON_WENDLAND = 21.0/(256.0*PI);
#endif
#include "misc.h"
const double BETA_MAX = 1.5;
const double QIN = 2.0/3.0;
const double W1 = 15.0*(2.0/3.0 - 1.0/pow(HFAC,2) + 0.5/pow(HFAC,3))/(7.0*PI);
const int NEPS = 4;
const double ALPHA = Nmisc::viscToAlpha(VISCOSITY,H,SPSOUND);
#include "demConstants.h"
#include "vect.h"
#include "particle.h"
#include "customConstants.h"
#include "globalVars.h"
#include <gsl/gsl_multifit.h>
#include <gsl/gsl_linalg.h>
#include <blitz/array.h>
namespace Nsph {
#ifdef MY_VAR_RES
//inline vect varResDx(vect newDr,vect gradV[NDIM]) {
// vect newDx;
//TODO:this is 2d!
// newDx[0] = newDr[0]*(gradV[0][0]*PSEP/MY_VAR_RES_DV+1) + newDr[1]*gradV[0][1]*PSEP/MY_VAR_RES_DV;
// newDx[1] = newDr[1]*(gradV[1][1]*PSEP/MY_VAR_RES_DV+1) + newDr[0]*gradV[1][0]*PSEP/MY_VAR_RES_DV;
// return newDx;
//}
inline vect varResDx(vect dx,vect dv,vect gradV[NDIM]) {
vect newDx;
for (int i=0;i<NDIM;i++) {
newDx[i] = dx[i] + dot(dv,gradV[i])*pow(PSEP/MY_VAR_RES_DV,2);
}
return newDx;
}
#endif
inline double F(const double q,const double h) {
#ifdef WENDLAND
if (q<=2.0) {
return (1/pow(h,NDIM+2))*WCON_WENDLAND*(-4*pow(2-q,3)*(1+2*q) + 2*pow(2-q,4))/q;
} else {
return 0.0;
}
#else
#ifdef MY_CUBIC
if (q<=MY_CUBIC_ALPHA) {
return -(1/pow(h,NDIM+2))*WCON_MY_CUBIC*3*(pow(2-q,2) + MY_CUBIC_A*pow(MY_CUBIC_ALPHA-q,2))/q;
} else if (q<=2.0) {
return -(1/pow(h,NDIM+2))*WCON_MY_CUBIC*3*pow(2-q,2)/q;
} else {
return 0.0;
}
#else
#ifdef PRICE2
if (q<=PRICE2_BETA) {
return -(1/pow(h,NDIM+2))*WCON_PRICE2*5*(pow(2-q,4) + PRICE2_A*pow(PRICE2_ALPHA-q,4) + PRICE2_B*pow(PRICE2_BETA-q,4))/q;
} else if (q<=PRICE2_ALPHA) {
return -(1/pow(h,NDIM+2))*WCON_PRICE2*5*(pow(2-q,4) + PRICE2_A*pow(PRICE2_ALPHA-q,4))/q;
} else if (q<=2.0) {
return -(1/pow(h,NDIM+2))*WCON_PRICE2*5*pow(2-q,4)/q;
} else {
return 0.0;
}
#else
#ifdef QUINTIC
if (q<=1.0) {
return -(1/pow(h,NDIM+2))*WCON_QUINTIC*5*(pow(3-q,4) - 6*pow(2-q,4) + 15*pow(1-q,4))/q;
} else if (q<=2.0) {
return -(1/pow(h,NDIM+2))*WCON_QUINTIC*5*(pow(3-q,4) - 6*pow(2-q,4))/q;
} else if (q<=3.0) {
return -(1/pow(h,NDIM+2))*WCON_QUINTIC*5*pow(3-q,4)/q;
} else {
return 0.0;
}
#else
#ifdef HANN
if (q<=2.0) {
return (1/pow(h,NDIM+2))*WCON_HANN*0.5*PI*sin(0.5*PI*(q-2.0))/q;
} else {
return 0.0;
}
#else
if (q<=1.0) {
return (1/pow(h,NDIM+2))*WCON*(-2.0+ 1.5*q);
}
else if (q<=2.0) {
return -(1/pow(h,NDIM+2))*3.0*(WCON/6.0)*pow(2.0-q,2)/q;
}
else {
return 0.0;
}
#endif
#endif
#endif
#endif
#endif
}
inline double dKdq(const double q,const double h) {
#ifdef WENDLAND
if (q<=2.0) {
return WCON_WENDLAND*(-4*pow(2-q,3)*(1+2*q) + 2*pow(2-q,4));
} else {
return 0.0;
}
#else
#ifdef MY_CUBIC
if (q<=MY_CUBIC_ALPHA) {
return -WCON_MY_CUBIC*3*(pow(2-q,2) + MY_CUBIC_A*pow(MY_CUBIC_ALPHA-q,2));
} else if (q<=2.0) {
return -WCON_MY_CUBIC*3*pow(2-q,2);
} else {
return 0.0;
}
#else
#ifdef PRICE2
if (q<=PRICE2_BETA) {
return -WCON_PRICE2*5*(pow(2-q,4) + PRICE2_A*pow(PRICE2_ALPHA-q,4) + PRICE2_B*pow(PRICE2_BETA-q,4));
} else if (q<=PRICE2_ALPHA) {
return -WCON_PRICE2*5*(pow(2-q,4) + PRICE2_A*pow(PRICE2_ALPHA-q,4));
} else if (q<=2.0) {
return -WCON_PRICE2*5*pow(2-q,4);
} else {
return 0.0;
}
#else
#ifdef QUINTIC
if (q<=1.0) {
return -WCON_QUINTIC*5*(pow(3-q,4) - 6*pow(2-q,4) + 15*pow(1-q,4));
} else if (q<=2.0) {
return -WCON_QUINTIC*5*(pow(3-q,4) - 6*pow(2-q,4));
} else if (q<=3.0) {
return -WCON_QUINTIC*5*pow(3-q,4);
} else {
return 0.0;
}
#else
#ifdef HANN
if (q<=2.0) {
return WCON_HANN*0.5*PI*sin(0.5*PI*(q-2.0));
} else {
return 0.0;
}
#else
if (q<=1.0) {
double q2 = pow(q,2);
return WCON*(-2.0*q + 1.5*q2);
}
else if (q<=2.0) {
return -3.0*(WCON/6.0)*pow(2.0-q,2);
}
else {
return 0.0;
}
#endif
#endif
#endif
#endif
#endif
}
inline double K(const double q,const double h) {
#ifdef WENDLAND
if (q<=2.0) {
return WCON_WENDLAND*pow(2.0-q,4)*(1.0+2.0*q);
} else {
return 0.0;
}
#else
#ifdef MY_CUBIC
if (q<=MY_CUBIC_ALPHA) {
return WCON_MY_CUBIC*(pow(2-q,3) + MY_CUBIC_A*pow(MY_CUBIC_ALPHA-q,3));
} else if (q<=2.0) {
return WCON_MY_CUBIC*pow(2-q,3);
} else {
return 0.0;
}
#else
#ifdef PRICE2
if (q<=PRICE2_BETA) {
return WCON_PRICE2*(pow(2-q,5) + PRICE2_A*pow(PRICE2_ALPHA-q,5) + PRICE2_B*pow(PRICE2_BETA-q,5));
} else if (q<=PRICE2_ALPHA) {
return WCON_PRICE2*(pow(2-q,5) + PRICE2_A*pow(PRICE2_ALPHA-q,5));
} else if (q<=2.0) {
return WCON_PRICE2*pow(2-q,5);
} else {
return 0.0;
}
#else
#ifdef QUINTIC
if (q<=1.0) {
return WCON_QUINTIC*(pow(3-q,5) - 6*pow(2-q,5) + 15*pow(1-q,5));
} else if (q<=2.0) {
return WCON_QUINTIC*(pow(3-q,5) - 6*pow(2-q,5));
} else if (q<=3.0) {
return WCON_QUINTIC*pow(3-q,5);
} else {
return 0.0;
}
#else
#ifdef HANN
if (q<=2.0) {
return WCON_HANN*(1.0-cos(0.5*PI*(q-2.0)));
} else {
return 0.0;
}
#else
if (q<=1.0) {
double q2 = pow(q,2);
double q3 = q*q2;
return WCON*(2.0/3.0 - q2 + 0.5*q3);
}
else if (q<=2.0) {
return (WCON/6.0)*pow(2.0-q,3);
}
else {
return 0.0;
}
#endif
#endif
#endif
#endif
#endif
}
inline double K3d(const double q,const double h) {
#ifdef WENDLAND
if (q<=2.0) {
return (21.0/(256.0*PI))*pow(2-q,4)*(1+2*q);
} else {
return 0.0;
}
#else
if (q<=1.0) {
double q2 = pow(q,2);
double q3 = q*q2;
return 3.0*(2.0/3.0 - q2 + 0.5*q3)/(2.0*PI);
}
else if (q<=2.0) {
return (1.0/(4.0*PI))*pow(2.0-q,3);
}
else {
return 0.0;
}
#endif
}
inline double pdKh(const double q,const double h) {
#ifdef WENDLAND
if (q<=2.0) {
return -WCON_WENDLAND*q*(-4*pow(2-q,3)*(1+2*q) + 2*pow(2-q,4))/h;
} else {
return 0.0;
}
#else
if (q<=1.0) {
return -WCON*(-2.0 + 1.5*q)*pow(q,2)/h;
}
else if (q<=2.0) {
return 3.0*(WCON/6.0)*pow(2.0-q,2)*q/h;
}
else {
return 0.0;
}
#endif
}
inline double W(const double q,const double h) {
return (1/pow(h,NDIM))*K(q,h);
}
inline double pdWh(const double q,const double h) {
return (1/pow(h,NDIM))*pdKh(q,h)-NDIM/pow(h,NDIM+1)*K(q,h);
}
inline double W3d(const double q,const double h) {
return (1/pow(h,3))*K3d(q,h);
}
inline double W_MLS(const vect dx,const double Wab,const double b0,const vect bRest) {
return (b0 + dot(bRest,dx))*Wab;
}
inline vect gradW(const Cparticle &pa, const Cparticle &pb, const vect dr, const double q, const double h) {
vect drF = 0.0;
if (q!=0) drF = dr*F(q,h);
#ifdef CORRECTED_GRADIENT
const vect ret = product(pa.invM,(drF-pa.sumGrad/pa.sum)/pa.sum);
#else
//if (q==0) cout<<"q=0, r = "<<pa.r<<" iam = "<<pa.iam<<" iam = "<<pb.iam<<" tag = "<<pa.tag<<" tag = "<<pb.tag<<endl;
const vect ret = drF;
#endif
#ifdef VAR_H_CORRECTION
return ret/pa.omega;
#else
#ifdef VAR_H_CORRECTION2
//return 0.5*(1.0+pdWh(q,h)*pb.mass*pb.h/pb.dens)*ret;
//cout << ret << pdWh(q,h)*pa.gradH<<endl;
return (ret + pdWh(q,h)*pa.gradH);
#else
return ret;
#endif
#endif
}
inline void calcB_MLS_iteration(const vect &dx, const double &vWab, gsl_matrix *matA, gsl_vector *dxExt) {
gsl_vector_set(dxExt,0,1.0);
for (int j=0;j<NDIM;j++) {
gsl_vector_set(dxExt,j+1,dx[j]);
}
for (int j=0;j<NDIM+1;j++) {
for (int k=0;k<NDIM+1;k++) {
gsl_matrix_set(matA,j,k,gsl_matrix_get(matA,j,k)+gsl_vector_get(dxExt,j)*gsl_vector_get(dxExt,k)*vWab);
}
}
}
inline void calcB_MLS(Cparticle &p,vector<Cparticle *> &neighbrs,double &b0,vect &bRest,vector<double> &vWab) {
int n = neighbrs.size();
vWab.resize(n+1);
gsl_matrix *matA = gsl_matrix_alloc(NDIM+1,NDIM+1);
gsl_matrix_set_all(matA,0.0);
gsl_vector *dxExt = gsl_vector_alloc(NDIM+1);
vWab[0] = W(0.0,p.h);
vect dx = 0.0;
calcB_MLS_iteration(dx,p.mass*vWab[0]/p.dens,matA,dxExt);
for (int i=0;i<n;i++) {
Cparticle *pn = neighbrs[i];
if ((pn->iam != sph)&&(pn->iam != sphBoundary)) continue;
vect dx = p.r-pn->r;
//double hav = 0.5*(p.h+pn->h);
//vWab[i] = W(len(dx)/hav,hav);
vWab[i+1] = W(len(dx)/p.h,p.h);
calcB_MLS_iteration(dx,pn->mass*vWab[i+1]/pn->dens,matA,dxExt);
}
gsl_matrix *invA = gsl_matrix_alloc(NDIM+1,NDIM+1);
gsl_permutation *perm = gsl_permutation_alloc(NDIM+1);
int tmp;
gsl_linalg_LU_decomp(matA,perm,&tmp);
gsl_linalg_LU_invert(matA,perm,invA);
b0 = gsl_matrix_get(invA,0,0);
for (int i=0;i<NDIM;i++) {
bRest[i] = gsl_matrix_get(invA,i+1,0);
}
gsl_matrix_free(matA);
gsl_matrix_free(invA);
gsl_permutation_free(perm);
gsl_vector_free(dxExt);
}
#ifdef CORRECTED_GRADIENT
inline void calcInvM(Cparticle &p,vector<Cparticle *> &neighbrs,CglobalVars &g) {
p.invM = 0.0;
p.sum = (p.mass/p.dens)*W(0,p.h);
p.sumGrad = 0.0;
int n = neighbrs.size();
if (n == 0) {
for (int i=0;i<NDIM;i++) p.invM[NDIM*i+i] = 1.0;
return;
}
for (int i=0;i<n;i++) {
Cparticle *pn = neighbrs[i];
if ((pn->iam==sph)||(pn->iam==sphBoundary)) {
vect dr = p.r-pn->r;
double r = len(dr);
const double dvol = pn->mass/pn->dens;
double hav = 0.5*(p.h+pn->h);
const double scaleR = r/hav;
const double Fa = F(scaleR,hav);
const double Wab = W(scaleR,hav);
p.sum += dvol*Wab;
p.sumGrad += dvol*dr*Fa;
}
}
for (int i=0;i<n;i++) {
Cparticle *pn = neighbrs[i];
if ((pn->iam==sph)||(pn->iam==sphBoundary)) {
vect dr = p.r-pn->r;
double r = len(dr);
const double dvol = pn->mass/pn->dens;
double hav = 0.5*(p.h+pn->h);
const double scaleR = r/hav;
const double Fa = F(scaleR,hav);
const vect gradW = (dr*Fa-p.sumGrad/p.sum)/p.sum;
p.invM -= (pn->mass/pn->dens)*outerProduct(gradW,dr);
}
}
//if (p.tag ==2101) cout<<"M = "<<p.invM<<endl;
inverseSym(p.invM);
//if (p.tag ==2101) cout<<"M-1 = "<<p.invM<<endl;
// cout <<sum<<' '<<p.invM<<endl;
}
#endif
#ifdef VAR_H_CORRECTION
inline void calcOmega(Cparticle &p,vector<Cparticle *> &neighbrs,CglobalVars &g) {
p.omega = p.mass*pdWh(0,p.h);
int n = neighbrs.size();
for (int i=0;i<n;i++) {
Cparticle *pn = neighbrs[i];
if ((pn->iam==sph)||(pn->iam==sphBoundary)) {
vect dr = p.r-pn->r;
double r = len(dr);
//double hav = 0.5*(p.h+pn->h);
p.omega += pn->mass*pdWh(r/p.h,p.h);
}
}
p.omega = 1+p.h*p.omega/(p.dens*NDIM);
}
#endif
#ifdef VAR_H_CORRECTION2
#ifdef LIQ_DEM
inline void initGradH(Cparticle &p,CglobalVars &g) {
p.gradH = 0.0;
}
inline void calcGradPorosity(Cparticle &p,vector<Cparticle *> &neighbrs,CglobalVars &g) {
if (p.shepSum < 0.0) return;
int n = neighbrs.size();
#ifdef _2D_
#ifdef _2D_DEM
const double vol = PI*pow(DEM_RADIUS,2);
#else
const double vol = (4.0/3.0)*PI*pow(DEM_RADIUS,3)/(2.0*DEM_RADIUS);
#endif
#else
const double vol = (4.0/3.0)*PI*pow(DEM_RADIUS,3);
#endif
for (int i=0;i<n;i++) {
Cparticle *pn = neighbrs[i];
if (pn->iam==dem) cout <<"dem dem dem!!!!!!!!!!!!!!!!!!!!!"<<endl;
const vect dr = pn->r-p.r;
double r = len(dr);
pn->gradH -= vol*gradW(p,*pn,dr,2.0*r/LIQ_DEM_COUPLING_RADIUS,LIQ_DEM_COUPLING_RADIUS/2.0);
}
}
inline void finaliseGradH(Cparticle &p,CglobalVars &g) {
p.gradH *= -p.h/(NDIM*p.porosity);
//p.f -= p.vhat*(p.dporositydt/p.porosity + p.dddt/p.dens);
//p.ff -= p.vhat*(p.dporositydt/p.porosity + p.dddt/p.dens);
}
inline void calcGradPorosity2(Cparticle &p,vector<Cparticle *> &neighbrs,CglobalVars &g) {
int n = neighbrs.size();
#ifdef _2D_
#ifdef _2D_DEM
const double vol = PI*pow(DEM_RADIUS,2);
#else
const double vol = (4.0/3.0)*PI*pow(DEM_RADIUS,3)/(2.0*DEM_RADIUS);
#endif
#else
const double vol = (4.0/3.0)*PI*pow(DEM_RADIUS,3);
#endif
p.gradH = 0.0;
for (int i=0;i<n;i++) {
Cparticle *pn = neighbrs[i];
const vect dr = p.r-pn->r;
double r = len(dr);
if (pn->shepSum < 0.0) continue;
p.gradH -= vol*gradW(*pn,p,dr,2.0*r/LIQ_DEM_COUPLING_RADIUS,LIQ_DEM_COUPLING_RADIUS/2.0);
}
}
#endif
#endif
/*
inline void calc_aom(Cparticle &pa,Cparticle &pb,CglobalVars &g) {
double qa = len(pa.r-pb.r)/pa.h;
pa.aom -= (1.0/(NDIM*pow(HFAC,NDIM)*pa.mass))*pb.mass*(dKdq(qa,pa.h)*qa+NDIM*K(qa,pa.h));
//cout << "aom increment = "<<(1.0/(NDIM*pow(HFAC,NDIM)*pa.mass))*pb.mass*(Csph::dKdq(qa,pa.h)*qa+NDIM*Csph::K(qa,pa.h))<<endl;
//cout << "right most bit = "<<(Csph::dKdq(qa,pa.h)*qa+NDIM*Csph::K(qa,pa.h))<<endl;
//pa.aom -= (1/NDIM)*(1/pow(HFAC,NDIM))*(pb.mass/pa.mass)*(Csph::dKdq(qa,pa.h)*qa+NDIM*Csph::K(qa,pa.h));
//pa.aom = 1;
}
*/
/*
inline void init_aom(Cparticle &p,CglobalVars &g) {
p.aom= 1;
calc_aom(p,p,g);
}
*/
/*
inline void calc_dhdt_and_dalphdt(Cparticle &p,CglobalVars &g) {
double graddotv = -p.dddt/p.dens;
p.dhdt = 0.5*p.h*graddotv;
double tou = p.h/(0.1*p.maxvsig);
double s = max(-graddotv,0.0)*(2.0-p.alpha);
p.dalphdt = -(p.alpha-MIN_ALPHA)/tou + s;
}
*/
inline double courantCondition(const double h, const double vsig) {
//return 0.8*h/vsig;
#ifdef HALF_COURANT
return 0.3*h/vsig;
#else
return 0.6*h/vsig;
#endif
}
inline double viscDiffusionCondition(const double h, const double viscosity) {
#ifdef VISC_MONAGHAN
return 0.06*pow(h,2)/viscosity;
#else
return 0.125*pow(h,2)/viscosity;
#endif
}
inline double accelCondition(const double h, const double accel) {
return 0.3*sqrt(h/accel);
}
inline void accelCondition(Cparticle &pa, CglobalVars &g) {
g.newDt = min(g.newDt,0.25*sqrt(pa.h/len(pa.f)));
}
inline void calcViscEnergy(Cparticle &pa, Cparticle &pb, CglobalVars &g, const vect fv) {
if (pb.iam == sphBoundary) {
pa.deViscBdt -= dot(pa.v,fv);
} else {
pa.deViscFdt -= dot(pa.v,fv);
}
}
inline void calcViscForce(Cparticle &pa,Cparticle &pb,CglobalVars &g,const vect gradWa, const vect dv,const double r) {
vect dx = pa.r-pb.r;
double vdr = dot(dx,dv);
double hav = 0.5*(pa.h+pb.h);
vect fv = 0.0;
double vsig = 0.0;
#ifdef VISC_MORRIS
double visc = VISCOSITY*(pa.dens+pb.dens)/(pa.dens*pb.dens);
#ifdef SLK
vsig = 2.0*SPSOUND*r/len(pa.currR-pb.currR);
#else
vsig = 2.0*SPSOUND;
#endif
#ifdef LIQ_DEM
visc = 2.0*VISCOSITY*DENS/(pa.dens*pb.dens);
//vsig *= 0.5/sqrt(pa.porosity)+0.5/sqrt(pb.porosity);
#endif
fv = dv*pb.mass*visc*dot(dx,gradWa)/(pow(r,2)+0.01*pow(hav,2));
#endif
#ifdef VISC_CLEARY
double visc = 19.8*VISCOSITY*vdr/((pa.dens+pb.dens)*(pow(r,2)+0.01*pow(hav,2)));
vsig = 2.0*SPSOUND;
#ifdef LIQ_DEM
//vsig *= 0.5/sqrt(pa.porosity)+0.5/sqrt(pb.porosity);
#endif
fv = pb.mass*visc*gradWa;
#endif
#ifdef VISC_MONAGHAN
#ifdef SLK
double dr = 0.0;
vect newDx = pa.currR-pb.currR;
double newVdr = dot(newDx,dv);
double newR = len(newDx);
if (newR!=0.0) dr = 1/newR;
double viss = newVdr*dr;
vsig = 2.0*(SPSOUND + abs(viss))*r/len(pa.currR-pb.currR);
#else
double dr = 0.0;
if (r!=0.0) dr = 1/r;
double viss = vdr*dr;
#ifdef LIQ_DEM
//double vsig = SPSOUND*(1.0/sqrt(pa.porosity)+1.0/sqrt(pb.porosity)) + 2.0*abs(viss);
#else
vsig = 2.0*SPSOUND + 2.0*abs(viss);
#endif
#endif
//cout << "abs(viss) = "<<abs(viss)<<" avspsound = "<<0.5*(pa.spsound+pb.spsound)<<endl;
//double vsig = 2.0*SPSOUND;
//if (vsig > pa.maxvsig) pa.maxvsig = vsig;
double visc = viss*vsig*ALPHA/(pa.dens+pb.dens);
fv = pb.mass*visc*gradWa;
#endif
#ifdef VISC_ARTIFICIAL
double artificial_vsig = 0;
double artificial_visc = 0.0;
if (vdr<0) {
double dr = 0.0;
if (r!=0.0) dr = 1/r;
double viss = vdr*dr;
// vsig = SPSOUND*(1.0/sqrt(pa.porosity)+1.0/sqrt(pb.porosity) - 4.0*viss);
artificial_vsig = 2.0*SPSOUND - 4.0*viss;
artificial_visc = viss*artificial_vsig*ALPHA_ARTIFICIAL/(pa.dens+pb.dens);
}
pa.f += pb.mass*artificial_visc*gradWa;
vsig = max(vsig,artificial_vsig);
#endif
g.newDt = min(g.newDt,courantCondition(hav,vsig));
//g.newDt = min(g.newDt,courantCondition(hav,2*SPSOUND));
g.newDt = min(g.newDt,viscDiffusionCondition(hav,VISCOSITY));
pa.fv += fv;
#ifdef LIQ_DEM
#ifdef LIQ_DEM_SEPARATE_DRAGS
fv *= pa.porosity;
#else
#ifdef LIQ_DEM_TEST
fv *= pa.porosity;
#endif
#endif
#endif
pa.f += fv;
//calcViscEnergy(pa,pb,g,fv);
}
inline void calcElasticEnergy(Cparticle &pa, Cparticle &pb, CglobalVars &g, const double Fa, const double antic) {
double vdr = dot(pa.v-pb.v,pa.r-pb.r);
double ufac = vdr*Fa;
double dudtinc = pb.mass*(pa.pdr2+0.5*antic)*ufac;
pa.dudt += dudtinc;
//if (pb.iam == sphBoundary) {
// dudtinc = pa.mass*(pb.pdr2+0.5*antic)*ufac;
// pb.dudt += dudtinc;
//}
}
inline void calcBoundaryEnergy(Cparticle &pa, Cparticle &pb, CglobalVars &g, const vect fb) {
pa.deBForcedt -= dot(pa.v,fb);
}
#ifdef BACKGROUND_PRESSURE_FORCE
inline void addBackgroundPressure(Cparticle &pa,CglobalVars &g) {
for (int i=0;i<NDIM;i++) {
pa.fp[i] += BGP_ACCEL[i];
pa.f[i] += BGP_ACCEL[i];
}
}
#endif
inline void calcPressForce(Cparticle &pa, Cparticle &pb,CglobalVars &g, const vect gradWa, const vect gradWb,const double kdwPowNeps) {
vect dx = pa.r-pb.r;
#ifdef DDENS_VARIANT
vect prfac = 2.0*sqrt(pa.press*pb.press)/(pa.dens*pb.dens)*gradWa;
#else
vect prfac = (pa.pdr2*gradWa + pb.pdr2*gradWb);
#endif
vect antic = 0.01*abs(pa.pdr2+pb.pdr2)*kdwPowNeps;
#ifdef DIRECT_SMOOTHING
prfac = prfac + antic - (EPSILON/2.0)*len2(pa.v-pb.v)/DENS;
#else
prfac = prfac + antic;
#endif
//if ((pa.tag == 1)&&(pb.tag == 11)) cout << "prfac = "<<prfac<<" antic = "<<antic<<" dens = "<<pa.dens<<" press = "<<pa.press<<" dens b = "<<pb.dens<<" press b = "<<pb.press<<endl;
//if ((pa.tag == 1)&&(pb.tag == 11)) cout << "pb.mass = "<<pb.mass<<" gradWa = "<<gradWa <<endl;
vect fp = -pb.mass*prfac;
//if ((pa.tag == 1)&&(pb.tag == 11)) {
// cout << "fp = "<<fp<<" pa.pdr2 = "<<pa.pdr2<<" pb.pdr2 = "<<pb.pdr2<<" pb.iam = "<<pb.iam<<" p.y = "<<pb.r[1]<<" b.tag == "<<pb.tag<<"pb.r = "<<pb.r<<" pa.r = "<<pa.r<<endl;
//}
#ifdef DENS_DIFFUSE_PRESS
double r = len(dx);
vect dv = pa.v-pb.v;
double vdr = dot(dv,dx);
double dr = 0.0;
if (r!=0.0) dr = 1/r;
double viss = vdr*dr;
//cout << "abs(viss) = "<<abs(viss)<<" avspsound = "<<0.5*(pa.spsound+pb.spsound)<<endl;
double vsig = 2.0*SPSOUND + 2.0*abs(viss);
//double vsig = 2.0*SPSOUND;
//if (vsig > pa.maxvsig) pa.maxvsig = vsig;
double pressDiff = 2.0*ALPHA*vsig*(pa.dens-pb.dens)*(pa.pdr2-pb.pdr2)/(pa.dens+pb.dens);
fp -= pb.mass*pressDiff*gradWa;
#endif
pa.fp += fp;
pa.f += fp;
}
inline void calcNormal(Cparticle &pa, Cparticle &pb,const vect &dx,const double &r,vect &normp,vect &normt) {
if (all(pb.norm2==0)) {
normp = pb.norm1;
#ifdef _3D_
normt = pb.norm3;
#endif
return;
}
float rdot1 = dot(dx,pb.norm1);
float rdot2 = dot(dx,pb.norm2);
float rntest = r*r*dot(pb.norm1,pb.norm2) - rdot1*rdot2;
if (rntest <= 0) {
//use radial vector
normp = dx/r;
//This assumes that pb.norm3 is parallel to the edge
//normt = cross(normp,pb.norm3);
#ifdef _3D_
normt = pb.norm3;
#endif
return;
} else {
//use either normal
int con;
if (pb.concave) {
con = 1;
} else {
con = -1;
}
if (con*(rdot1-rdot2) > 0) {
normp = pb.norm1;
#ifdef _3D_
normt = pb.norm3;
#endif
return;
} else {
normp = pb.norm2;
#ifdef _3D_
normt = pb.norm3;
#endif
return;
}
}
}
inline void calcRadialBoundaryForces2D(Cparticle &p, Cparticle &bp,CglobalVars &g) {
const double bforce = 1;
vect fb = 0.02*pow(SPSOUND,2)*bforce/(p.mass+bp.mass);
p.f += fb;
p.fb += fb;
}
inline void calcBoundaryForces(Cparticle &p, Cparticle &bp,CglobalVars &g,const vect normp, const vect normt,const double kdwPowNeps) {
vect dx = p.r-bp.r;
vect dv = p.vhat-bp.vhat;
double rperp = dot(normp,dx);
vect rtang = dx - rperp*normp;
double ptang[2];
double pdist[2];
const double rDelP = 1.0/(BFAC*PSEP);
#ifdef _3D_
ptang[0] = abs(dot(rtang,normt));
ptang[1] = len(cross(rtang,normt));
#else
ptang[0] = len(rtang);
ptang[1] = 0;
#endif
pdist[0] = ptang[0]*rDelP;
pdist[1] = ptang[1]*rDelP;
if ((pdist[0] <= 1.0)&&(pdist[1] <= 1.0)) {
const double pesky = 0.25*(1+cos(PI*pdist[0]))*(1+cos(PI*pdist[1]));
double hav = 0.5*(p.h+bp.h);
#ifdef MY_VAR_RES
vect gradV[NDIM];
for (int i=0;i<NDIM;i++) {
gradV[i]=0.5*(p.gradV[i]+bp.gradV[i]);
}
//TODO:This is 2D
vect newDv;
newDv[0] = dx[0]*gradV[0][0] + dx[1]*gradV[1][0];
newDv[1] = dx[0]*gradV[0][1] + dx[1]*gradV[1][1];
double q = (abs(rperp)+len(newDv))/hav;
#else
//double q = abs(rperp)/hav;
#endif
/*
double bfact = 1.0/abs(rperp);
double bforce = 0.0;
if (q <= QIN) {
bforce = bfact*QIN;
} else if (q <= 1.0) {
bforce = bfact*(2.0*q - 1.5*q*q);
} else if (q <= 2.0) {
bforce = bfact*0.5*pow(2.0-q,2);
}
int srperp = 1;
if (rperp < 0) srperp = -1;
double coef = 0.01*pow(SPSOUND,2)*(1.0+kdwPowNeps);
double amassrat = 2.0*p.mass/(p.mass+bp.mass);
double bff = coef*bforce*pesky*amassrat;
vect fb = srperp*bff*norm;
*/
//double q = abs(rperp)/(2.0*hav);
double q = abs(rperp)/(1.0*PSEP);
vect fb = 0.0;
if (q < 2.0) {
double epsilon = 1;
#ifdef MODIFY_BFORCE_WITH_STILL_LEVEL
epsilon = 0;
#ifdef _3D_
double vert = bp.r[2]-STILL_LEVEL;
#else
double vert = bp.r[1]-STILL_LEVEL;
#endif
if (vert > 0) {
epsilon = 0.02;
} else if (vert>-STILL_LEVEL) {
epsilon = abs(vert/STILL_LEVEL) + 0.02;
} else {
epsilon = 1.0;
}
double normVel = dot(dv,normp);
if (normVel > 0) {
epsilon += 0;
} else if (normVel > -SPSOUND/20.0) {
epsilon += -20.0*normVel/SPSOUND;
} else {
epsilon += 1.0;
}
const double bigA = 0.01*pow(SPSOUND,2);
#else
int beta = 0;
if (dot(dx,dv) < 0) beta = 1;
const double bigA = 0.01*pow(SPSOUND,2) - beta*SPSOUND*dot(dv,normp);
#endif
double bfact = 1.0/abs(rperp);
//double bfact = 1.0/hav;
double bforce = 0.0;
if (q <= QIN) {
bforce = bfact*QIN;
} else if (q <= 1.0) {
bforce = bfact*(2.0*q - 1.5*q*q);
} else if (q <= 2.0) {
bforce = bfact*0.5*pow(2.0-q,2);
}
const double bigR = bigA*bforce;
//const double bigR = bigA*(1-0.5*q)/(hav*sqrt(0.5*q));
const double amassrat = 2.0*p.mass/(p.mass+bp.mass);
int sign = 1;
if (rperp<0) {
sign = -1;
}
fb = sign*amassrat*normp*bigR*pesky*epsilon;
//if (len(fb)>4000) {
// cout <<"fb = "<<fb<<"pb.r = "<<bp.r<<"bp.norm1 = "<<bp.norm1<<"pb.norm2 = "<<bp.norm2<<"bp.norm3 = "<<bp.norm3<<" normp = "<<normp<<" normt = "<<normt<<endl;
//}
}
p.fb += fb;
#ifdef LIQ_DEM
#ifdef LIQ_DEM_SEPARATE_DRAGS
fb *= p.porosity;
#endif
#endif
p.f += fb;
//p.debfor += -bff*(bp.norm[0]*p.v[0] + bp.norm[1]*p.v[1]);
//p.minDt = min(p.minDt,0.5*abs(rperp)/sqrt(coef));
//g.newDt = min(g.newDt,0.5*abs(rperp)/sqrt(coef));
//g.newDt = min(g.newDt,0.5*abs(rperp)/sqrt(bigA));
//if (p.tag==2204) cout << "norm = "<<norm<<" pdist = "<<pdist<<" fb = "<<fb<<" p.r = "<<p.r<<" bp.r = "<<bp.r<<endl;
}
}
inline void calcBoundaryForces2D(Cparticle &p, Cparticle &bp,CglobalVars &g,const vect norm, const double kdwPowNeps) {
vect dx = p.r-bp.r;
double rperp = norm[0]*dx[0] + norm[1]*dx[1];
double rtang = norm[0]*dx[1] - norm[1]*dx[0];
double pdist = abs(rtang/BFAC*PSEP);
if (pdist <= 1.0) {
double pesky = 1.0-pdist;
double hav = 0.5*(p.h+bp.h);
#ifdef MY_VAR_RES
vect gradV[NDIM];
for (int i=0;i<NDIM;i++) {
gradV[i]=0.5*(p.gradV[i]+bp.gradV[i]);
}
//TODO:This is 2D
vect newDv;
newDv[0] = dx[0]*gradV[0][0] + dx[1]*gradV[1][0];
newDv[1] = dx[0]*gradV[0][1] + dx[1]*gradV[1][1];
double q = (abs(rperp)+len(newDv))/hav;
#else
double q = abs(rperp)/hav;
#endif
double bfact = 1.0/abs(rperp);
double bforce = 0.0;
if (q <= QIN) {
bforce = bfact*QIN;
} else if (q <= 1.0) {
bforce = bfact*(2.0*q - 1.5*q*q);
} else if (q <= 2.0) {
bforce = bfact*0.5*pow(2.0-q,2);
}
int srperp = 1;
if (rperp < 0) srperp = -1;
double coef = 0.01*pow(SPSOUND,2)*(1.0+kdwPowNeps);
double amassrat = 2.0*bp.mass/(bp.mass+p.mass);
double bff = coef*bforce*pesky*amassrat;
vect fb = srperp*bff*norm;
p.f += fb;
p.fb += fb;
//p.debfor += -bff*(bp.norm[0]*p.v[0] + bp.norm[1]*p.v[1]);
//p.minDt = min(p.minDt,0.5*abs(rperp)/sqrt(coef));
g.newDt = min(g.newDt,0.5*abs(rperp)/sqrt(coef));
//if (p.tag==2204) cout << "norm = "<<norm<<" pdist = "<<pdist<<" fb = "<<fb<<" p.r = "<<p.r<<" bp.r = "<<bp.r<<endl;
}
}
inline void calcVortSPHSum(Cparticle &p, vector<Cparticle *> &neighbrs,CglobalVars &g) {
//TODO: currently only supports 2D, make it more general
double correctionTerm = 0;
p.vort = 0;
for (int i=0;i<neighbrs.size();i++) {
if (neighbrs[i]->iam == sph) {
Cparticle *pn = neighbrs[i];
vect dr = p.r-pn->r;
vect dv = p.v-pn->v;
double r2 = len2(dr);
double r = sqrt(r2);
double hav = 0.5*(p.h+pn->h);
double Fa = F(r/hav,hav);
//Here is the 2D specific line
p.vort += pn->mass*Fa*(dv[0]*dr[1]-dv[1]*dr[0])/pn->dens;
correctionTerm -= 0.5*pn->mass*r2*Fa/pn->dens;
}
}
if (correctionTerm != 0) p.vort /= correctionTerm;
}
#ifdef SLK
inline void calcGLeastSquares(Cparticle &p, vector<Cparticle *> &neighbrs,CglobalVars &g) {
double chisq;
int n = neighbrs.size();
gsl_matrix *X = gsl_matrix_alloc(n,NDIM);