Chinese Quarterly Journal of Mathematics >

2024 , Vol. 39 >Issue 4: 355 - 365

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.04.002

Discontinuous Galerkin Method for Hydrodynamic and Sediment Transport Model

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  • 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Henan Key Laboratory of Earth System Observation and Modeling, Henan University, Kaifeng 475004, China; 3. The Academy for Advanced Interdisplinary Studies, Henan University, Zhengzhou 450046, China; 4. Institute of Mathematics and Physics, Beijing Union University, Beijing 100101, China; 5. Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University, Beijing 100101, China
ZHANG Ren-peng (1999-), male, native of Taian, Shandong, graduate student of Henan University, engages in PDE; WANG Bo (1976-), female, native of Liaocheng, Shandong, professor of Henan University, engages in PDE; WANG Qiang (1977-), male, native of Beijing, lecturer of Beijing Union University, engages in PDE.

Received date: 2024-03-08

  Online published: 2024-12-30

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 41930643) and the Natural Science Foundation of Henan Province (Grant No. 232300420109).

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Abstract

In this article, we propose and research a first-order, linearized discontinuous Galerkin method for the approximation of the hydrodynamic and sediment transport model. The method is decoupled and fully discrete, and is shown to be unconditionally
stable. Furthermore, error estimates are proved. Finally, the theoretical analysis is confirmed by numerical examples.

Key words： Discontinuous Galerkin method; Stability analysis; Error estimates

Cite this article

ZHANG Ren-peng, WANG Bo, WANG Qiang, . Discontinuous Galerkin Method for Hydrodynamic and Sediment Transport Model[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(4) : 355 -365 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.002

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