Xiao-Rui Xu

An energy stable and accuracy-preserving finite volume scheme based on the SAV method with application to wall-distance computation

A novel semi-implicit second-order finite volume scheme integrating the scalar auxiliary variable (SAV) approach is proposed for solving the pseudo-time Eikonal equation in wall-distance computation. Unconditional energy stability under zero boundary conditions is rigorously proved, eliminating the dependence of the ti...