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package symjava.examples.fem;
import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.List;
import symjava.domains.Domain;
import symjava.domains.Domain2D;
import symjava.numeric.NumFunc;
import static symjava.symbolic.Symbol.x;
import static symjava.symbolic.Symbol.y;
/**
* Create a mesh from two files generated by Triangle
* (http://www.cs.cmu.edu/~quake/triangle.html)
*
* .node files: First line: <# of vertices> <dimension (must be 2)> <# of
* attributes> <# of boundary markers (0 or 1)> Remaining lines: <vertex #> <x>
* <y> [attributes] [boundary marker]
*
* .ele files: First line: <# of triangles> <nodes per triangle> <# of
* attributes> Remaining lines: <triangle #> <node> <node> <node> ...
* [attributes]
*
*/
public class Mesh2D extends Domain2D {
public List<Node> nodes = new ArrayList<Node>();
public List<Domain> eles = new ArrayList<Domain>();
public Mesh2D(String label) {
super(label, x, y);
}
public List<Domain> getSubDomains() {
return eles;
}
/**
* Read a mesh with Triangle format
*
* @param nodeFile
* @param eleFile
*/
public void readTriangleMesh(String nodeFile, String eleFile) {
this.readNodes(nodeFile);
this.readElements(eleFile);
}
public void readNodes(String nodeFile) {
FileInputStream in;
try {
in = new FileInputStream(nodeFile);
InputStreamReader reader = new InputStreamReader(in, "UTF-8");
BufferedReader br = new BufferedReader(reader);
String str = null;
int nNode = 0;
str = br.readLine();
String[] line = str.trim().split("(\\s)+");
nNode = Integer.valueOf(line[0]);
while ((str = br.readLine()) != null) {
// System.out.println(str);
if (str.startsWith("#"))
continue;
line = str.trim().split("(\\s)+");
int index = Integer.valueOf(line[0]);
double x = Double.valueOf(line[1]);
double y = Double.valueOf(line[2]);
int marker = Integer.valueOf(line[3]);
Node node = new Node(x, y);
node.setIndex(index);
node.setType(marker);
nodes.add(node);
}
br.close();
in.close();
if (nNode != nodes.size()) {
throw new RuntimeException("Number of nodes is not correct!");
}
} catch (Exception e) {
e.printStackTrace();
}
}
public void readElements(String eleFile) {
FileInputStream in;
try {
in = new FileInputStream(eleFile);
InputStreamReader reader = new InputStreamReader(in, "UTF-8");
BufferedReader br = new BufferedReader(reader);
String str = null;
int nEle = 0;
str = br.readLine();
String[] line = str.trim().split("(\\s)+");
nEle = Integer.valueOf(line[0]);
while ((str = br.readLine()) != null) {
// System.out.println(str);
if (str.startsWith("#"))
continue;
line = str.trim().split("(\\s)+");
int index = Integer.valueOf(line[0]);
int n1 = Integer.valueOf(line[1]);
int n2 = Integer.valueOf(line[2]);
int n3 = Integer.valueOf(line[3]);
Element e = new Element(String.format("E%d", index),
this.coordVars);
e.setIndex(index);
e.setNodes(nodes.get(n1 - 1), nodes.get(n2 - 1),
nodes.get(n3 - 1));
eles.add(e);
}
br.close();
in.close();
if (nEle != eles.size()) {
throw new RuntimeException("Number of elements is not correct!");
}
} catch (Exception e) {
e.printStackTrace();
}
}
public void writeTechplot(String fileName, double[][] vec) {
FileOutputStream out;
try {
File file = new File(fileName);
out = new FileOutputStream(file);
OutputStreamWriter writer = new OutputStreamWriter(out, "UTF-8");
PrintWriter br = new PrintWriter(writer);
int nNode = nodes.size();
int nElement = eles.size();
int nMaxNodes = 3;
String[] VNs = {"U", "V", "W", "U4", "U5", "U6", "U7", "U8", "U9" };
int nColumn = vec[0].length;
if (nMaxNodes == 3) {
StringBuilder sb = new StringBuilder();
sb.append("VARIABLES=\"X\",\"Y\"");
for (int ui = 0; ui < nColumn; ui++)
sb.append(String.format(",\"%s\"", VNs[ui]));
br.println(sb.toString());
if (nMaxNodes == 3)
br.println(String.format(
"ZONE F=FEPOINT ET=TRIANGLE N=%d E=%d", nNode,
nElement));
else if (nMaxNodes == 6)
br.println(String.format(
"ZONE F=FEPOINT ET=TRIANGLE N=%d E=%d", nNode,
4 * nElement));
for (int i = 0; i < nNode; i++) {
Node node = nodes.get(i);
sb.delete(0, sb.length());
sb.append(" ");
for (int ui = 0; ui < nColumn; ui++)
sb.append(String.format("%f ", vec[i][ui]));
br.println(String.format("%f %f %s",
node.coords[0], node.coords[1], sb.toString()));
}
for (int i = 0; i < nElement; i++) {
Element e = (Element) eles.get(i);
if (e.nodes.size() == 3) {
br.println(String.format("%d %d %d",
e.nodes.get(0).index, e.nodes.get(1).index,
e.nodes.get(2).index));
} else if (e.nodes.size() == 6) {
br.println(String.format("%d %d %d",
e.nodes.get(0).index, e.nodes.get(3).index,
e.nodes.get(5).index));
br.println(String.format("%d %d %d",
e.nodes.get(1).index, e.nodes.get(4).index,
e.nodes.get(3).index));
br.println(String.format("%d %d %d",
e.nodes.get(2).index, e.nodes.get(5).index,
e.nodes.get(4).index));
br.println(String.format("%d %d %d",
e.nodes.get(3).index, e.nodes.get(4).index,
e.nodes.get(5).index));
} else {
System.out.println("Error: TRIANGLE nodes number="
+ e.nodes.size());
}
}
} else if (nMaxNodes == 4) {
StringBuilder sb = new StringBuilder();
sb.append("VARIABLES=\"X\",\"Y\"");
for (int ui = 0; ui < nColumn; ui++)
sb.append(String.format(",\"%s\"", VNs[ui]));
br.println(sb.toString());
if (nMaxNodes == 4)
br.println(String.format(
"ZONE F=FEPOINT ET=QUADRILATERAL N=%d E=%d", nNode,
nElement));
else if (nMaxNodes == 8)
br.println(String.format(
"ZONE F=FEPOINT ET=QUADRILATERAL N=%d E=%d", nNode,
5 * nElement));
for (int i = 0; i < nNode; i++) {
Node node = nodes.get(i);
sb.delete(0, sb.length());
sb.append(" ");
for (int ui = 0; ui < nColumn; ui++)
sb.append(String.format("%f ", vec[i][ui]));
br.println(String.format("%f %f %s",
node.coords[0], node.coords[1], sb.toString()));
}
for (int i = 0; i < nElement; i++) {
Element e = (Element) eles.get(i);
if (e.nodes.size() == 4) {
br.println(String.format("%d %d %d %d",
e.nodes.get(0).index, e.nodes.get(1).index,
e.nodes.get(2).index, e.nodes.get(3).index));
} else if (e.nodes.size() == 8) {
br.println(String.format("%d %d %d %d",
e.nodes.get(0).index, e.nodes.get(4).index,
e.nodes.get(7).index, e.nodes.get(0).index));
br.println(String.format("%d %d %d %d",
e.nodes.get(1).index, e.nodes.get(5).index,
e.nodes.get(4).index, e.nodes.get(1).index));
br.println(String.format("%d %d %d %d",
e.nodes.get(2).index, e.nodes.get(6).index,
e.nodes.get(7).index, e.nodes.get(2).index));
br.println(String.format("%d %d %d %d",
e.nodes.get(3).index, e.nodes.get(7).index,
e.nodes.get(6).index, e.nodes.get(3).index));
br.println(String.format("%d %d %d %d",
e.nodes.get(4).index, e.nodes.get(5).index,
e.nodes.get(6).index, e.nodes.get(7).index));
} else if (e.nodes.size() == 3) {
br.println(String.format("%d %d %d %d",
e.nodes.get(0).index, e.nodes.get(1).index,
e.nodes.get(2).index, e.nodes.get(0).index));
} else {
System.out.println("Error: QUADRILATERAL nodes number="
+ e.nodes.size());
}
}
}
br.close();
out.close();
} catch (Exception e) {
e.printStackTrace();
}
}
public void readGridGenMesh(String file) {
FileInputStream in;
try {
in = new FileInputStream(file);
InputStreamReader reader = new InputStreamReader(in,"UTF-8");
BufferedReader br = new BufferedReader(reader);
String str = null;
int nNode = 0;
int nElement = 0;
while((str = br.readLine()) != null){
//System.out.println(str);
if(str.startsWith("#")) continue;
String[] line = str.trim().split("(\\s)+");
if(nNode == 0) {
nNode = Integer.valueOf(line[0]);
nElement = Integer.valueOf(line[1]);
} else {
if(nodes.size() < nNode) {
int index = Integer.valueOf(line[0]);
double x = Double.valueOf(line[1]);
double y = Double.valueOf(line[2]);
Node node = new Node(x, y);
node.setIndex(index);
nodes.add(node);
} else if(eles.size() < nElement) {
String type = line[2];
Element ele = new Element(String.format("E%d",eles.size()), this.coordVars);
if(type.equalsIgnoreCase("tri")) {
ele.setNodes(
nodes.get(Integer.valueOf(line[3])-1),
nodes.get(Integer.valueOf(line[4])-1),
nodes.get(Integer.valueOf(line[5])-1)
);
ele.nodes = adjustVerticeToCounterClockwise(ele.nodes);
eles.add(ele);
} else if(type.equalsIgnoreCase("quad")) {
ele.setNodes(
nodes.get(Integer.valueOf(line[3])-1),
nodes.get(Integer.valueOf(line[4])-1),
nodes.get(Integer.valueOf(line[5])-1),
nodes.get(Integer.valueOf(line[6])-1)
);
eles.add(ele);
}
}
}
}
br.close();
in.close();
} catch (Exception e) {
e.printStackTrace();
}
}
public List<Node> adjustVerticeToCounterClockwise(List<Node> vertices) {
double area = getTriangleArea(vertices);
if(area < 0) {
System.out.println("adjustVerticeToCounterClockwise: area="+area);
List<Node> tmp = new ArrayList<Node>();
int n = vertices.size();
for(int i=n-1; i>0; i--) {
tmp.add(vertices.get(i));
}
return tmp;
}
return vertices;
}
public static double getTriangleArea(List<Node> vertices) {
double area = 0.0;
double x1 = vertices.get(0).coords[0] , y1 = vertices.get(0).coords[1] ;
double x2 = vertices.get(1).coords[0] , y2 = vertices.get(1).coords[1] ;
double x3 = vertices.get(2).coords[0] , y3 = vertices.get(2).coords[1] ;
area = ( (x2*y3 - x3*y2) - (x1*y3 - x3*y1) + (x1*y2 - x2*y1) ) / 2.0;
return area;
}
/**
* Need a function as parameter served as a marker function
*
* If the returned value of func(x,y) > 0, the edge that contains the node (x,y) will be returned and
* the type of the node (x,y) is marked as the return value
*/
@Override
public Domain getBoundary(NumFunc<?> func) {
Mesh2DBoundary rlt = new Mesh2DBoundary(this.label+"_Boundary("+func.getLabel()+")");
rlt.parent = this;
for(int i=0; i<eles.size(); i++) {
Element e = (Element)eles.get(i);
List<Node> nodes = e.nodes;
for(int j=0; j<nodes.size(); j++) {
Node n = nodes.get(j);
Integer type = (Integer) func.apply(n.coords);
if(type > 0) n.type = type;
}
if(nodes.size() == 3) {
Node n1 = nodes.get(0);
Node n2 = nodes.get(1);
Node n3 = nodes.get(2);
Integer t1 = (Integer)func.apply(n1.coords);
Integer t2 = (Integer)func.apply(n2.coords);
Integer t3 = (Integer)func.apply(n3.coords);
if(t1 > 0 && t2 >0) {
rlt.eles.add(new Element(String.format("EB%d%d",n1.getIndex(), n2.getIndex()), x).setNodes(n1, n2));
}
if(t2 > 0 && t3 >0) {
rlt.eles.add(new Element(String.format("EB%d%d",n2.getIndex(), n3.getIndex()), x).setNodes(n2, n3));
}
if(t3 > 0 && t1 >0) {
rlt.eles.add(new Element(String.format("EB%d%d",n3.getIndex(), n1.getIndex()), x).setNodes(n3, n1));
}
} else {
throw new RuntimeException("Not supported now!");
}
}
return rlt;
}
}