From 109958957fde31d879be122a7ed1e56da50eb27a Mon Sep 17 00:00:00 2001 From: Yi Zhang Date: Sat, 19 Feb 2022 10:51:15 +0800 Subject: [PATCH] tmp update --- README.md | 12 + cube.geo | 24 + cube.msh | 1503 ++++++++++++++++++++++++++++++++++++++++++++++++ equations.pptx | Bin 0 -> 334466 bytes main.cpp | 42 ++ main_msh.cpp | 138 +++++ out.txt | Bin 0 -> 63084 bytes out_msh.txt | Bin 0 -> 63070 bytes tetra_vz.h | 244 ++++++++ 9 files changed, 1963 insertions(+) create mode 100644 README.md create mode 100644 cube.geo create mode 100644 cube.msh create mode 100644 equations.pptx create mode 100644 main.cpp create mode 100644 main_msh.cpp create mode 100644 out.txt create mode 100644 out_msh.txt create mode 100644 tetra_vz.h diff --git a/README.md b/README.md new file mode 100644 index 0000000..ae12d0d --- /dev/null +++ b/README.md @@ -0,0 +1,12 @@ +### Compile + +```shell +g++ main.cpp --std=c++11 -o a.exe +``` + +### Run + +```shell +./a.exe +``` + diff --git a/cube.geo b/cube.geo new file mode 100644 index 0000000..9c5fe79 --- /dev/null +++ b/cube.geo @@ -0,0 +1,24 @@ +//+ +Point(1) = {40, 40, -20, 5}; +//+ +Point(2) = {60, 40, -20, 5}; +//+ +Point(3) = {60, 60, -20, 5}; +//+ +Point(4) = {40, 60, -20, 5}; +//+ +Line(1) = {4, 1}; +//+ +Line(2) = {1, 2}; +//+ +Line(3) = {2, 3}; +//+ +Line(4) = {3, 4}; +//+ +Curve Loop(1) = {1, 2, 3, 4}; +//+ +Plane Surface(1) = {1}; +//+ +Extrude {0, 0, -40} { + Surface{1}; +} diff --git a/cube.msh b/cube.msh new file mode 100644 index 0000000..34fd66c --- /dev/null +++ b/cube.msh @@ -0,0 +1,1503 @@ +$MeshFormat +2.2 0 8 +$EndMeshFormat +$Nodes +247 +1 40 40 -20 +2 60 40 -20 +3 60 60 -20 +4 40 60 -20 +5 40 60 -60 +6 40 40 -60 +7 60 40 -60 +8 60 60 -60 +9 40 55 -20 +10 40 50 -20 +11 40 45 -20 +12 45 40 -20 +13 50 40 -20 +14 55 40 -20 +15 60 45 -20 +16 60 50 -20 +17 60 55 -20 +18 55 60 -20 +19 50 60 -20 +20 45 60 -20 +21 40 55 -60 +22 40 50 -60 +23 40 45 -60 +24 45 40 -60 +25 50 40 -60 +26 55 40 -60 +27 60 45 -60 +28 60 50 -60 +29 60 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t.rho = 1.0; + for (int i = 0; i < 4; i++) + { + t.vec_ptr[i] = &p[i]; + } + t.initialize_tensors(); + + // Declare the observation stations + double xmin = 0, dx = 2.5; // 41 + double ymin = 0, dy = 2.5; // 41 + point3d obs[1681]; // 41*41 + for (int i = 0; i < 41; i++) + { + for (int j = 0; j < 41; j++) + { + obs[i*41+j].x = xmin + dx*j; + obs[i*41+j].y = ymin + dy*i; + obs[i*41+j].z = 0.0; + } + } + + // Calculate the gravity values + for (int i = 0; i < 1681; i++) + { + std::cout << obs[i].x << " " << obs[i].y << " "; + std::cout << tetra_vz(&t, &obs[i]) << std::endl; + } + return 0; +} \ No newline at end of file diff --git a/main_msh.cpp b/main_msh.cpp new file mode 100644 index 0000000..cd382ff --- /dev/null +++ b/main_msh.cpp @@ -0,0 +1,138 @@ +#include "tetra_vz.h" +#include "string" +#include "sstream" +#include "iostream" +#include "fstream" + +std::stringstream str2ss(std::string in) +{ + std::stringstream tmp_ss; + tmp_ss.clear(); + tmp_ss.str(in); + return tmp_ss; +} + +int main(int argc, char *argv[]) +{ + int pnum, tnum; // Size of the vertexes and tetrahedrons + point3d *modelp = nullptr; // vertex class + tetrahedron *modelt = nullptr; // tetrahedron class + + // file object + std::ifstream infile("cube.msh"); + + int tmp_i; + int tmp_tnum; + std::string line_str; + std::stringstream line_ss; + while (getline(infile, line_str)) + { + if (line_str == "$Nodes") // Read vertexes + { + // Get vertex size firstly + getline(infile, line_str); + line_ss = str2ss(line_str); + line_ss >> pnum; + // Allocate memories + modelp = new point3d [pnum]; + for (int i = 0; i < pnum; i++) + { + getline(infile, line_str); + line_ss = str2ss(line_str); + line_ss >> tmp_i >> modelp[i].x >> modelp[i].y >> modelp[i].z; + } + } + else if (line_str == "$Elements") // Read tetrahedral indexes + { + // Get tetrahedron's sizes + getline(infile, line_str); + line_ss = str2ss(line_str); + line_ss >> tmp_tnum; + tnum = tmp_tnum; + + for (int i = 0; i < tmp_tnum; i++) + { + getline(infile, line_str); + line_ss = str2ss(line_str); + line_ss >> tmp_i >> tmp_i; + if (tmp_i != 4) // The tag for tetrahedron is 4 + { + tnum--; + } + else break; + } + + // Allocate memories + modelt = new tetrahedron [tnum]; + + line_ss = str2ss(line_str); + + for (int j = 0; j < 5; j++) // Skip the first 5 numbers + line_ss >> tmp_i; + for (int j = 0; j < 4; j++) + { + line_ss >> tmp_i; + modelt[0].vec_ptr[j] = &modelp[tmp_i-1]; + } + + for (int i = 1; i < tnum; i++) + { + getline(infile, line_str); + line_ss = str2ss(line_str); + + for (int j = 0; j < 5; j++) // Skip the first 5 numbers + line_ss >> tmp_i; + for (int j = 0; j < 4; j++) + { + line_ss >> tmp_i; + modelt[i].vec_ptr[j] = &modelp[tmp_i-1]; + } + } + } + } + + infile.close(); + + // Output for hunman validation + std::clog << "node number = " << pnum << std::endl; + std::clog << "tetra number = " << tnum << std::endl; + + // Set tetrahedron's density and initialize it + for (int i = 0; i < tnum; i++) + { + modelt[i].rho = 1.0; + modelt[i].initialize_tensors(); + } + + // Declare observation stations + double xmin = 0, dx = 2.5; // 41 + double ymin = 0, dy = 2.5; // 41 + point3d obs[1681]; // 41*41 + for (int i = 0; i < 41; i++) + { + for (int j = 0; j < 41; j++) + { + obs[i*41+j].x = xmin + dx*j; + obs[i*41+j].y = ymin + dy*i; + obs[i*41+j].z = 0.0; + } + } + + // Calculate the gravity value + double sum; + for (int i = 0; i < 1681; i++) + { + std::cout << obs[i].x << " " << obs[i].y << " "; + + sum = 0.0; + for (int t = 0; t < tnum; t++) + { + sum += tetra_vz(&modelt[t], &obs[i]); + } + std::cout << sum << std::endl; + } + + if (modelp != nullptr) delete[] modelp; + if (modelt != nullptr) delete[] modelt; + return 0; +} \ No newline at end of file diff --git a/out.txt b/out.txt new file mode 100644 index 0000000000000000000000000000000000000000..06669ec99d3ee0c354ce52d42ee957e3c13dd81d GIT binary patch literal 63084 zcmaLdTXG;vjwIOp9+BC@te_>U^5$#*`|56N+P 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zy&v%}wPF2(r*FU3hbQWymkRO3(G4&Z(X&b{3V%3T8Rh5C+Ur`eS{UybckQKOJds(; zR*gkoNW6Hb?7yikCQqx&j-$|Z|JaIZ{ zsS2ebPYicj#7*mc@{5z5?(V_qe(7loPIlE(A5xLk*YtxPC1^oa*xuDCx)7L zyiPY3*RhvsJTaNaJ6$|+Srbx>#dLk0UOaJGt5S=_blsm;JaO1^4@oH&)BSil@x*0s zOD7fs0-X>~oJu@#*R@iJMmPe;UZ)UGWOAX@VKI1{_c*5rPh_7M{M^64bN>Gac};pp literal 0 HcmV?d00001 diff --git a/tetra_vz.h b/tetra_vz.h new file mode 100644 index 0000000..d416666 --- /dev/null +++ b/tetra_vz.h @@ -0,0 +1,244 @@ +#ifndef _TETRA_VZ_H +#define _TETRA_VZ_H + +#include "cmath" + +#define ZERO 1e-20 +#define G0 6.67408e-11 + +/** + * Define the point structure in 3D space + */ + +struct point3d +{ + double x, y, z; + double module() const; // module + point3d normal() const; // normal vector +}; + +double point3d::module() const +{ + return sqrt(x*x + y*y + z*z); +} + +point3d point3d::normal() const +{ + point3d nor_v; + double length = module(); + if (length <= ZERO) + { + nor_v.x = nor_v.y = nor_v.z = 0.0; + } + else + { + nor_v.x = x/length; + nor_v.y = y/length; + nor_v.z = z/length; + } + return nor_v; +} + +point3d operator+(const point3d &a, const point3d &b) // Add +{ + point3d m; + m.x = a.x+b.x; + m.y = a.y+b.y; + m.z = a.z+b.z; + return m; +} + +point3d operator-(const point3d &a, const point3d &b) // Minus +{ + point3d m; + m.x = a.x-b.x; + m.y = a.y-b.y; + m.z = a.z-b.z; + return m; +} + +point3d operator*(double scale, const point3d &b) // Multiply +{ + point3d m; + m.x = scale*b.x; + m.y = scale*b.y; + m.z = scale*b.z; + return m; +} + +double dot(const point3d &a, const point3d &b) // Dot +{ + return a.x*b.x+a.y*b.y+a.z*b.z; +} + +double distance(const point3d &a, const point3d &b) // Distance +{ + return (a - b).module(); +} + +point3d cross(const point3d &a, const point3d &b) // Cross +{ + point3d v; + v.x = a.y*b.z-a.z*b.y; + v.y = a.z*b.x-a.x*b.z; + v.z = a.x*b.y-a.y*b.x; + if (fabs(v.x) <= ZERO) v.x = 0; + if (fabs(v.y) <= ZERO) v.y = 0; + if (fabs(v.z) <= ZERO) v.z = 0; + return v; +} + +/** + * Define the tensor structure + */ + +struct tensor +{ + double val[3][3]; +}; + +tensor kron(const point3d &a, const point3d &b) // tensor product +{ + tensor t; + t.val[0][0]=a.x*b.x; t.val[0][1]=a.x*b.y; t.val[0][2]=a.x*b.z; + t.val[1][0]=a.y*b.x; t.val[1][1]=a.y*b.y; t.val[1][2]=a.y*b.z; + t.val[2][0]=a.z*b.x; t.val[2][1]=a.z*b.y; t.val[2][2]=a.z*b.z; + return t; +} + +/** + * Define the tetrahedron structure + * + * regular type of tetrahedron + * 3 + * /|\ + * / | \ y + * z / | \ / + * | / 1 \ + * | / / \ \ + * |/ / \ \ + * 0-------------2----> x + * + * triangle list (anti-clockwise) + * 0 1 2 + * 0 2 3 + * 0 3 1 + * 1 3 2 + * + * inverse type of tetrahedron + * 3 + * /|\ + * / | \ y + * z / | \ / + * | / 2 \ + * | / / \ \ + * |/ / \ \ + * 0-------------1----> x + * + * triangle list (anti-clockwise) + * 0 1 3 + * 0 2 1 + * 0 3 2 + * 1 2 3 + */ +static int regular_order[12] = {0,1,2,0,2,3,0,3,1,1,3,2}; +static int inverse_order[12] = {0,1,3,0,2,1,0,3,2,1,2,3}; + +struct tetrahedron +{ + bool regular_type; + point3d *vec_ptr[4]; + tensor F[4]; + tensor E[12]; + double rho; + double edglen[12]; + void initialize_tensors(); +}; + +void tetrahedron::initialize_tensors() +{ + point3d v1, v2, v3, nf, ne; + + v1 = *vec_ptr[1] - *vec_ptr[0]; + v2 = *vec_ptr[2] - *vec_ptr[0]; + v3 = *vec_ptr[3] - *vec_ptr[0]; + + int *triangle_order; + if (dot(v3, cross(v1, v2)) <= 0.0) + { + regular_type = true; + triangle_order = regular_order; + } + else + { + regular_type = false; + triangle_order = inverse_order; + } + + for (int i = 0; i < 4; i++) + { + v1 = *vec_ptr[triangle_order[1+i*3]] - *vec_ptr[triangle_order[i*3]]; + v2 = *vec_ptr[triangle_order[2+i*3]] - *vec_ptr[triangle_order[i*3]]; + nf = cross(v1, v2).normal(); + F[i] = kron(nf, nf); + + for (int j = 0; j < 3; j++) + { + edglen[j+i*3] = distance(*vec_ptr[triangle_order[j+i*3]], *vec_ptr[triangle_order[(j+1)%3+i*3]]); + + v3 = *vec_ptr[triangle_order[(j+1)%3+i*3]] - *vec_ptr[triangle_order[j+i*3]]; + ne = cross(v3, nf).normal(); + E[j+i*3] = kron(nf, ne); + } + } + return; +} + +double tetra_vz(tetrahedron *ele_ptr, point3d *op_ptr) +{ + int f,e; + double Le,wf; + double dv1,dv2; + double face_sum,edge_sum; + point3d re; + point3d r_ijk[3]; + double L_ijk[3]; + + int *triangle_order; + if (ele_ptr->regular_type) + triangle_order = regular_order; + else + triangle_order = inverse_order; + + face_sum = edge_sum = 0.0; + for (f = 0; f < 4; f++) + { + r_ijk[0] = *ele_ptr->vec_ptr[triangle_order[3*f]] - *op_ptr; + r_ijk[1] = *ele_ptr->vec_ptr[triangle_order[3*f+1]] - *op_ptr; + r_ijk[2] = *ele_ptr->vec_ptr[triangle_order[3*f+2]] - *op_ptr; + + L_ijk[0] = r_ijk[0].module(); + L_ijk[1] = r_ijk[1].module(); + L_ijk[2] = r_ijk[2].module(); + + wf =2*atan2(dot(r_ijk[0], cross(r_ijk[1],r_ijk[2])), + L_ijk[0]*L_ijk[1]*L_ijk[2] + L_ijk[0]*dot(r_ijk[1],r_ijk[2]) + + L_ijk[1]*dot(r_ijk[2],r_ijk[0]) + L_ijk[2]*dot(r_ijk[0],r_ijk[1])); + + face_sum += (ele_ptr->F[f].val[2][0]*r_ijk[0].x + ele_ptr->F[f].val[2][1]*r_ijk[0].y + ele_ptr->F[f].val[2][2]*r_ijk[0].z) * wf; + + for (e = 0; e < 3; e++) + { + dv1 = distance(*ele_ptr->vec_ptr[triangle_order[e+3*f]], *op_ptr); + dv2 = distance(*ele_ptr->vec_ptr[triangle_order[(e+1)%3+3*f]], *op_ptr); + + re = 0.5*(*ele_ptr->vec_ptr[triangle_order[e+3*f]] + *ele_ptr->vec_ptr[triangle_order[(e+1)%3+3*f]]) - *op_ptr; + Le = log((dv1+dv2+ele_ptr->edglen[e+3*f])/(dv1+dv2-ele_ptr->edglen[e+3*f])); + + edge_sum += (ele_ptr->E[e+3*f].val[2][0]*re.x + ele_ptr->E[e+3*f].val[2][1]*re.y + ele_ptr->E[e+3*f].val[2][2]*re.z) * Le; + } + } + return 1.0e+8*G0*(ele_ptr->rho)*(edge_sum - face_sum); +} + +#endif // _TETRA_VZ_H \ No newline at end of file