Init_Solution_mult (initialize on subdomains) + finer mesh

generate_mesh/coffee_cup.m

@@ -34,7 +34,7 @@ g=[2 -diam_bottom/2 diam_bottom/2  floor_level floor_level  1  0;        % #vert
    ]';
 
 
-[p,e,t] = initmesh(g,'hmax',10); 
+[p,e,t] = initmesh(g,'hmax',1.5); 
 pdemesh(p,e,t)
 
 

mgrid_2/geom.cpp

@@ -67,6 +67,30 @@ void Mesh::SetValues(std::vector<double> &vvec,
     }
 }
 
+void Mesh::Init_Solution_mult(std::vector<double> &v,
+                              int target_sd,
+                              const function<double(double, double)> &func) const
+{
+    assert(2==Ndims());
+    int const nnode = Nnodes();            // number of vertices in mesh
+    assert( nnode == static_cast<int>(v.size()) );
+
+    for (int e = 0; e < Nelems(); ++e)      // loop over all elements
+    {  
+        int sd = ElementSubdomains[e];      // get subdomain of element e
+        if (sd == target_sd)                // if is target subdomain then
+        {
+            int base = e * _nvert_e;        // get starting index of element in coordinate vector
+            for (int k = 0; k < _nvert_e; ++k)      // loop over vertices of element
+            {
+                int node = _ia[base + k];               // global index of vertex
+                v[node] = func( _xc[2 * node], _xc[2 * node + 1] ); // set function
+            }
+        }
+    }
+}
+
+
 
 void Mesh::Debug() const
 {
@@ -958,10 +982,6 @@ Mesh::Mesh(std::string const &fname)
     //cout << " P E R M U T E D !" << endl;
 }
 
-
-    vector<int> ElementSubdomains;
-
-
 Mesh::Mesh(std::string const &filename, std::string const &subdomain_filename) : Mesh(filename)
 {
     ElementSubdomains = ReadElementSubdomains(subdomain_filename);

mgrid_2/geom.h

@@ -199,6 +199,17 @@ public:
         const std::function<double(double, double, double)> &func1,
         const std::function<double(double, double, double)> &func2 ) const;
 
+    /**
+     * Initialize values in vector valued vector @p v via functions @p func?(x,y) only
+     * on elements (all their vertices) that belong to subdomain @p target_sd
+     * @param[in] v  vector
+     * @param[in] target_sd  integer of target subdomain.
+     * @param[in] func  function of (x,y) returning a double value.
+     */
+    void Init_Solution_mult(std::vector<double> &v,
+                                int target_sd,
+                                const std::function<double(double, double)> &func) const;
+
     /**
      * Prints the information for a finite element mesh
      */

mgrid_2/main.cpp

@@ -57,8 +57,9 @@ int main(int argc, char **argv )
 
     // Initialize temperature
     vector<double> uv(SK.Nrows(), 0.0);    // temperature
-    mesh.SetValues(uv, [](double x, double y) -> double { return 18; } ); // initial temperature of every domain 
-
+    mesh.Init_Solution_mult(uv, 0, [](double x, double y) -> double { return 18; });    // mug
+    mesh.Init_Solution_mult(uv, 1, [](double x, double y) -> double { return 80; });    // fluid
+    mesh.Init_Solution_mult(uv, 2, [](double x, double y) -> double { return 18; });    // air
 
     // Apply BC
     SK.ApplyDirichletBC(uv, fv);
@@ -70,7 +71,7 @@ int main(int argc, char **argv )
 
     auto t3 = system_clock::now(); // start timer
 
-    JacobiSolve(SK, fv, uv );          // solve the system of equations
+    // JacobiSolve(SK, fv, uv );          // solve the system of equations
 
     auto t4 = system_clock::now();  // stop timer
     auto duration = duration_cast<microseconds>(t4 - t3);        // duration in microseconds