Flux-corrected dispersion-improved CABARET schemes for linear and nonlinear wave propagation problems

Article

Chintagunta, A., Naghibi, S. E. and Karabasov, S. A. 2018. Flux-corrected dispersion-improved CABARET schemes for linear and nonlinear wave propagation problems. Computers and Fluids. 169, pp. 111-128. https://doi.org/10.1016/j.compfluid.2017.08.018
AuthorsChintagunta, A., Naghibi, S. E. and Karabasov, S. A.
Abstract

The new two-time-level dispersion improved CABARET scheme is developed as an upgrade of the original CABARET for improved wave propagation modelling in multiple dimensions and for nonlinear conservation laws including gas dynamics. The new upgrade retains many attractive features of the original CABARET scheme such as shock-capturing and low dissipation. It is simple for implementation in the existing CABARET codes and leads to a greater accuracy for solving linear wave propagation problems. A non-linear version of the dispersion-improved CABARET scheme is introduced to efficiently deal with contact discontinuities and shocks. The properties of the new linear and nonlinear CABARET schemes are analysed for numerical dissipation and dispersion error based on Von Neumann analysis and Pirrozolli's method. Numerical examples for one-dimensional and two-dimensional linear advection, the one-dimensional inviscid Burger's equation, and the isothermal gas dynamics problems in one and two dimensions are presented.

KeywordsWave propagation; High-resolution schemes; Dissipation and dispersion analysis; Shock-capturing; CABARET
Journal Computers and Fluids
Journal citation169, pp. 111-128
ISSN 0045-7930
Year2018
PublisherElsevier
Accepted author manuscript
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File Access Level
Anyone
Digital Object Identifier (DOI)https://doi.org/10.1016/j.compfluid.2017.08.018
Publication dates
Print06 Jun 2018
Online24 Aug 2018
Publication process dates
Accepted07 Aug 2017
Deposited05 Jun 2023
FunderPartnership for Observation of Global Oceans
Scientific Committee for Oceanic Research
Copyright holder© 2017, The Author(s)
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