典型文献
Development of a Balanced Adaptive Time-Stepping Strategy Based on an Implicit JFNK-DG Compressible Flow Solver
文献摘要：
A balanced adaptive time-stepping strategy is implemented in an implicit discontinuous Galerkin solver to guarantee the temporal accuracy of unsteady simulations.A proper rela-tion between the spatial,temporal and iterative errors generated within one time step is constructed.With an estimate of temporal and spatial error using an embedded Runge-Kutta scheme and a higher order spatial discretization,an adaptive time-stepping strategy is proposed based on the idea that the time step should be the maximum without obvi-ously influencing the total error of the discretization.The designed adaptive time-stepping strategy is then tested in various types of problems including isentropic vortex convec-tion,steady-state flow past a flat plate,Taylor-Green vortex and turbulent flow over a cir-cular cylinder at Re=3 900.The results indicate that the adaptive time-stepping strategy can maintain that the discretization error is dominated by the spatial error and relatively high efficiency is obtained for unsteady and steady,well-resolved and under-resolved simulations.
文献关键词：
中图分类号：
作者姓名：
Yu Pan;Zhen-Guo Yan;Joaquim Peiró;Spencer J.Sherwin
作者机构：
Department of Aeronautics,Imperial College London,London,UK;State Key Laboratory of Aerodynamics,China Aerodynamics Research and Development Center,Mianyang 621000,Sichuan,China
文献出处：
引用格式：
[1]Yu Pan;Zhen-Guo Yan;Joaquim Peiró;Spencer J.Sherwin-.Development of a Balanced Adaptive Time-Stepping Strategy Based on an Implicit JFNK-DG Compressible Flow Solver)[J].应用数学与计算数学学报,2022(02):728-757
A类：
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Development,Balanced,Adaptive,Time,Stepping,Strategy,Based,Implicit,JFNK,DG,Compressible,Flow,Solver,balanced,adaptive,stepping,strategy,implemented,implicit,discontinuous,Galerkin,solver,guarantee,temporal,accuracy,unsteady,simulations,proper,between,spatial,iterative,errors,generated,within,one,constructed,With,estimate,using,embedded,Runge,Kutta,scheme,higher,order,discretization,proposed,idea,that,should,maximum,without,obvi,ously,influencing,total,designed,then,tested,various,types,problems,including,isentropic,vortex,convec,state,flow,past,flat,plate,Taylor,Green,turbulent,over,cir,cular,cylinder,Re,results,indicate,can,maintain,dominated,by,relatively,efficiency,obtained,well,resolved,under
AB值：
0.610744
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