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

Authors:
Lilia Krivodonova;Marsha Berger
Affiliations:
Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, NY 10012, United States;Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, NY 10012, United States
Venue:
Journal of Computational Physics
Year:
2006

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Abstract

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.