A level set approach for computing solutions to inviscid compressible flow with moving solid boundary using fixed Cartesian grids

A level set approach for computing solutions to inviscid compressible flow with moving solid surface is presented. The solid surface is considered to be sharp and is described as the zero level set of a smooth explicit function of space and time. The finite volume TVD-MacCormack's two-step procedure is used. The boundary conditions on the solid surface are easily implemented by defining the smooth level set function. The present treatment of the level set method allows the handling of fluid flows in the presence of irregularly shaped solid boundaries, escaping from the bookkeeping complexity in the so-called 'surface-tracking' method. Using the proposed numerical techniques, a two-dimensional numerical simulation is made to investigate the aerodynamic phenomena induced by two high-speed trains passing by each other in a tunnel. Copyright (C) 2001 John Wiley & Sons, Ltd.