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High-order accurate implementation of solid wall boundary conditions in curved geometries. (English) Zbl 1138.76403
Summary: We propose a new technique to implement solid wall boundary conditions for steady two-dimensional Euler equations for problems in curved geometries. The technique is to be used with high-order methods on unstructured, straight-sided element meshes. By modeling flow around a physical rather than computational geometry, significant improvement in quality of the solution is achieved. The technique does not require a complex reconstruction and is easy to implement. Examples are presented to demonstrate validity of the new approach.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
Full Text: DOI
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