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
Authors | Chintagunta, A., Naghibi, S. E. and Karabasov, S. A. |
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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. |
Keywords | Wave propagation; High-resolution schemes; Dissipation and dispersion analysis; Shock-capturing; CABARET |
Journal | Computers and Fluids |
Journal citation | 169, pp. 111-128 |
ISSN | 0045-7930 |
Year | 2018 |
Publisher | Elsevier |
Accepted author manuscript | License File Access Level Anyone |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.compfluid.2017.08.018 |
Publication dates | |
06 Jun 2018 | |
Online | 24 Aug 2018 |
Publication process dates | |
Accepted | 07 Aug 2017 |
Deposited | 05 Jun 2023 |
Funder | Partnership for Observation of Global Oceans |
Scientific Committee for Oceanic Research | |
Copyright holder | © 2017, The Author(s) |
https://repository.uel.ac.uk/item/8w150
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Accepted author manuscript
Karabasov Flux-corrected dispersion 2017 Accepted Manuscript.pdf | ||
License: CC BY-NC-ND 4.0 | ||
File access level: Anyone |
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