C++ Large 2D array (on the heap) crashes the application

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It looks like you’re using too much memory.
So, if operator new can’t allocate memory for some reasons (it’s not enough of free memory, for example), it throws an exception std::bad_alloc.
Use try-catch block to detect thrown exceptions, like this:

try{
   float **heights;
   heights = new float*[numVertices];
   for (int i = 0; i < numVertices; i++){
      heights[i] = new float[numVertices];
   }
}
catch(std::exception exc){ std::cout << exc.what() << std::endl; }
system("pause");

Also, read some articles about std::bad_alloc and operator new

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