Moving-coordinate method and its applications

Abstract

The moving-coordinate method presented by the authors is a method for computing flows about the moving body, where the coordinate systems are attached to individual moving bodies, so that each body could stand still with stationary grid. Here, as numerical methods for flows including moving boundaries, first, a review is given about the conservative form in general coordinates with implication of geometric conservation laws and theALE (Arbitrary Lagrangean-Eulerian) formulation, to show that the governing equations are derived from the former to the latter systematically. Then, the moving-coordinate method is derived. From the perspective given above, the advantages and disadvantages of this method are discussed. Finally, applications confirmed availability of the moving-coordinate method.