High resolution central scheme using a new upwind slope limiter for hyperbolic conservation laws. (15th December 2021)

• Record Type: Journal Article
• Authors: Cai, Zhenyu; Li, Decai; Hu, Yang; Li, Mingjun; Meng, Xiangshen
• Is Part Of: Computers & fluids. Volume 231(2021)
• Publication Date: 2021-12-15
• Subjects: Hyperbolic conservation laws -- High resolution scheme -- Central scheme -- Upwind slope limiter; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2021.105164
• Languages: English
• ISSNs: 0045-7930

Abstract

Abstract: In this paper, a new high resolution central-upwind scheme for hyperbolic conservation laws is proposed, based on a new upwind biased slope limiter. The new scheme is defined as a correction of KT central scheme by applying the new slope limiter. The new limiter uses more upwind information for the piecewise linear interpolations, so that it has an upwind nature. The main features of the new scheme are high resolution and nonoscillatory. At the same time, it retains the efficiency and simplicity of central scheme. The total-variation diminishing (TVD) property and maximum principle of the new scheme are proved. The numerical experiments, including one-dimensional, two-dimensional Riemann problems and double Mach reflection problem for Euler equations, show the desired resolution and robustness of the new scheme.