DNS of the Incompressible Flows Around a Circular Cylinder Using Cartesian Grid Approach with Virtual Boundary. 2nd Report. Introduction of Solution-Adaptive Mesh Refinement.

Abstract

In the first report, the Cartesian grid approach with virtual boundary method was validated for applying to the DNSs of the incompressible flows around a circular cylinder. The aims of this report are to introduce the solution-adaptive mesh refinement and to develop the more effective scheme. The computational Cartesian grid is generated by using the Adaptive Mesh Refinement (AMR) approach. The DNSs of the steady and unsteady incompressible flows around a circular cylinder are considered in order to compare with the results in the first reporrt. The present solution-adaptive mesh refinement approach gives the reliable solutions and we can achieve successfully that both number of total grid points and computational time are reduced to 2/3 of the original Cartesian grid approach with the virtual boundary method.