Пример #1
0
int main() {

   //malha geometrica
   TPZGeoMesh *firstmesh = new TPZGeoMesh;
   firstmesh->SetName("Malha Geometrica : Nós e Elementos");
   firstmesh->NodeVec().Resize(4);
   TPZVec<REAL> coord(2),coordtrans(2);
   REAL ct,st,PI=3.141592654;
   cout << "\nEntre rotacao do eixo n1 (graus) -> ";
   REAL g;
   cin >> g;
   g = g*PI/180.;
   ct = cos(g);
   st = sin(g);
   //ct = 1.;
   //st = 0.;
   coord[0] = 0;
   coord[1] = 0;
   coordtrans[0] =  ct*coord[0]-st*coord[1];
   coordtrans[1] =  st*coord[0]+ct*coord[1];
   //nos geometricos
   firstmesh->NodeVec()[0].Initialize(coordtrans,*firstmesh);
   coord[0] = 5;
   coordtrans[0] =  ct*coord[0]-st*coord[1];
   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[1].Initialize(coordtrans,*firstmesh);
   coord[0] = 5;
   coord[1] = 5;
   coordtrans[0] =  ct*coord[0]-st*coord[1];
   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[2].Initialize(coordtrans,*firstmesh);
   coord[0] = 0;
   coordtrans[0] =  ct*coord[0]-st*coord[1];
   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[3].Initialize(coordtrans,*firstmesh);
/*
   TPZVec<int> nodeindexes(3);
   nodeindexes[0] = 0;
   nodeindexes[1] = 1;
   nodeindexes[2] = 2;
    //elementos geometricos
   TPZGeoElT2d *elg0 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
   nodeindexes[0] = 0;
   nodeindexes[1] = 2;
   nodeindexes[2] = 3;
   TPZGeoElT2d *elg1 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
   nodeindexes[0] = 0;
   nodeindexes[1] = 1;
   nodeindexes[2] = 2;
   TPZGeoElT2d *elg2 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
   nodeindexes[0] = 0;
   nodeindexes[1] = 2;
   nodeindexes[2] = 3;
   TPZGeoElT2d *elg3 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
*/
   TPZVec<int> nodeindexes(4);
   nodeindexes[0] = 0;
   nodeindexes[1] = 1;
   nodeindexes[2] = 2;
   nodeindexes[3] = 3;
    //elementos geometricos
   TPZGeoEl *elg0 = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);
   TPZGeoEl *elg1 = new TPZGeoElQ2d(nodeindexes,2,*firstmesh);
   TPZGeoEl *elg2 = new TPZGeoElQ2d(nodeindexes,3,*firstmesh);

   //Arquivos de saida
   ofstream outgm1("outgm1.dat");
   ofstream outcm1("outcm1.dat");
   ofstream outcm2("outcm2.dat");
   //montagem de conectividades entre elementos
   firstmesh->BuildConnectivity();
   //malha computacional
   TPZCompMesh *secondmesh = new TPZCompMesh(firstmesh);
   secondmesh->SetName("Malha Computacional : Conectividades e Elementos");
   //material
   TPZMaterial *pl = LerMaterial("placa1.dat");
   secondmesh->InsertMaterialObject(pl);
   pl = LerMaterial("placa2.dat");
   secondmesh->InsertMaterialObject(pl);
   pl = LerMaterial("placa3.dat");
   secondmesh->InsertMaterialObject(pl);
   //CC : condicões de contorno
   TPZBndCond *bc;
   REAL big = 1.e12;
   TPZFMatrix val1(6,6,0.),val2(6,1,0.);

   val1(0,0)=big;
   val1(1,1)=big;
   val1(2,2)=big;
   val1(3,3)=0.;
   val1(4,4)=0.;
   val1(5,5)=0.;

   TPZGeoElBC(elg0,5,-2,*firstmesh);
   bc = pl->CreateBC(-2,2,val1,val2);
   secondmesh->InsertMaterialObject(bc);


   TPZGeoElBC(elg0,6,-3,*firstmesh);
   bc = pl->CreateBC(-3,2,val1,val2);
   secondmesh->InsertMaterialObject(bc);

   val1(0,0)=0.;
   val1(1,1)=big;
   val1(2,2)=0.;
   val1(3,3)=big;
   val1(4,4)=0.;
   val1(5,5)=0.;

	TPZGeoElBC(elg0,4,-1,*firstmesh);
   bc = pl->CreateBC(-1,2,val1,val2);
   secondmesh->InsertMaterialObject(bc);

   val1(0,0)=big;
   val1(1,1)=0.;
   val1(2,2)=0.;
   val1(3,3)=0.;
   val1(4,4)=big;
   val1(5,5)=0.;

	TPZGeoElBC(elg0,7,-4,*firstmesh);
   bc = pl->CreateBC(-4,2,val1,val2);
   secondmesh->InsertMaterialObject(bc);

   //ordem de interpolacao
   int ord;
   cout << "Entre ordem 1,2,3,4,5 : ";
   cin >> ord;
//   TPZCompEl::gOrder = ord;
   cmesh.SetDefaultOrder(ord);
   //construção malha computacional
   TPZVec<int> csub(0);
   TPZManVector<TPZGeoEl *> pv(4);
   int n1=1,level=0;
   cout << "\nDividir ate nivel ? ";
   int resp;
   cin >> resp;
   int nelc = firstmesh->ElementVec().NElements();
   int el;
   TPZGeoEl *cpel;
   for(el=0;el<firstmesh->ElementVec().NElements();el++) {
     cpel = firstmesh->ElementVec()[el];
     if(cpel && cpel->Level() < resp)
		cpel->Divide(pv);

   }
   //analysis
   secondmesh->AutoBuild();
   secondmesh->AdjustBoundaryElements();
   secondmesh->InitializeBlock();
   secondmesh->Print(outcm1);
   TPZAnalysis an(secondmesh,outcm1);
   int numeq = secondmesh->NEquations();
   secondmesh->Print(outcm1);
   outcm1.flush();
   TPZVec<int> skyline;
   secondmesh->Skyline(skyline);
   TPZSkylMatrix *stiff = new TPZSkylMatrix(numeq,skyline);
   an.SetMatrix(stiff);
   an.Solver().SetDirect(ECholesky);
   secondmesh->SetName("Malha Computacional :  Connects e Elementos");
   // Posprocessamento
   an.Run(outcm2);
   TPZVec<char *> scalnames(5);
   scalnames[0] = "Mn1";
   scalnames[1] = "Mn2";
   scalnames[2] = "Sign1";
   scalnames[3] = "Sign2";
   scalnames[4] = "Deslocz";
   TPZVec<char *> vecnames(0);
   char plotfile[] =  "placaPos.pos";
   char pltfile[] =  "placaView.plt";
   an.DefineGraphMesh(2, scalnames, vecnames, plotfile);
   an.Print("FEM SOLUTION ",outcm1);
   an.PostProcess(2);
   an.DefineGraphMesh(2, scalnames, vecnames, pltfile);
   an.PostProcess(2);
   firstmesh->Print(outgm1);
   outgm1.flush();
   delete secondmesh;
   delete firstmesh;
   return 0;
}
Пример #2
0
int main() {

   //malha geometrica
   TPZGeoMesh *firstmesh = new TPZGeoMesh;
   firstmesh->SetName("Malha Geometrica : Nós e Elementos");
   firstmesh->NodeVec().Resize(10);
   TPZVec<REAL> coord(2);   //,coordtrans(2);
//   REAL ct,st,PI=3.141592654;
//   cout << "\nEntre rotacao do eixo n1 (graus) -> ";
//   REAL g;
//   cin >> g;
//   g = g*PI/180.;
//   ct = cos(g);
//   st = sin(g);
//ct = 1.;
//st = 0.;

   //nos geometricos

   //no 0
   coord[0] = 0;
   coord[1] = 0;
// coordtrans[0] =  ct*coord[0]-st*coord[1];
// coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[0].Initialize(coord,*firstmesh);

   //no 1
   coord[0] = 1.;
   coord[1] = 0;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[1].Initialize(coord,*firstmesh);

   //no 2
   coord[0] = 2.;
   coord[1] = 0.;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[2].Initialize(coord,*firstmesh);

   //no 3
   coord[0] = 3.;
   coord[1] = 0.;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[3].Initialize(coord,*firstmesh);

   //no 4
   coord[0] = 4;
   coord[1] = 0.;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[4].Initialize(coord,*firstmesh);

   //no 5
   coord[0] = 0;
   coord[1] = 1;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[5].Initialize(coord,*firstmesh);

   //no 6
   coord[0] = 1.;
   coord[1] = 1.;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[6].Initialize(coord,*firstmesh);

   //no 7
   coord[0] = 2.;
   coord[1] = 1.;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[7].Initialize(coord,*firstmesh);

   //no 8
   coord[0] = 3.;
   coord[1] = 1;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//  coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[8].Initialize(coord,*firstmesh);

   //no 9
   coord[0] = 4;
   coord[1] = 1;
//   coordtrans[0] =  ct*coord[0]-st*coord[1];
//   coordtrans[1] =  st*coord[0]+ct*coord[1];
   firstmesh->NodeVec()[9].Initialize(coord,*firstmesh);

   /*
   TPZVec<int> nodeindexes(3);
   nodeindexes[0] = 0;
   nodeindexes[1] = 1;
   nodeindexes[2] = 2;
    //elementos geometricos
   TPZGeoElT2d *elg0 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
   nodeindexes[0] = 0;
   nodeindexes[1] = 2;
   nodeindexes[2] = 3;
   TPZGeoElT2d *elg1 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
   nodeindexes[0] = 0;
   nodeindexes[1] = 1;
   nodeindexes[2] = 2;
   TPZGeoElT2d *elg2 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
   nodeindexes[0] = 0;
   nodeindexes[1] = 2;
   nodeindexes[2] = 3;
   TPZGeoElT2d *elg3 = new TPZGeoElT2d(nodeindexes,2,*firstmesh);
*/
   TPZVec<int> nodeindexes(4);
    //elementos geometricos
   TPZGeoEl *elg[4];

   nodeindexes[0] = 0;
   nodeindexes[1] = 1;
   nodeindexes[2] = 6;
   nodeindexes[3] = 5;
   elg[0] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);

   nodeindexes[0] = 1;
   nodeindexes[1] = 2;
   nodeindexes[2] = 7;
   nodeindexes[3] = 6;
   elg[1] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);

   nodeindexes[0] = 2;
   nodeindexes[1] = 3;
   nodeindexes[2] = 8;
   nodeindexes[3] = 7;
   elg[2] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);

   nodeindexes[0] = 3;
   nodeindexes[1] = 4;
   nodeindexes[2] = 9;
   nodeindexes[3] = 8;
   elg[3] = new TPZGeoElQ2d(nodeindexes,1,*firstmesh);

   //Arquivos de saida
   ofstream outgm1("outgm1.dat");
   ofstream outcm1("outcm1.dat");
   ofstream outcm2("outcm2.dat");

   //montagem de conectividades entre elementos
   firstmesh->BuildConnectivity();
   //malha computacional
   TPZCompMesh *secondmesh = new TPZCompMesh(firstmesh);
   secondmesh->SetName("Malha Computacional : Conectividades e Elementos");


   //material
   TPZMaterial *pl = LerMaterial("flavio.dat");
   secondmesh->InsertMaterialObject(pl);
//   pl = LerMaterial("placa2.dat");
//   secondmesh->InsertMaterialObject(pl);
//   pl = LerMaterial("placa3.dat");
//   secondmesh->InsertMaterialObject(pl);

   // carregamento hidrostatico no plano vertica xz
   pl->SetForcingFunction(PressaoHid);

   //CC : condicões de contorno
   TPZBndCond *bc;
   REAL big = 1.e12;
   TPZFMatrix val1(6,6,0.),val2(6,1,0.);

   // engastes nos lados 4 e 7 do elemento 0
   TPZGeoElBC(elg[0],4,-2,*firstmesh);
   TPZGeoElBC(elg[0],7,-2,*firstmesh);

   // engaste no lado 4 do elemento 1
   TPZGeoElBC(elg[1],4,-2,*firstmesh);

   // engaste no lado 4 do elemento 2
   TPZGeoElBC(elg[2],4,-2,*firstmesh);

   // engaste no lado 4 do elemento 3
   TPZGeoElBC(elg[3],4,-2,*firstmesh);

   // imposicao do valor zero associado a condicao -2 (engaste)
   bc = pl->CreateBC(-2,0,val1,val2);
   secondmesh->InsertMaterialObject(bc);

   // imposicao da condicao de simetria no lado 5 do elemento 4
   val1(0,0)=big;
   val1(1,1)=0.;
   val1(2,2)=0.;
   val1(3,3)=0.;
   val1(4,4)=big;
   val1(5,5)=big;
   TPZGeoElBC(elg[3],5,-3,*firstmesh);
   bc = pl->CreateBC(-3,2,val1,val2);
   secondmesh->InsertMaterialObject(bc);

   //ordem de interpolacao
   int ord;
   cout << "Entre ordem 1,2,3,4,5 : ";
   cin >> ord;
//   TPZCompEl::gOrder = ord;
   firstmesh.SetDefaultOrder(order);
   //construção malha computacional
   TPZVec<int> csub(0);
   TPZManVector<TPZGeoEl *> pv(4);
   int n1=1,level=0;
   cout << "\nDividir ate nivel ? ";
   int resp;
   cin >> resp;
   int nelc = firstmesh->ElementVec().NElements();
   int el;
   TPZGeoEl *cpel;
   for(el=0;el<firstmesh->ElementVec().NElements();el++) {
     cpel = firstmesh->ElementVec()[el];
     if(cpel && cpel->Level() < resp)
		cpel->Divide(pv);

   }
   cout << "\nDividir o elemento esquerdo superior quantas vezes? ";
   cin >> resp;
   cpel = firstmesh->ElementVec()[0];
   for(el=0; el<resp; el++) {
		cpel->Divide(pv);
		cpel = pv[3];
   }
   //analysis
   secondmesh->AutoBuild();
   firstmesh->Print(outgm1);
   outgm1.flush();
   secondmesh->AdjustBoundaryElements();
   secondmesh->InitializeBlock();
   secondmesh->Print(outcm1);
   TPZAnalysis an(secondmesh,outcm1);
   int numeq = secondmesh->NEquations();
   secondmesh->Print(outcm1);
   outcm1.flush();
   TPZVec<int> skyline;
   secondmesh->Skyline(skyline);
   TPZSkylMatrix *stiff = new TPZSkylMatrix(numeq,skyline);
   an.SetMatrix(stiff);
   an.Solver().SetDirect(ECholesky);
   secondmesh->SetName("Malha Computacional :  Connects e Elementos");
   // Posprocessamento
   an.Run(outcm2);
   TPZVec<char *> scalnames(5);
   scalnames[0] = "Mn1";
   scalnames[1] = "Mn2";
   scalnames[2] = "Vn1";
   scalnames[3] = "Vn2";
   scalnames[4] = "Deslocz";
   TPZVec<char *> vecnames(0);
   char plotfile[] =  "placaPos.pos";
   char pltfile[] =  "placaView.plt";
   an.DefineGraphMesh(2, scalnames, vecnames, plotfile);
   an.Print("FEM SOLUTION ",outcm1);
   an.PostProcess(3);
   an.DefineGraphMesh(2, scalnames, vecnames, pltfile);
   an.PostProcess(2);
   firstmesh->Print(outgm1);
   outgm1.flush();
   delete secondmesh;
   delete firstmesh;
   return 0;
}
Пример #3
0
int main() {

   //malha geometrica
   TPZGeoMesh *firstmesh = new TPZGeoMesh;
   firstmesh->NodeVec().Resize(3);
   TPZVec<REAL> coord(2);
   coord[0] = 0.;
   coord[1] = 0.;
   //nos geometricos
   firstmesh->NodeVec()[0].Initialize(coord,*firstmesh);
   coord[0] = 1.0;
   firstmesh->NodeVec()[1].Initialize(coord,*firstmesh);
   coord[1] = 1.0;
   firstmesh->NodeVec()[2].Initialize(coord,*firstmesh);
//   coord[0] = 0.0;
//   firstmesh->NodeVec()[3].Initialize(coord,*firstmesh);
   TPZVec<int> nodeindexes(3);//triangulo
   nodeindexes[0] = 0;//local[i] = global[i] , i=0,1,2,3
   nodeindexes[1] = 1;
   nodeindexes[2] = 2;
   //elementos geometricos
   TPZGeoElT2d *elq1 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);
 //orientacao local de um segundo elemento superposto
   int i,sen;;
   cout<<"Sentido local antihorario/horario : 0/1 ?  ";
   cin>>sen;
   cout<<"Entre primeiro no = 0,1,2 : ";
   cin>>i;
   if(sen==0) {//direito
        nodeindexes[0] = (0+i)%3;//local[i] = global[j] , i,j em {0,1,2}
        nodeindexes[1] = (1+i)%3;
        nodeindexes[2] = (2+i)%3;
	} else {//inverso
        nodeindexes[0] = (0+i)%3;//local[i] = global[j] , i,j em {0,1,2}
        nodeindexes[1] = (2+i)%3;
        nodeindexes[2] = (1+i)%3;
   }
/*   nodeindexes[0] = 1;//local[i] = global[i] , i=0,1,2,3
   nodeindexes[1] = 2;
   nodeindexes[2] = 3;*/
   TPZGeoElT2d *elq2 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);//segundo elemento superposto ao primeiro
/*   coord[1] = 0.0;
   coord[0] = 2.0;
   firstmesh->NodeVec()[4].Initialize(coord,*firstmesh);
   coord[1] = 1.0;
   firstmesh->NodeVec()[5].Initialize(coord,*firstmesh);
   nodeindexes[0] = 1;//local[i] = global[i] , i=0,1,2,3
   nodeindexes[1] = 4;
   nodeindexes[2] = 5;
   nodeindexes[3] = 2;
   TPZGeoElT2d *elq2 = new TPZGeoElT2d(nodeindexes,1,*firstmesh);    */
   //Arquivos de saida
	ofstream outgm1("outgm1.dat");
   ofstream outcm1("outcm1.dat");
	ofstream outcm2("outcm2.dat");
   //montagem de conectividades entre elementos
   firstmesh->BuildConnectivity();
 	firstmesh->Print(outgm1);
   outgm1.flush();
  	//teste de divisao geometrica : 1 elemento
   TPZVec<TPZGeoEl *> vecsub,vecsub1;
   elq1->Divide(vecsub);//divide 0
   elq2->Divide(vecsub);//divide 1
/*   vecsub[2]->Divide(vecsub1);//
   vecsub1[3]->Divide(vecsub1);
	vecsub[0]->Divide(vecsub1);//divide 1
   vecsub1[2]->Divide(vecsub1); */
 	firstmesh->Print(outgm1);
   outgm1.flush();
   //malha computacional
   TPZCompMesh *secondmesh = new TPZCompMesh(firstmesh);
   //material
   int matindex = secondmesh->MaterialVec().AllocateNewElement();
   TPZFMatrix k(1,1,1.),f(1,1,0.),c(1,2,1.);
   TPZMat2dLin * mat = new TPZMat2dLin(1);
   mat->SetMaterial(k,c,f);
   //mat->SetForcingFunction(force);
   mat->SetForcingFunction(derivforce);
   secondmesh->MaterialVec()[matindex] = mat;
   //CC : condicao de contorno
   //ordem de interpolacao
//   TPZCompEl::gOrder = 3;
   cmesh.SetDefaultOrder(3);
   //constroe a malha computacional
   secondmesh->AutoBuild();
   secondmesh->InitializeBlock();
   secondmesh->ComputeConnectSequence();
   secondmesh->Print(outcm1);
   outcm1.flush();
	//Resolucao do sistema
   TPZFMatrix Rhs(secondmesh->NEquations(),1),Stiff(secondmesh->NEquations(),secondmesh->NEquations()),U;
   Stiff.Zero();
   Rhs.Zero();
   secondmesh->Assemble(Stiff,Rhs);
   Rhs.Print("Rhs teste",outcm2);
   Stiff.Print("Bloco teste",outcm2);
	Rhs.Print("Computational Mesh -> fBlock",outcm2);
   TPZMatrixSolver solver(&Stiff);
   solver.SetDirect(ELU);
   solver.Solve(Rhs,U);
   U.Print("Resultado",outcm2);
   secondmesh->LoadSolution(U);
   secondmesh->Solution().Print("Mesh solution ",outcm2);
//   TPZElementMatrix ek,ef;
//   secondmesh->ElementVec()[0]->CalcStiff(ek,ef);
//	ek.fMat->Print();
//   ef.fMat->Print();
   delete secondmesh;
   delete firstmesh;
   return 0;
}