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 -