Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations
作者： Michel Lesoinne , Charbel Farhat
DOI: 10.1016/0045-7825(96)01028-6
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摘要: Abstract Numerical simulations of flow problems with moving boundaries commonly require the solution fluid equations on unstructured and deformable dynamic meshes. In this paper, we present a unified theory for deriving Geometric Conservation Laws (GCLs) such problems. We consider several popular discretization methods spatial approximation including Arbitrary Lagrangian-Eulerian (ALE) finite volume element schemes, space-time stabilized formulations. show that, except case method, GCLs impose important constraints algorithms employed time-integrating semi-discrete governing mesh motions. address impact these coupled aeroelastic problems, highlight importance an illustration their effect computation transient response flat panel in transonic flow.
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