Revisting High-Resolution Schemes with van Albada Slope Limiter  

作　　者：Jingcheng Lu Eitan Tadmor 

机构地区：[1]Department of Mathematics,University of Maryland,College Park,MD,USA [2]School of Mathematics,University of Minnesota,Minneapolis,MN,USA [3]Department of Mathematics and Institute for Physical Sciences and Technology,University ofMaryland,CollegePark,MD,USA

出　　处：《Communications on Applied Mathematics and Computation》2024年第3期1924-1953,共30页应用数学与计算数学学报（英文）

基　　金：Research was supported in part by the ONR Grant N00014-2112773.

摘　　要：Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws.The family of minmod limiters serves as the prototype example.Here,we revisit the question of non-oscillatory behavior of high-resolution central schemes in terms of the slope limiter proposed by van Albada et al.(Astron Astrophys 108:76–84,1982).The van Albada(vA)limiter is smoother near extrema,and consequently,in many cases,it outperforms the results obtained using the standard minmod limiter.In particular,we prove that the vA limiter ensures the one-dimensional Total-Variation Diminishing(TVD)stability and demonstrate that it yields noticeable improvement in computation of one-and two-dimensional systems.

关 键 词：High resolution LIMITERS Total-Variation Diminishing(TVD)stability Central schemes 

分 类 号：O241[理学—计算数学]