Volume 2, Issue 6
A Cartesian Embedded Boundary Method for Hyperbolic Conservation Laws

B. Sjögreen and N. A. Petersson

Commun. Comput. Phys., 2 (2007), pp. 1199-1219.

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  • Abstract

We develop an embedded boundary finite difference technique for solving the compressible two- or three-dimensional Euler equations in complex geometries on a Cartesian grid. The method is second order accurate with an explicit time step determined by the grid size away from the boundary. Slope limiters are used on the embedded boundary to avoid non-physical oscillations near shock waves. We show computed examplesof supersonic flow past acylinder and comparewith resultscomputed on a body fitted grid. Furthermore, we discuss the implementation of the method for thin geometries, and show computed examples of transonic flow past an airfoil.

  • History

Published online: 2007-02

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