4 papers
Local Characteristic Decomposition of Equilibrium Variables for Hyperbolic Systems of Balance Laws
Shaoshuai Chu, Alexander Kurganov, Mingye Na +2
This paper is concerned with high-order numerical methods for hyperbolic systems of balance laws. Such methods are typically based on high-order piecewise polynomial reconstruction…
New More Efficient A-WENO Schemes
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
We develop new more efficient A-WENO schemes for both hyperbolic systems of conservation laws and nonconservative hyperbolic systems. The new schemes are a very simple modification…
A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
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…
New Low-Dissipation Central-Upwind Schemes. Part II
Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin
The low-dissipation central-upwind (LDCU) schemes have been recently introduced in [A. Kurganov and R. Xin, J. Sci. Comput., 96 (2023), Paper No. 56] as a modification of the centr…