Modifying and Reducing Numerical Dissipation in A Two-Dimensional Central-Upwind Scheme
作者机构:Department of Applied MathematicsNational Chiao Tung University1001 University RoadHsinchu 300Taiwan Department of Computer Science and Information EngineeringChaoyang University of Technology168 Jifong E.Rd.Wufong Township Taichung County 41349Taiwan
出 版 物:《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展(英文))
年 卷 期:2012年第4卷第3期
页 面:340-353页
核心收录:
学科分类:07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)] 070101[理学-基础数学]
主 题:Hyperbolic systems of conservation laws Godunov-type finite-volume methods central-upwind scheme Kurganov numerical dissipation anti-diffusion
摘 要:This study presents a modification of the central-upwind Kurganov scheme for approximating the solution of the 2D Euler *** prototype,extended from a 1D model,reduces substantially less dissipation than *** problem arises from over-restriction of some slope limiters,which keep slopes between interfaces of cells to be *** study reports the defect and presents a re-derived optimal *** experiments highlight the significance of this formula,especially in long-time,large-scale simulations.