676	RWTH Publication No: 1003602        2024
TITLE	A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization
AUTHORS	Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
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 central-upwind (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 two-layer 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.
KEYWORDS	A-WENO schemes, flux globalization based path-conservative central-upwind scheme, nozzle flow system, two-layer shallow water equations