Asymptotic Preserving Semi-Implicit Scheme for the Shallow Water Equations with Non-Flat Bottom Topography and Manning Friction Term

• Published in: Journal of computational methods in applied mathematics Vol. 25; no. 3; pp. 619 - 641
• Main Authors: Huang, Guanlan, Boscarino, Sebastiano, Xiong, Tao
• Format: Journal Article
• Language: English
• Published: Minsk De Gruyter 01.07.2025; Walter de Gruyter GmbH
• Subjects: 35L65; 65L04; 65M06; Asymptotic methods; Asymptotic Preserving; Asymptotic properties; Computational efficiency; Computing costs; Convection; Diffusion rate; Finite Difference WENO; Friction; High Order; Runge-Kutta method; Shallow Water Equations; Stability; Topography; Well-Balanced

In [G. Huang, S. Boscarino and T. Xiong, High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms, Commun. Comput. Phys. 35 2024, 5, 1229–1262], we proposed a class of high-order asymptotic preserving (AP) finite difference weighted essentially non...