TY - JOUR

T1 - Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids

AU - Shen, Hua

AU - Wen, Chih-Yung

AU - Parsani, Matteo

AU - Shu, Chi-Wang

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: H. Shen and C. Y. Wen were supported by NSFC grant 11372265 and the opening project of the State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) grant KFJJ15-09M. C.-W. Shu was supported by ARO grant W911NF-15-1-0226 and NSF grant DMS-1418750. For computer time, this research used the resources of the Extreme Computing Research Center at King Abdullah University of Science & Technology (KAUST) in Thuwal, Saudi Arabia.

PY - 2016/10/20

Y1 - 2016/10/20

N2 - A maximum-principle-satisfying space-time conservation element and solution element (CE/SE) scheme is constructed to solve a reduced five-equation model coupled with the stiffened equation of state for compressible multifluids. We first derive a sufficient condition for CE/SE schemes to satisfy maximum-principle when solving a general conservation law. And then we introduce a slope limiter to ensure the sufficient condition which is applicative for both central and upwind CE/SE schemes. Finally, we implement the upwind maximum-principle-satisfying CE/SE scheme to solve the volume-fraction-based five-equation model for compressible multifluids. Several numerical examples are carried out to carefully examine the accuracy, efficiency, conservativeness and maximum-principle-satisfying property of the proposed approach.

AB - A maximum-principle-satisfying space-time conservation element and solution element (CE/SE) scheme is constructed to solve a reduced five-equation model coupled with the stiffened equation of state for compressible multifluids. We first derive a sufficient condition for CE/SE schemes to satisfy maximum-principle when solving a general conservation law. And then we introduce a slope limiter to ensure the sufficient condition which is applicative for both central and upwind CE/SE schemes. Finally, we implement the upwind maximum-principle-satisfying CE/SE scheme to solve the volume-fraction-based five-equation model for compressible multifluids. Several numerical examples are carried out to carefully examine the accuracy, efficiency, conservativeness and maximum-principle-satisfying property of the proposed approach.

UR - http://hdl.handle.net/10754/621174

UR - http://www.sciencedirect.com/science/article/pii/S0021999116305344

UR - http://www.scopus.com/inward/record.url?scp=85027957477&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2016.10.036

DO - 10.1016/j.jcp.2016.10.036

M3 - Article

SN - 0021-9991

VL - 330

SP - 668

EP - 692

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -