Adaptive time step control for the incompressible Navier-Stokes equations

被引：58
|
作者：
John, Volker [1 ,2 ]
Rang, Joachim [3 ]
机构：
[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
[2] Free Univ Berlin, Dept Math & Comp Sci, D-14195 Berlin, Germany
[3] Tech Univ Carolo Wilhelmina Braunschweig, Inst Wissensch Rechnen, D-38092 Braunschweig, Germany
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2010年 / 199卷 / 9-12期
关键词：
Incompressible Navier-Stokes equations; Implicit theta-schemes; DIRK methods; ROW methods; Adaptive time step control; ROSENBROCK METHODS; BENCHMARK PROBLEM; SCHEMES; SOLVERS; FLOW;
D O I：
10.1016/j.cma.2009.10.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Adaptive time stepping is an important tool in Computational Fluid Dynamics for controlling the accuracy of simulations and for enhancing their efficiency. This paper presents a systematic study of three classes of implicit and linearly implicit time stepping schemes with adaptive time step control applied to a 2D laminar flow around a cylinder: theta-schemes, diagonal-implicit Runge-Kutta (DIRK) methods and Rosen brock-Wanner (ROW) methods. The time step is controlled using embedded methods. it is shown that several ROW methods clearly outperform the more standard theta-schemes and the DIRK methods. The results depend on a prescribed tolerance in the time step control algorithm, whose appropriate choice varies from scheme to scheme. (C) 2009 Elsevier B.V. All rights reserved.
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页码：514 / 524
页数：11
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