Development of a Balanced Adaptive Time‑Stepping Strategy Based on an Implicit JFNK‑DG Compressible Flow Solver
作者机构：Department of AeronauticsImperial College LondonLondonUK State Key Laboratory of AerodynamicsChina Aerodynamics Research and Development CenterMianyang 621000SichuanChina
出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)
年 卷 期：2022年第4卷第2期
页 面：728-757页
核心收录：
学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）]
基 金：Zhen-Guo Yan acknowledges supports from the National Natural Science Foundation of China(Grant no.11902344) National Numerical Windtunnel Project.The development of the implicit solver in Nektar++has been supported by EPSRC grant(EP/R029423/1) UK Turbulence Consortium grant(EP/R029326/1)
主 题：Adaptive time-stepping Unsteady simulations High order Discontinuous Galerkin Implicit time integration
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 relation between the spatial,temporal and iterative errors generated within one time step is *** an estimate of temporal and spatial error using an embedded RungeKutta 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 obviously infuencing the total error of the *** designed adaptive time-stepping strategy is then tested in various types of problems including isentropic vortex convection,steady-state fow past a fat plate,Taylor-Green vortex and turbulent fow over a circular cylinder at Re=*** results indicate that the adaptive time-stepping strategy can maintain that the discretization error is dominated by the spatial error and relatively high efciency is obtained for unsteady and steady,well-resolved and under-resolved simulations.
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