Imperial College London
Portrait Picture

ProfessorSpencerSherwin

Faculty of Engineering, Department of Aeronautics

Head of the Department of Aeronautics
 
 
 
//

Contact

 

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

 
 
//

Location

 

318City and Guilds BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Bolis:2014:10.1002/fld.3909,
author = {Bolis, A and Cantwell, CD and Kirby, RM and Sherwin, SJ},
doi = {10.1002/fld.3909},
journal = {International Journal for Numerical Methods in Fluids},
pages = {591--607},
title = {From h to p efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hp element method},
url = {http://dx.doi.org/10.1002/fld.3909},
volume = {75},
year = {2014}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We investigate the relative performance of a second-order Adams–Bashforth scheme and second-order andfourth-order Runge–Kutta schemes when time stepping a 2D linear advection problem discretised using aspectral/hp element technique for a range of different mesh sizes and polynomial orders. Numerical experimentsexplore the effects of short (two wavelengths) and long (32 wavelengths) time integration for sets ofuniform and non-uniform meshes. The choice of time-integration scheme and discretisation together fixes aCFL limit that imposes a restriction on the maximum time step, which can be taken to ensure numerical stability.The number of steps, together with the order of the scheme, affects not only the runtime but also theaccuracy of the solution. Through numerical experiments, we systematically highlight the relative effects ofspatial resolution and choice of time integration on performance and provide general guidelines on how bestto achieve the minimal execution time in order to obtain a prescribed solution accuracy. The significant roleplayed by higher polynomial orders in reducing CPU time while preserving accuracy becomes more evident,especially for uniform meshes, compared with what has been typically considered when studying this typeof problem.
AU  - Bolis,A
AU  - Cantwell,CD
AU  - Kirby,RM
AU  - Sherwin,SJ
DO  - 10.1002/fld.3909
EP  - 607
PY  - 2014///
SN  - 1097-0363
SP  - 591
TI  - From h to p efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hp element method
T2  - International Journal for Numerical Methods in Fluids
UR  - http://dx.doi.org/10.1002/fld.3909
UR  - http://www2.imperial.ac.uk/ssherw/spectralhp/papers/IJNMF-BoCaKiSh-14.pdf
UR  - http://hdl.handle.net/10044/1/26333
VL  - 75
ER  -
Download