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Consistent high resolution interface-capturing finite volume method for compressible multi-material flows

Consistent high resolution interface-capturing finite volume method for compressible multi-material flows
Consistent high resolution interface-capturing finite volume method for compressible multi-material flows
Compressible multi-material flows are characterized by complex flow structures with a broad range of length scales and discontinuities associated with material interfaces and shock waves. High order and high resolution numerical methods are required to capture material interface as sharply as possible and to increase the resolution of complex structures along the material interface. This paper will present the application of the high resolution finite volume (FV) method based on the minimized dispersion and controllable dissipation (MDCD) reconstruction to compressible multi-material flows. TheMDCD scheme with independent dispersion and dissipation provides a flexible mechanism to control the numerical dissipation. The adjustment of dissipation of the MDCD reconstruction will not affect the consistency, which is required for interface-diffusion capturing methods to prevent spurious oscillations. Several one- and two dimensional multi-material numerical simulations have indicated that the high resolution FV method based on MDCD reconstruction can capture material interfaces free of spurious oscillations and provide better resolved small-scale features than other numerical schemes on the same grid resolution.
Finite volume method, High-resolution, Interface-capturing, Multimaterial
0045-7930
1-16
Wang, Qiuju
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Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Pan, Jianhua
48d93333-4116-4125-8f0a-8bb34a829099
Ren, Yu-Xin
aaaabba4-6ecb-48c5-8d7c-61ea4cdf2a36
Wang, Qiuju
32fbad2e-b462-4682-91ab-c4d93d5f4a2e
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Pan, Jianhua
48d93333-4116-4125-8f0a-8bb34a829099
Ren, Yu-Xin
aaaabba4-6ecb-48c5-8d7c-61ea4cdf2a36

Wang, Qiuju, Deiterding, Ralf, Pan, Jianhua and Ren, Yu-Xin (2020) Consistent high resolution interface-capturing finite volume method for compressible multi-material flows. Computers & Fluids, 202, 1-16, [104518]. (doi:10.1016/j.compfluid.2020.104518).

Record type: Article

Abstract

Compressible multi-material flows are characterized by complex flow structures with a broad range of length scales and discontinuities associated with material interfaces and shock waves. High order and high resolution numerical methods are required to capture material interface as sharply as possible and to increase the resolution of complex structures along the material interface. This paper will present the application of the high resolution finite volume (FV) method based on the minimized dispersion and controllable dissipation (MDCD) reconstruction to compressible multi-material flows. TheMDCD scheme with independent dispersion and dissipation provides a flexible mechanism to control the numerical dissipation. The adjustment of dissipation of the MDCD reconstruction will not affect the consistency, which is required for interface-diffusion capturing methods to prevent spurious oscillations. Several one- and two dimensional multi-material numerical simulations have indicated that the high resolution FV method based on MDCD reconstruction can capture material interfaces free of spurious oscillations and provide better resolved small-scale features than other numerical schemes on the same grid resolution.

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CAF_D_19_accepted - Accepted Manuscript
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Accepted/In Press date: 14 March 2020
e-pub ahead of print date: 17 March 2020
Published date: 30 April 2020
Keywords: Finite volume method, High-resolution, Interface-capturing, Multimaterial

Identifiers

Local EPrints ID: 438935
URI: http://eprints.soton.ac.uk/id/eprint/438935
ISSN: 0045-7930
PURE UUID: 564d47ba-2533-4915-a196-f26d25ba55a5
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

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Date deposited: 27 Mar 2020 17:30
Last modified: 28 Apr 2022 06:12

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Contributors

Author: Qiuju Wang
Author: Ralf Deiterding ORCID iD
Author: Jianhua Pan
Author: Yu-Xin Ren

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