New Results for Riemann Solution of the Cargo-LeRoux Model by the Application of Flux-Limiter Schemes

Author:

Ahmed SidrahORCID

Abstract

The Rienamm solution of the Cargo-LeRoux model has been recently introduced in [1] in which authors have found the exact solutions to the initial value problem. This work is the first attempt to apply numerical methods for the Cargo-LeRoux model. The higher-order flux limiter method applied in this paper holds the total variation diminishing property and gives smooth solutions in steep gradient regions. Various limiter functions that lead to different accuracy in numerical results are tested for the Riemann problem. The numerical investigations presented in this work can be used to review limiter-based TVD schemes extensively and to construct a class of highly efficient finite volume/ finite difference methods for such models.  

Publisher

VFAST Research Platform

Reference35 articles.

1. Bira, B., Sekhar, T.R. and Zeidan, D. [2016], 'Application of lie groups to compressible model of two-phase flows', *Computers & Mathematics with Applications*, 71(1), pp. 46–56.

2. Dong, J. and Qian, X. [2022], 'Well-balanced and positivity-preserving surface reconstruction schemes solving ripa systems

3. with nonflat bottom topography', *SIAM Journal on Scientific Computing*, 44(5), pp. A3098–A3129.

4. Du, Q., Glowinski, R., Hintermüller, M. and Süli, E. [2016], *Handbook of numerical methods for hyperbolic problems: basic and fundamental issues*, Elsevier.

5. Harten, A. [1997], 'High-resolution schemes for hyperbolic conservation laws', *Journal of Computational Physics*, 135(2), pp. 260–278.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3