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Title: An efficient hybrid method for solving Euler equations
Authors: Vevek, U. S.
Zang, Baohua
New, Tze How
Keywords: Engineering::Mechanical engineering
Issue Date: 2019
Source: Vevek, U. S., Zang, B. & New, T. H. (2019). An efficient hybrid method for solving Euler equations. Journal of Scientific Computing, 81(2), 732-762.
Project: MOE2014-T2-1-002
Journal: Journal of Scientific Computing
Abstract: In this paper, a hybrid method suitable for solving the Euler equations using high order methods has been proposed. The method was implemented and validated with a seventh order WENO scheme in OpenFOAM®. The hybrid method combines a simple MUSCL-type flux approach and a characteristic flux approach. In the MUSCL-type flux approach, the inviscid fluxes are computed using approximate Riemann solvers HLL and HLLC schemes based on the WENO-reconstructed state variables. Hence, this is dubbed as the VF (variable-based flux) approach. In critical regions where VF may produce spurious oscillations, a novel, low-dissipation HLL-based CF (characteristic flux) approach is applied. Critical regions were identified using a modified Bhagatwala–Lele shock sensor. The VF/CF hybrid method has been shown to produce high-resolution, essentially non-oscillatory results for a number of 1D and 2D problems at a fraction of the cost of a pure CF approach. Moreover, a 2D advection problem was designed to investigate the choice of state variables and flux schemes. The results have shed more light on the relation between Kelvin–Helmholtz roll-ups and numerical instabilities along slip lines.
ISSN: 0885-7474
DOI: 10.1007/s10915-019-01033-x
Rights: © 2019 © Springer Science+Business Media, LLC, part of Springer Nature. This is a post-peer-review, pre-copyedit version of an article published in Journal of Scientific Computing. The final authenticated version is available online at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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