An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows

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...

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Veröffentlicht in:Computer methods in applied mechanics and engineering 2018-06, Vol.335, p.91-127
Hauptverfasser: Fernández-Fidalgo, Javier, Nogueira, Xesús, Ramírez, Luis, Colominas, Ignasi
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container_title Computer methods in applied mechanics and engineering
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creator Fernández-Fidalgo, Javier
Nogueira, Xesús
Ramírez, Luis
Colominas, Ignasi
description 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.
doi_str_mv 10.1016/j.cma.2018.02.013
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subjects Compressibility
Compressible flows
Computational mathematics
Finite difference method
Finite differences
Finite element analysis
High-order schemes
Mathematical analysis
Numerical analysis
Oscillators
Overset grids
Partial differential equations
Spectral resolution
title An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows
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