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A second-order-accurate immersed boundary ghost-cell method with hybrid reconstruction for compressible flow simulations

A second-order-accurate immersed boundary ghost-cell method with hybrid reconstruction for compressible flow simulations
A second-order-accurate immersed boundary ghost-cell method with hybrid reconstruction for compressible flow simulations
This study presents an improved ghost-cell immersed boundary method for geometrically complex boundaries in compressible flow simulations. A bilinearly complete extrapolation scheme is developed for the reconstruction of the ghost cell. The second-order accuracy of the improved ghost-cell method (GCM) is shown in unit test cases and is also theoretically proven. A hybrid GCM based on both baseline GCM and improved GCM is proposed and constructed. The hybrid GCM applied in compressible flow is validated against five test cases: (a) Stationary rotating vortex, (b) Prandtl-Meyer expansion flow, (c) Double Mach reflection, \textcolor[rgb]{0,0,1}{(d) Moving-shock/obstacle interaction}, (e) Blunt body shock-induced combustion. This paper provides a comprehensive comparison of their performance in terms of various accuracy and computation time measurements. The simulation results demonstrate that the hybrid GCM has higher accuracy and convergence than the remaining two GCMs in all cases. By directly comparing the primitive variables along the boundary, it can be concluded that the hybrid GCM has significant advantages in compressible flow simulations. The results of CPU time show that the hybrid GCM can provide more accurate results while ensuring the efficiency of the calculation.
Cartesian grid, ghost-cell method, immersed boundary, level-set method
0045-7930
Wang, Xinxin
faafb881-5948-40d5-b2bb-df56f6687c32
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Liang, Jianhan
fd8229b7-c7f4-4a1b-b94f-abce393f9e9a
Cai, Xiaodong
293bf621-f0e1-48ba-abaa-b41da81ea244
Zhao, Wandong
d9c8a7b9-8e16-4e9e-9c18-d5ee83d1d979
Wang, Xinxin
faafb881-5948-40d5-b2bb-df56f6687c32
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Liang, Jianhan
fd8229b7-c7f4-4a1b-b94f-abce393f9e9a
Cai, Xiaodong
293bf621-f0e1-48ba-abaa-b41da81ea244
Zhao, Wandong
d9c8a7b9-8e16-4e9e-9c18-d5ee83d1d979

Wang, Xinxin, Deiterding, Ralf, Liang, Jianhan, Cai, Xiaodong and Zhao, Wandong (2022) A second-order-accurate immersed boundary ghost-cell method with hybrid reconstruction for compressible flow simulations. Computers & Fluids, 237 (105314), [105314]. (doi:10.1016/j.compfluid.2022.105314).

Record type: Article

Abstract

This study presents an improved ghost-cell immersed boundary method for geometrically complex boundaries in compressible flow simulations. A bilinearly complete extrapolation scheme is developed for the reconstruction of the ghost cell. The second-order accuracy of the improved ghost-cell method (GCM) is shown in unit test cases and is also theoretically proven. A hybrid GCM based on both baseline GCM and improved GCM is proposed and constructed. The hybrid GCM applied in compressible flow is validated against five test cases: (a) Stationary rotating vortex, (b) Prandtl-Meyer expansion flow, (c) Double Mach reflection, \textcolor[rgb]{0,0,1}{(d) Moving-shock/obstacle interaction}, (e) Blunt body shock-induced combustion. This paper provides a comprehensive comparison of their performance in terms of various accuracy and computation time measurements. The simulation results demonstrate that the hybrid GCM has higher accuracy and convergence than the remaining two GCMs in all cases. By directly comparing the primitive variables along the boundary, it can be concluded that the hybrid GCM has significant advantages in compressible flow simulations. The results of CPU time show that the hybrid GCM can provide more accurate results while ensuring the efficiency of the calculation.

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More information

Accepted/In Press date: 5 January 2022
e-pub ahead of print date: 31 January 2022
Published date: 15 April 2022
Additional Information: Funding Information: This work is supported by the National Natural Science Foundation of China (No. 11702323 ). Thanks are due to Siqi Hu and Ke Zhu for support in writing the paper. Publisher Copyright: © 2022 Elsevier Ltd
Keywords: Cartesian grid, ghost-cell method, immersed boundary, level-set method

Identifiers

Local EPrints ID: 454861
URI: http://eprints.soton.ac.uk/id/eprint/454861
ISSN: 0045-7930
PURE UUID: 9ede5c59-e9e7-4b2a-9c99-81fa3a55f223
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

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Date deposited: 28 Feb 2022 17:32
Last modified: 23 Jun 2022 01:47

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Contributors

Author: Xinxin Wang
Author: Ralf Deiterding ORCID iD
Author: Jianhan Liang
Author: Xiaodong Cai
Author: Wandong Zhao

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