An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows
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An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flowsData
2018Centro/Dpto/Entidade
Grupos de investigación-Grupo de Métodos Numéricos na EnxeñeríaCita bibliográfica
Fernández-Fidalgo, J., Nogueira, X., Ramírez, L., & Colominas, I. (2018). An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows. Computer Methods in Applied Mechanics and Engineering, 335, 91-127. https://doi.org/10.1016/j.cma.2018.02.013
Resumo
[Abstract:] A high-order hybrid method consisting of a high-accurate explicit finite-difference scheme and a Weighted Essentially Non-Oscillatory (WENO) scheme is proposed in this article. Following this premise, two variants are outlined: a hybrid made up of a Finite Difference scheme and a compact WENO scheme (CRWENO 5), and a hybrid made up of a Finite Difference scheme and a non-compact WENO scheme (WENO 5). The main difference with respect to similar schemes is its a posteriori nature, based on the Multidimensional Optimal Order Detection (MOOD) method. To deal with complex geometries, a multi-block approach using Moving Least Squares (MLS) procedure for communication between meshes is used. The hybrid schemes are validated with several 1D and 2D test cases to illustrate their accuracy and shock-capturing properties.
Palabras chave
High-order schemes
Compressible flows
Overset grids
Finite differences
Compressible flows
Overset grids
Finite differences
Descrición
Versión aceptada de https://doi.org/10.1016/j.cma.2018.02.013
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Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND)