GHOST-CELL METHOD FOR INVISCID THREE-DIMENSIONAL FLOWS WITH MOVING BODY ON CARTESIAN GRIDS
Jianming Liu, Ning Zhao, Ou Hu
Abstract
Jianming Liu, Ning Zhao, Ou Hu
Abstract
This paper depicts a ghost cell method to solve the three dimensional compressible time-dependent Euler equations using Cartesian grids for static or moving bodies. In this method, there is no need for special treatment corresponding to cut cells, which complicate other Cartesian mesh methods, and the method avoids the small cell problem. As an application, we present some numerical results for a special moving body using this method, which demonstrates the efficiency of the proposed method.
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This paper depicts a ghost cell method to solve the three dimensional compressible time-dependent Euler equations using Cartesian grids for static or moving bodies. In this method, there is no need for special treatment corresponding to cut cells, which complicate other Cartesian mesh methods, and the method avoids the small cell problem. As an application, we present some numerical results for a special moving body using this method, which demonstrates the efficiency of the proposed method.
Key concepts: Inviscid flow, Cartesian coordinate system, Regular grid, Computer science, Euler equations, Euler's formula, Mathematical analysis, Euler angles