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An adaptive Cartesian grid method for unsteady compressible flow in irregular regions. (English) Zbl 0842.76056
The authors describe an explicit adaptive Cartesian grid method for the solution of the Euler equations for two- and three-dimensional compressible flows in irregular domains. In each cell the surface elements of the body are treated as an interface. A single grid algorithm and a coupling with a mesh refinement scheme are presented, and results are shown for comparison with a Prandtl-Meyer flow, an unsteady shock reflection, an axisymmetric flow past a cone, and a three-dimensional flow past a cone-cylinder combination. The paper ends with an outlook on future work, in which a method is sketched out, through which current limitations on geometric complexities can be overcome.
Reviewer: E.Krause (Aachen)

76M20 Finite difference methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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