Convergence Acceleration of an Upwind Least Squares Finite Difference based Meshless Solver

摘要

One of the important trends in the present day CFD research is the development of new class of flow solvers called meshless solvers. All that this class of solvers require is a distribution of points in the computational domain. The development of upwind least squares finite difference method can be considered as a landmark event in the advances being made in the area of meshless solvers. In this paper, we propose an implicit time integration methodology for upwind least squares finite difference procedure. The idea of matrix-free implicit procedure in the framework of finite volume solver has been exploited in the present work to obtain a cheap and robust implicit time integration procedure. The present formulation shows excellent convergence acceleration over the explicit upwind least squares finite difference procedure.