Generation of Numerical Simulation Grids Using MATLAB

This numerical simulation program utilizes MATLAB for grid generation. The implementation typically involves functions like meshgrid for creating structured grids or delaunayTriangulation for unstructured mesh generation. To improve simulation accuracy, we implement grid refinement and densification algorithms.

The key advantage of this approach lies in achieving higher precision when modeling real-world scenarios, leading to more accurate results. Through grid refinement techniques such as adaptive mesh refinement (AMR) and local grid encryption around critical regions, we can better capture problem details and minimize numerical errors. These methods often involve recursive subdivision algorithms or error estimation-based refinement criteria.

Therefore, the MATLAB-based numerical simulation program effectively handles grid generation, refinement, and densification processes. This is typically achieved through customized functions implementing interpolation methods and topology management, ultimately enhancing simulation accuracy and reliability while maintaining computational efficiency.