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Flow simulations on Cartesian grids involving complex moving geometries. (English) Zbl 0936.76040
Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. I. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 129, 315-324 (1999).
Summary: We describe a method to solve the compressible time-dependent Euler equations using Cartesian grids for domains involving fixed or moving geometries. We use the concept of a mirror flow extrapolation of a given solution over a reflecting wall, which may be curved or moving at a fixed or varying speed. We apply this mirror flow to a Cartesian grid method to calculate the cells along a reflecting boundary avoiding the “small-cell” problem. Numerical results are presented.
For the entire collection see [Zbl 0911.00028].

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)