An accuracy test of a Cartesian grid method for steady flow in complex geometries

We describe a. method to solve the inviscid compressible Euler equations using non-body-fitted Cartesian grids. We briefly survey the geometric procedures needed for the "grid generation" in this approach and show some Cartesian grids for three dimensional configurations. The major source of error in these methods is at the irregular boundary cells. This has motivated us to study various improvements in the numerical scheme (a Godunov method) on a model problem with smooth flow in two spa.ce dimensions.

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