التفاصيل البيبلوغرافية
| العنوان: |
Some recent finite volume schemes for one and two layers shallow water equations with variable density. |
| المؤلفون: |
Mohamed, Kamel, Sahmim, Slah, Benkhaldoun, Fayssal, Abdelrahman, Mahmoud A. E. |
| المصدر: |
Mathematical Methods in the Applied Sciences; Aug2023, Vol. 46 Issue 12, p12979-12995, 17p |
| مصطلحات موضوعية: |
SHALLOW-water equations, RIEMANN-Hilbert problems, TRANSPORT equation, WATER depth, SEDIMENT transport, FINITE volume method |
| مستخلص: |
We propose a class of finite volume algorithms that are both simple and efficient for solving numerically the shallow water equations with varying densities; shallow water flows in single and two layers are considered. In these flow regimes, variable horizontal or vertical density is taken into account. The shallow water equations for the hydraulic variables are coupled with a suspended sediment transport equation for the concentration variable to construct the model. To approximate the numerical solution of the models under consideration, a generalized Rusanov method is proposed; this method avoids solving Riemann problems during the time integration process, and it is simple and accurate. The proposed method is divided into two stages: predictor and corrector; the presented finite volume approach is well balanced, conservative, and simple. Non‐oscillatory and suitable for shallow water equations when Riemann problems are challenging to solve. Several test problems for single‐layer and two‐layer shallow water flows are applied to the proposed method. The numerical results show that the proposed finite volume approach has high resolution and that it is capable of simulating shallow water equations with variable density in flow regimes with strong shocks accurately. [ABSTRACT FROM AUTHOR] |
|
Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder