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FEMM/fkn/prob3big.cpp

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#include<stdafx.h>
#include<stdio.h>
#include<math.h>
#include "fkn.h"
#include "fknDlg.h"
#include "complex.h"
#include "mesh.h"
#include "spars.h"
#include "FemmeDocCore.h"
#include "lua.h"
#define Log log
extern lua_State *lua;
BOOL CFemmeDocCore::StaticAxisymmetric(CBigLinProb &L)
{
int i,j,k,s,w;
double Me[3][3],Mx[3][3],My[3][3],Mxy[3][3],Mn[3][3];
double l[3],p[3],q[3],g[3],be[3],u[3],v[3],res,lastres,dv,vol;
int n[3]; // numbers of nodes for a particular element;
double a,K,r,t,x,y,B,mu,R,rn[3],a_hat,R_hat,Cduct;
double c=PI*4.e-05;
double units[]={2.54,0.1,1.,100.,0.00254,1.e-04};
double *V_old,*CircInt1,*CircInt2,*CircInt3;;
int flag,Iter=0,pctr;
BOOL LinearFlag=TRUE;
BOOL bIncremental = FALSE;
BOOL bRestart = FALSE;
double murel, muinc;
if (PrevSoln.GetLength() > 0) bIncremental = PrevType;
res=0;
CElement *El;
V_old=(double *) calloc(NumNodes,sizeof(double));
for(i=0;i<NumBlockLabels;i++) GetFillFactor(i);
extRo*=units[LengthUnits];
extRi*=units[LengthUnits];
extZo*=units[LengthUnits];
// check to see if any circuits have been defined and process them;
if (NumCircProps>0)
{
CircInt1=(double *)calloc(NumCircProps,sizeof(double));
CircInt2=(double *)calloc(NumCircProps,sizeof(double));
CircInt3=(double *)calloc(NumCircProps,sizeof(double));
for(i=0;i<NumEls;i++){
if(meshele[i].lbl>=0)
if(labellist[meshele[i].lbl].InCircuit!=-1){
El=&meshele[i];
// get element area;
for(k=0;k<3;k++) n[k]=El->p[k];
p[0]=meshnode[n[1]].y - meshnode[n[2]].y;
p[1]=meshnode[n[2]].y - meshnode[n[0]].y;
p[2]=meshnode[n[0]].y - meshnode[n[1]].y;
q[0]=meshnode[n[2]].x - meshnode[n[1]].x;
q[1]=meshnode[n[0]].x - meshnode[n[2]].x;
q[2]=meshnode[n[1]].x - meshnode[n[0]].x;
a=(p[0]*q[1]-p[1]*q[0])/2.;
r=(meshnode[n[0]].x+meshnode[n[1]].x+meshnode[n[2]].x)/3.;
// if coils are wound, they act like they have
// a zero "bulk" conductivity...
Cduct=blockproplist[El->blk].Cduct;
if (labellist[El->lbl].bIsWound) Cduct=0;
// evaluate integrals;
CircInt1[labellist[El->lbl].InCircuit]+=a;
CircInt2[labellist[El->lbl].InCircuit]+=
100.*a*Cduct/r;
CircInt3[labellist[El->lbl].InCircuit]+=
blockproplist[El->blk].Jr*a*100.;
}
}
for(i=0;i<NumCircProps;i++)
{
if (circproplist[i].CircType==0)
{
if(CircInt2[i]==0){
circproplist[i].Case=1;
if(CircInt1[i]==0.) circproplist[i].J=0.;
else circproplist[i].J=0.01*(circproplist[i].Amps_re -
CircInt3[i])/CircInt1[i];
}
else{
circproplist[i].Case=0;
circproplist[i].dV=-0.01*(circproplist[i].Amps_re -
CircInt3[i])/CircInt2[i];
}
}
else{
circproplist[i].Case=0;
circproplist[i].dV=circproplist[i].dVolts_re;
}
}
}
// first, need to define permeability in each block. In nonlinear
// case, this is sort of a hassle. Linear permeability is simply
// copied from the associated block definition, but nonlinear
// permeability must be updated from iteration to iteration...
// build element matrices using the matrices derived in Allaire's book.
do{
TheView->SetDlgItemText(IDC_FRAME1,"Matrix Construction");
TheView->m_prog1.SetPos(0);
pctr=0;
if(Iter>0) L.Wipe();
else{
if (bIncremental==1)
{
// try to restart from a previous file of the same name
// to cut down on the time to solve the incremental problem
CString myFile;
myFile.Format("%s.ans",PathName);
if (LoadPrevA(myFile,L.V)) bRestart = 2;
}
else if ((bIncremental==0) && (PrevSoln.GetLength()>0))
{
// load initial guess from the explicitly specified previous solution
bRestart = LoadPrevA(PrevSoln,L.V);
}
if (bRestart>0)
{
for(i=0;i<NumNodes;i++) if (meshnode[i].x > 1.e-06) L.V[i]/=(meshnode[i].x*0.01*2*PI);
}
}
for(i=0;i<NumEls;i++){
// update ``building matrix'' progress bar...
j=(i*20)/NumEls+1;
if(j>pctr){
j=pctr*5; if (j>100) j=100;
TheView->m_prog1.SetPos(j);
pctr++;
}
// zero out Me, be;
for(j=0;j<3;j++){
for(k=0;k<3;k++){
Me[j][k] = 0.;
Mx[j][k] = 0.;
My[j][k] = 0.;
Mxy[j][k] = 0.;
Mn[j][k] = 0.;
}
be[j]=0.;
}
// Determine shape parameters.
// l == element side lengths;
// p corresponds to the `b' parameter in Allaire
// q corresponds to the `c' parameter in Allaire
El=&meshele[i];
for(k=0;k<3;k++){
n[k]=El->p[k];
rn[k]=meshnode[n[k]].x;
}
p[0]=meshnode[n[1]].y - meshnode[n[2]].y;
p[1]=meshnode[n[2]].y - meshnode[n[0]].y;
p[2]=meshnode[n[0]].y - meshnode[n[1]].y;
q[0]=meshnode[n[2]].x - meshnode[n[1]].x;
q[1]=meshnode[n[0]].x - meshnode[n[2]].x;
q[2]=meshnode[n[1]].x - meshnode[n[0]].x;
g[0]=(meshnode[n[2]].x + meshnode[n[1]].x)/2.;
g[1]=(meshnode[n[0]].x + meshnode[n[2]].x)/2.;
g[2]=(meshnode[n[1]].x + meshnode[n[0]].x)/2.;
for(j=0,k=1;j<3;k++,j++){
if (k==3) k=0;
l[j]=sqrt( pow(meshnode[n[k]].x-meshnode[n[j]].x,2.) +
pow(meshnode[n[k]].y-meshnode[n[j]].y,2.) );
}
a=(p[0]*q[1]-p[1]*q[0])/2.;
R=(meshnode[n[0]].x+meshnode[n[1]].x+meshnode[n[2]].x)/3.;
for(j=0,a_hat=0;j<3;j++) a_hat+=(rn[j]*rn[j]*p[j]/(4.*R));
vol=2.*R*a_hat;
for(j=0,flag=0;j<3;j++) if(rn[j]<1.e-06) flag++;
switch(flag)
{
case 2:
R_hat=R;
break;
case 1:
if(rn[0]<1.e-06){
if (fabs(rn[1]-rn[2])<1.e-06) R_hat=rn[2]/2.;
else R_hat=(rn[1] - rn[2])/(2.*log(rn[1]) - 2.*log(rn[2]));
}
if(rn[1]<1.e-06){
if (fabs(rn[2]-rn[0])<1.e-06) R_hat=rn[0]/2.;
else R_hat=(rn[2] - rn[0])/(2.*log(rn[2]) - 2.*log(rn[0]));
}
if(rn[2]<1.e-06){
if (fabs(rn[0]-rn[1])<1.e-06) R_hat=rn[1]/2.;
else R_hat=(rn[0] - rn[1])/(2.*log(rn[0]) - 2.*log(rn[1]));
}
break;
default:
if (fabs(q[0])<1.e-06)
R_hat=(q[1]*q[1])/(2.*(-q[1] + rn[0]*log(rn[0]/rn[2])));
else if (fabs(q[1])<1.e-06)
R_hat=(q[2]*q[2])/(2.*(-q[2] + rn[1]*log(rn[1]/rn[0])));
else if (fabs(q[2])<1.e-06)
R_hat=(q[0]*q[0])/(2.*(-q[0] + rn[2]*log(rn[2]/rn[1])));
else
R_hat=-(q[0]*q[1]*q[2])/
(2.*(q[0]*rn[0]*log(rn[0]) +
q[1]*rn[1]*log(rn[1]) +
q[2]*rn[2]*log(rn[2])));
break;
}
// Mr Contribution
// Derived from flux formulation with c0 + c1 r^2 + c2 z
// interpolation in the element.
K=(-1./(2.*a_hat*R));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
Mx[j][k] += K*p[j]*rn[j]*p[k]*rn[k];
// need this loop to avoid singularities. This just puts something
// on the main diagonal of nodes that are on the r=0 line.
// The program later sets these nodes to zero, but it's good to
// for scaling reasons to grab entries from the neighboring diagonals
// rather than just setting these entries to 1 or something....
for(j=0;j<3;j++)
if (rn[j]<1.e-06) Mx[j][j]+=Mx[0][0]+Mx[1][1]+Mx[2][2];
// Mz Contribution;
// Derived from flux formulation with c0 + c1 r^2 + c2 z
// interpolation in the element.
K=(-1./(2.*a_hat*R_hat));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
My[j][k] += K*(q[j]*rn[j])*(q[k]*rn[k])*
(g[j]/R)*(g[k]/R);
// Mrz Contribution;
// Derived from flux formulation with c0 + c1 r^2 + c2 z
// interpolation in the element.
K = (-1. / (2.*a_hat*R_hat));
for (j = 0;j<3;j++)
for (k = j;k<3;k++)
Mxy[j][k] += K*((q[j] * rn[j])*(g[j] / R))*(p[k] * rn[k]) + K*((q[k] * rn[k])*(g[k] / R))*(p[j] * rn[j]);
// Fill out rest of entries of Mx and My;
Mx[1][0]=Mx[0][1]; Mx[2][0]=Mx[0][2]; Mx[2][1]=Mx[1][2];
My[1][0]=My[0][1]; My[2][0]=My[0][2]; My[2][1]=My[1][2];
Mxy[1][0] = Mxy[0][1]; Mxy[2][0] = Mxy[0][2]; Mxy[2][1] = Mxy[1][2];
// contributions to Me, be from derivative boundary conditions;
for(j=0;j<3;j++){
if (El->e[j] >= 0)
if (lineproplist[El->e[j]].BdryFormat==2)
{
// conversion factor is 10^(-4) (I think...)
k=j+1; if(k==3) k=0;
r=(meshnode[n[j]].x+meshnode[n[k]].x)/2.;
K=-0.0001*c*2.*r*lineproplist[ El->e[j] ].c0.re*l[j]/6.;
k=j+1; if(k==3) k=0;
Me[j][j]+=K*2.;
Me[k][k]+=K*2.;
Me[j][k]+=K;
Me[k][j]+=K;
K=(lineproplist[ El->e[j] ].c1.re*l[j]/2.)*0.0001*2*r;
be[j]+=K;
be[k]+=K;
}
}
// contribution to be from current density in the block
for(j=0,El->Jprev=0;j<3;j++)
{
if(labellist[El->lbl].InCircuit>=0)
{
k=labellist[El->lbl].InCircuit;
if(circproplist[k].Case==1) t=circproplist[k].J.Re();
if(circproplist[k].Case==0)
t=-100.*circproplist[k].dV.Re()*blockproplist[El->blk].Cduct/R;
}
else t=0;
K=-2.*R*(blockproplist[El->blk].Jr+t)*a/3.;
be[j]+=K;
// record avg current density in the block for use in incremental solutions
if (bIncremental==FALSE) El->Jprev+=(blockproplist[El->blk].Jr+t)/3.;
}
// contribution to be from magnetization in the block;
t=labellist[El->lbl].MagDir;
if (labellist[El->lbl].MagDirFctn!=NULL) // functional magnetization direction
{
CString str;
CComplex X;
int top1,top2;
for (j=0,X=0;j<3;j++) X+=(meshnode[n[j]].x + I*meshnode[n[j]].y);
X=X/units[LengthUnits]/3.;
str.Format("r=%.17g\nz=%.17g\nx=r\ny=z\ntheta=%.17g\nR=%.17g\nreturn %s",
X.re,X.im,arg(X)*180/PI,abs(X),labellist[El->lbl].MagDirFctn);
top1=lua_gettop(lua);
if(lua_dostring(lua,str)!=0)
{
MsgBox("Lua error evaluating \"%s\"",labellist[El->lbl].MagDirFctn);
exit(7);
}
top2=lua_gettop(lua);
if (top2!=top1){
str=lua_tostring(lua,-1);
if (str.GetLength()==0){
MsgBox("\"%s\" does not evaluate to a numerical value",
labellist[El->lbl].MagDirFctn);
exit(7);
}
else t=Re(lua_tonumber(lua,-1));
}
}
for(j=0;j<3;j++){
k=j+1; if(k==3) k=0;
r=(meshnode[n[j]].x+meshnode[n[k]].x)/2.;
// need to scale so that everything is in proper units...
// conversion is 0.0001
K=-0.0001*r*blockproplist[El->blk].H_c*(
cos(t*PI/180.)*(meshnode[n[k]].x-meshnode[n[j]].x) +
sin(t*PI/180.)*(meshnode[n[k]].y-meshnode[n[j]].y) );
be[j]+=K;
be[k]+=K;
}
// update permeability for the element;
if (Iter==0){
k=meshele[i].blk;
if (blockproplist[k].LamType == 0) {
mu = blockproplist[k].LamFill;
meshele[i].mu1 = blockproplist[k].mu_x*mu;
meshele[i].mu2 = blockproplist[k].mu_y*mu;
}
if (blockproplist[k].LamType == 1) {
mu = blockproplist[k].LamFill;
K = blockproplist[k].mu_x;
meshele[i].mu1 = K*mu + (1. - mu);
meshele[i].mu2 = K / (mu + K*(1. - mu));
}
if (blockproplist[k].LamType == 2) {
mu = blockproplist[k].LamFill;
K = blockproplist[k].mu_y;
meshele[i].mu1 = K*mu + (1. - mu);
meshele[i].mu2 = K / (mu + K*(1. - mu));
}
if (blockproplist[k].LamType>2)
{
meshele[i].mu1 = 1;
meshele[i].mu2 = 1;
}
if (blockproplist[k].BHpoints != 0)
{
if (bIncremental == FALSE)
{
// There's no previous solution. This is a standard nonlinear problem
LinearFlag = FALSE;
}
else {
double B1p, B2p;
// too lazy to consistently code incremental/frozen formulation for on-edge lams.
// detect this condition, throw an error, and exit.
if (blockproplist[k].LamType > 0)
{
MsgBox("On-edge Lam Types not yet supported in\nincremental/frozen permeability problems");
exit(0);
}
// Get B from previous solution
GetPrevAxiB(i,B1p,B2p);
B = sqrt(B1p*B1p + B2p*B2p);
// look up incremental permeability and assign it to the element;
blockproplist[k].IncrementalPermeability(B, muinc, murel);
if (B == 0)
{
meshele[i].mu1 = muinc;
meshele[i].mu2 = muinc;
meshele[i].v12 = 0;
}
else {
if (bIncremental == 1)
{
// MsgBox("muinc = %g, murel=%g",muinc,murel);
// Need to actually compute B1 and B2 to build incremental permeability tensor
meshele[i].mu1 = B*B*muinc*murel / (B1p*B1p*murel + B2p*B2p*muinc);
meshele[i].mu2 = B*B*muinc*murel / (B1p*B1p*muinc + B2p*B2p*murel);
meshele[i].v12 = -B1p*B2p*(murel - muinc) / (B*B*murel*muinc);
}
else {
// Define "frozen permeability"
meshele[i].mu1 = murel;
meshele[i].mu2 = murel;
meshele[i].v12 = 0;
}
}
}
}
}
if ((Iter>0) || (bRestart==TRUE))
{
k=meshele[i].blk;
if ((blockproplist[k].LamType==0) &&
(meshele[i].mu1==meshele[i].mu2)
&&(blockproplist[k].BHpoints>0))
{
// Derive B directly from energy;
v[0]=0;v[1]=0;v[2]=0;
for(j=0;j<3;j++)
for(w=0;w<3;w++)
v[j]+=(Mx[j][w]+My[j][w])*L.V[n[w]];
for(j=0,dv=0;j<3;j++) dv+=L.V[n[j]]*v[j];
dv*=(10000.*c*c/vol);
B=sqrt(fabs(dv));
// find out new mu from saturation curve;
blockproplist[k].GetBHProps(B,mu,dv);
mu=1./(muo*mu);
meshele[i].mu1=mu;
meshele[i].mu2=mu;
for(j=0;j<3;j++){
for(w=0,v[j]=0;w<3;w++)
v[j]+=(Mx[j][w]+My[j][w])*L.V[n[w]];
}
K=-200.*c*c*c*dv/vol;
for(j=0;j<3;j++)
for(w=0;w<3;w++)
Mn[j][w]=K*v[j]*v[w];
}
if ((blockproplist[k].LamType==1) && (blockproplist[k].BHpoints>0)){
// Derive B directly from energy;
t=blockproplist[k].LamFill;
v[0]=0;v[1]=0;v[2]=0;
for(j=0;j<3;j++)
for(w=0;w<3;w++)
v[j]+=(Mx[j][w]+My[j][w]/(t*t))*L.V[n[w]];
for(j=0,dv=0;j<3;j++) dv+=L.V[n[j]]*v[j];
dv*=(10000.*c*c/vol);
B=sqrt(fabs(dv));
// Evaluate BH curve
blockproplist[k].GetBHProps(B,mu,dv);
mu=1./(muo*mu);
meshele[i].mu1=mu*t;
meshele[i].mu2=mu/(t+mu*(1.-t));
for(j=0;j<3;j++){
for(w=0,v[j]=0,u[j]=0;w<3;w++)
{
v[j]+=(My[j][w]/t+Mx[j][w])*L.V[n[w]];
u[j]+=(My[j][w]/t + t*Mx[j][w])*L.V[n[w]];
}
}
K=-100.*c*c*c*dv/(vol);
for(j=0;j<3;j++)
for(w=0;w<3;w++)
Mn[j][w]=K*(v[j]*u[w]+v[w]*u[j]);
}
if ((blockproplist[k].LamType==2) && (blockproplist[k].BHpoints>0)){
// Derive B directly from energy;
t=blockproplist[k].LamFill;
v[0]=0;v[1]=0;v[2]=0;
for(j=0;j<3;j++)
for(w=0;w<3;w++)
v[j]+=(Mx[j][w]/(t*t)+My[j][w])*L.V[n[w]];
for(j=0,dv=0;j<3;j++) dv+=L.V[n[j]]*v[j];
dv*=(10000.*c*c/vol);
B=sqrt(fabs(dv));
// Evaluate BH curve
blockproplist[k].GetBHProps(B,mu,dv);
mu=1./(muo*mu);
meshele[i].mu2=mu*t;
meshele[i].mu1=mu/(t+mu*(1.-t));
for(j=0;j<3;j++){
for(w=0,v[j]=0,u[j]=0;w<3;w++)
{
v[j]+=(Mx[j][w]/t + My[j][w])*L.V[n[w]];
u[j]+=(Mx[j][w]/t + t*My[j][w])*L.V[n[w]];
}
}
K=-100.*c*c*c*dv/(vol);
for(j=0;j<3;j++)
for(w=0;w<3;w++)
Mn[j][w]=K*(v[j]*u[w]+v[w]*u[j]);
}
}
// "Warp" the permeability of this element if part of
// the conformally mapped external region
if((labellist[meshele[i].lbl].IsExternal) && (Iter==0))
{
double Z=(meshnode[n[0]].y+meshnode[n[1]].y+meshnode[n[2]].y)/3. - extZo;
double kludge=(R*R+Z*Z)*extRi/(extRo*extRo*extRo);
meshele[i].mu1/=kludge;
meshele[i].mu2/=kludge;
}
// combine block matrices into global matrices;
for(j=0;j<3;j++)
for(k=0;k<3;k++){
Me[j][k]+= (Mx[j][k]/Re(El->mu2) + My[j][k]/Re(El->mu1) + Mxy[j][k] * Re(El->v12) + Mn[j][k]);
be[j]+=Mn[j][k]*L.V[n[k]];
}
for (j=0;j<3;j++){
for (k=j;k<3;k++)
L.Put(L.Get(n[j],n[k])-Me[j][k],n[j],n[k]);
L.b[n[j]]-=be[j];
}
}
// add in contribution from point currents;
for(i=0;i<NumNodes;i++)
if(meshnode[i].bc>=0)
{
r=meshnode[i].x;
L.b[i]+=(0.01*nodeproplist[meshnode[i].bc].Jr*2.*r);
}
// apply fixed boundary conditions at points;
for(i=0;i<NumNodes;i++)
{
if(fabs(meshnode[i].x)<(units[LengthUnits]*1.e-06)) L.SetValue(i,0.);
else
if(meshnode[i].bc >=0)
if((nodeproplist[meshnode[i].bc].Jr==0) &&
(nodeproplist[meshnode[i].bc].Ji==0))
L.SetValue(i,nodeproplist[meshnode[i].bc].Ar/c);
}
// apply fixed boundary conditions along segments;
for(i=0;i<NumEls;i++)
for(j=0;j<3;j++){
k=j+1; if(k==3) k=0;
if(meshele[i].e[j]>=0)
if(lineproplist[ meshele[i].e[j] ].BdryFormat==0)
{
if(Coords==0){
// first point on the side;
x=meshnode[meshele[i].p[j]].x;
y=meshnode[meshele[i].p[j]].y;
x/=units[LengthUnits]; y/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + x*lineproplist[s].A1 +
y*lineproplist[s].A2;
// just take ``real'' component.
a*=cos(lineproplist[s].phi*DEG);
if(x!=0) L.SetValue(meshele[i].p[j],a/c);
// second point on the side;
x=meshnode[meshele[i].p[k]].x;
y=meshnode[meshele[i].p[k]].y;
x/=units[LengthUnits]; y/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + x*lineproplist[s].A1 +
y*lineproplist[s].A2;
// just take``real'' component.
a*=cos(lineproplist[s].phi*DEG);
if (x!=0) L.SetValue(meshele[i].p[k],a/c);
}
else{
// first point on the side;
x=meshnode[meshele[i].p[j]].x;
y=meshnode[meshele[i].p[j]].y;
r=sqrt(x*x+y*y);
if((x==0)&&(y==0)) t=0;
else t=atan2(y,x)/DEG;
r/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + r*lineproplist[s].A1 +
t*lineproplist[s].A2;
a*=cos(lineproplist[s].phi*DEG); // just take ``real'' component.
if (x!=0) L.SetValue(meshele[i].p[j],a/c);
// second point on the side;
x=meshnode[meshele[i].p[k]].x;
y=meshnode[meshele[i].p[k]].y;
r=sqrt(x*x+y*y);
if((x==0) && (y==0)) t=0;
else t=atan2(y,x)/DEG;
r/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + r*lineproplist[s].A1 +
t*lineproplist[s].A2;
a*=cos(lineproplist[s].phi*DEG); // just take ``real'' component.
if (x!=0) L.SetValue(meshele[i].p[k],a/c);
}
}
}
// Apply any periodicity/antiperiodicity boundary conditions that we have
for(k=0;k<NumPBCs;k++)
{
if (pbclist[k].t==0) L.Periodicity(pbclist[k].x,pbclist[k].y);
if (pbclist[k].t==1) L.AntiPeriodicity(pbclist[k].x,pbclist[k].y);
}
// solve the problem;
for(j=0;j<NumNodes;j++) V_old[j]=L.V[j];
if (L.PCGSolve(Iter + bRestart)==FALSE) return FALSE;
if (LinearFlag==FALSE){
for(j=0,x=0,y=0;j<NumNodes;j++){
x+=(L.V[j]-V_old[j])*(L.V[j]-V_old[j]);
y+=(L.V[j]*L.V[j]);
}
if (y==0) LinearFlag=TRUE;
else{
lastres=res;
res=sqrt(x/y);
}
// relaxation if we need it
if(Iter>5)
{
if ((res>lastres) && (Relax>0.125)) Relax/=2.;
else Relax+= 0.1 * (1. - Relax);
for(j=0;j<NumNodes;j++) L.V[j]=Relax*L.V[j]+(1.0-Relax)*V_old[j];
}
// report some results
char outstr[256];
sprintf(outstr,"Newton Iteration(%i) Relax=%.4g",Iter,Relax);
TheView->SetDlgItemText(IDC_FRAME2,outstr);
j=(int) (100.*log10(res)/(log10(Precision)+2.));
if (j>100) j=100;
TheView->m_prog2.SetPos(j);
}
// nonlinear iteration has to have a looser tolerance
// than the linear solver--otherwise, things can't ever
// converge. Arbitrarily choose 100*tolerance.
if((res<100.*Precision) && Iter>0) LinearFlag=TRUE;
Iter++;
} while(LinearFlag==FALSE);
// convert answer back to Webers for plotting purposes.
for (i=0;i<NumNodes;i++){
L.b[i]=L.V[i]*c;
L.b[i]*=(meshnode[i].x*0.01*2*PI);
}
free(V_old);
if(NumCircProps>0){
free(CircInt1);
free(CircInt2);
free(CircInt3);
}
return TRUE;
}
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