Imperial College London
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ProfessorSpencerSherwin

Faculty of Engineering, Department of Aeronautics

Head of the Department of Aeronautics
 
 
 
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Contact

 

+44 (0)20 7594 5052s.sherwin Website

 
 
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Location

 

318City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Pan:2022:10.1007/s42967-021-00138-1,
author = {Pan, Y and Yan, Z-G and Peiro, J and Sherwin, SJ},
doi = {10.1007/s42967-021-00138-1},
journal = {Communications on Applied Mathematics and Computation},
pages = {728--757},
title = {Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver},
url = {http://dx.doi.org/10.1007/s42967-021-00138-1},
volume = {4},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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 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 obviously influencing the total error of the discretization. The designed adaptive time-stepping strategy is then tested in various types of problems including isentropic vortex convection, steady-state flow past a flat plate, Taylor-Green vortex and turbulent flow over a circular cylinder at Re=3900. 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.
AU  - Pan,Y
AU  - Yan,Z-G
AU  - Peiro,J
AU  - Sherwin,SJ
DO  - 10.1007/s42967-021-00138-1
EP  - 757
PY  - 2022///
SN  - 2661-8893
SP  - 728
TI  - Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver
T2  - Communications on Applied Mathematics and Computation
UR  - http://dx.doi.org/10.1007/s42967-021-00138-1
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000691313500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2Fs42967-021-00138-1
UR  - http://hdl.handle.net/10044/1/91797
VL  - 4
ER  -
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