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

@inproceedings{Serson:2017:10.1007/978-3-319-65870-4_23,
author = {Serson, D and Meneghini, JR and Sherwin, SJ},
doi = {10.1007/978-3-319-65870-4_23},
pages = {331--342},
title = {Extension of the Velocity-Correction Scheme to General Coordinate Systems},
url = {http://dx.doi.org/10.1007/978-3-319-65870-4_23},
year = {2017}
}
Download

RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - The velocity-correction scheme is a time-integration method for the incompressible Navier-Stokes equations, and is a common choice in the context of spectral/hp methods. Although the spectral/hp discretization allows the representation of complex geometries, in some cases the use of a coordinate transformation is desirable, since it may lead to symmetries which allow a more efficient solution of the equations. One example of this occurs when the transformed geometry has a homogeneous direction, in which case a Fourier expansion can be applied in this direction, reducing the computational cost. In this paper, we revisit two recently proposed forms of extending the velocity-correction scheme to general coordinate systems, the first treating the mapping terms explicitly and the second treating them semi-implicitly. We then present some numerical examples illustrating the properties and applicability of these methods, including new tests focusing on the time-accuracy of these schemes.
AU  - Serson,D
AU  - Meneghini,JR
AU  - Sherwin,SJ
DO  - 10.1007/978-3-319-65870-4_23
EP  - 342
PY  - 2017///
SN  - 1439-7358
SP  - 331
TI  - Extension of the Velocity-Correction Scheme to General Coordinate Systems
UR  - http://dx.doi.org/10.1007/978-3-319-65870-4_23
ER  -
Download