👉 SIPHAM (Simplified Iterative Partition Histogram with Adaptive Mesh Refinement and Hybrid Adaptive Refinement) is a high-performance computational method used for solving partial differential equations (PDEs), particularly in fluid dynamics and turbulence modeling. It combines the strengths of structured and unstructured mesh refinement by iteratively partitioning the computational domain into smaller, adaptive meshes. The method starts with a coarse grid and progressively refines it in regions where the solution exhibits high gradients or complex behavior, such as near boundaries or shock waves. This adaptive refinement is guided by error estimates and mesh quality metrics, ensuring efficient use of computational resources while maintaining accuracy. SIPHAM also incorporates hybrid refinement strategies, allowing for both structured and unstructured mesh elements to be used flexibly, which enhances its applicability to a wide range of problems.
