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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.

MSC:
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
Software:
HE-E1GODF
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