Work

A well-balanced fifth-order A-WENO scheme based on flux globalization

Year: 2025

Type: article

Abstract: We construct a new fifth-order flux globalization based well-balanced (WB) alternative weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative systems.The proposed scheme is a higher-order extension of the WB path-conservative centralupwind (PCCU) scheme recently proposed in [A.Kurganov, Y. Liu and R. Xin, J. Comput.Phys., 474 (2023), Paper No. 111773].We apply the new scheme to the nozzle flow system and the twolayer shallow water equations.We conduct a series of numerical experiments, which clearly demonstrate the advantages of using the fifth-order extension of the flux globalization based WB PCCU scheme.

Source: Beijing Journal of Pure and Applied Mathematics

DOI: 10.4310/bpam.250414230324

Authors: Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

Institutions: RWTH Aachen University, Southern University of Science and Technology, Guangdong Provincial Key Laboratory Of Computational Science And Material Design

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China

Awards: G25894984, G259607972, G5261097129, G5281618827, G6104526615