Low-dissipation central-upwind schemes for compressible multifluids

Chu，Shaoshuai1,2; Kurganov，Alexander3; Xin，Ruixiao4

2024-12-01

10.1016/j.jcp.2024.113311

Journal of Computational Physics   影响因子和分区

0021-9991

1090-2716

We introduce second-order low-dissipation (LD) path-conservative central-upwind (PCCU) schemes for the one- (1-D) and two-dimensional (2-D) multifluid systems, whose components are assumed to be immiscible and separated by material interfaces. The proposed LD PCCU schemes are derived within the flux globalization based PCCU framework and they employ the LD central-upwind (LDCU) numerical fluxes. These fluxes have been proposed in [A. KURGANOV AND R. XIN, J. Sci. Comput., 96 (2023), Paper No. 56] for the single-fluid compressible Euler equations, recently modified in [S. CHU, A. KURGANOV, AND R. XIN, submitted], and in this paper, we rigorously develop their multifluid extensions. In order to achieve higher resolution near the material interfaces, we track their locations and use an overcompressive SBM limiter in their neighborhoods, while utilizing a dissipative generalized minmod limiter in the rest of the computational domain. We first develop a second-order finite-volume LD PCCU scheme and then extend it to the fifth order of accuracy via the finite-difference alternative weighted essentially non-oscillatory (A-WENO) framework. We apply the developed schemes to a number of 1-D and 2-D numerical examples to demonstrate the performance of the new schemes.

Affine-invariant WENO-Z interpolation Compressible multifluids Flux globalization Low-dissipation central-upwind schemes Path-conservative central-upwind schemes

SCI

英语

通讯

PHYSICS

2-s2.0-85200258494

Scopus

1.Department of Mathematics,RWTH Aachen University,Aachen,52056,Germany
2.Department of Mathematics,Shenzhen International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
3.Department of Mathematics,Shenzhen International Center for Mathematics,Guangdong Provincial Key Laboratory of Computational Science and Material Design,Southern University of Science and Technology,Shenzhen,518055,China
4.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China

Chu，Shaoshuai,Kurganov，Alexander,Xin，Ruixiao. Low-dissipation central-upwind schemes for compressible multifluids[J]. Journal of Computational Physics,2024,518.

Chu，Shaoshuai,Kurganov，Alexander,&Xin，Ruixiao.(2024).Low-dissipation central-upwind schemes for compressible multifluids.Journal of Computational Physics,518.

Chu，Shaoshuai,et al."Low-dissipation central-upwind schemes for compressible multifluids".Journal of Computational Physics 518(2024).