典型文献
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
文献摘要：
We develop error-control based time integration algorithms for compressible fluid dynam-ics(CFD)applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime.Focusing on discontinuous spectral element semidis-cretizations,we design new controllers for existing methods and for some new embedded Runge-Kutta pairs.We demonstrate the importance of choosing adequate controller parameters and provide a means to obtain these in practice.We compare a wide range of error-control-based methods,along with the common approach in which step size con-trol is based on the Courant-Friedrichs-Lewy(CFL)number.The optimized methods give improved performance and naturally adopt a step size close to the maximum stable CFL number at loose tolerances,while additionally providing control of the temporal error at tighter tolerances.The numerical examples include challenging industrial CFD applications.
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中图分类号：
作者姓名：
Hendrik Ranocha;Lisandro Dalcin;Matteo Parsani;David I.Ketcheson
作者机构：
Applied Mathematics Münster,University of Münster,Munster,Germany;Computer Electrical and Mathematical Science and Engineering Division(CEMSE),Extreme Computing Research Center(ECRC),King Abdullah University of Science and Technology(KAUST),Thuwal 23955-6900,Saudi Arabia;Computer Electrical and Mathematical Science and Engineering Division(CEMSE),King Abdullah University of Science and Technology(KAUST),Thuwal 23955-6900,Saudi Arabia
文献出处：
引用格式：
[1]Hendrik Ranocha;Lisandro Dalcin;Matteo Parsani;David I.Ketcheson-.Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics)[J].应用数学与计算数学学报,2022(04):1191-1228
A类：
semidis,cretizations
B类：
Optimized,Runge,Kutta,Methods,Automatic,Step,Size,Control,Compressible,Computational,Fluid,Dynamics,We,develop,error,integration,algorithms,compressible,fluid,dynam,CFD,applications,show,that,they,efficient,robust,both,accuracy,limited,stability,regime,Focusing,discontinuous,spectral,element,we,design,new,controllers,existing,methods,some,embedded,pairs,demonstrate,importance,choosing,adequate,parameters,provide,means,obtain,these,practice,compare,wide,range,along,common,approach,which,step,size,Courant,Friedrichs,Lewy,CFL,number,optimized,give,improved,performance,naturally,adopt,close,maximum,stable,loose,tolerances,while,additionally,providing,temporal,tighter,numerical,examples,include,challenging,industrial
AB值：
0.669093
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