High-order accurate implementation of solid wall boundary conditions in curved geometries.

*(English)*Zbl 1138.76403Summary: 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 |

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\textit{L. Krivodonova} and \textit{M. Berger}, J. Comput. Phys. 211, No. 2, 492--512 (2006; Zbl 1138.76403)

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##### References:

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