6533b7defe1ef96bd1275b98

RESEARCH PRODUCT

High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles

Antonio BaezaDavid ZoríoPep Mulet

subject

Conservation lawExtrapolationFinite differenceBoundary (topology)Context (language use)010103 numerical & computational mathematics01 natural sciencesNACA airfoil010101 applied mathematicsApplied mathematicsPolygon meshBoundary value problem0101 mathematicsMathematics

description

Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary conditions have been proven to increase significantly the resolution of the numerical solutions. In this paper a finite-difference WENO scheme is combined with a high order boundary extrapolation technique at ghost cells to solve problems involving NACA airfoil profiles. The results obtained are comparable with those obtained through other techniques involving unstructured meshes.

https://doi.org/10.1007/978-3-319-63082-3_6