Imperial College London

DrPeterVincent

Faculty of EngineeringDepartment of Aeronautics

Reader in Aeronautics
 
 
 
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Contact

 

+44 (0)20 7594 1975p.vincent

 
 
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Location

 

211City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Vermeire:2016:10.1016/j.cma.2016.11.019,
author = {Vermeire, BC and Vincent, PE},
doi = {10.1016/j.cma.2016.11.019},
journal = {Computer Methods in Applied Mechanics and Engineering},
pages = {1053--1079},
title = {On the behaviour of fully-discrete flux reconstruction schemes},
url = {http://dx.doi.org/10.1016/j.cma.2016.11.019},
volume = {315},
year = {2016}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - In this study we employ von Neumann analyses to investigate the disper-sion, dissipation, group velocity, and error properties of several fully discreteflux reconstruction (FR) schemes. We consider three FR schemes pairedwith two explicit Runge-Kutta (ERK) schemes and two singly diagonallyimplicit RK (SDIRK) schemes. Key insights include the dependence ofhigh-wavenumber numerical dissipation, relied upon for implicit large eddysimulation (ILES), on the choice of temporal scheme and time-step size.Also, the wavespeed characteristics of fully-discrete schemes and the relativedominance of temporal and spatial errors as a function of wavenumber andtime-step size are investigated. Salient properties from the aforementionedtheoretical analysis are then demonstrated in practice using linear advectiontest cases. Finally, a Burgers turbulence test case is used to demonstrate theimportance of the temporal discretisation when using FR schemes for ILES.
AU - Vermeire,BC
AU - Vincent,PE
DO - 10.1016/j.cma.2016.11.019
EP - 1079
PY - 2016///
SN - 0045-7825
SP - 1053
TI - On the behaviour of fully-discrete flux reconstruction schemes
T2 - Computer Methods in Applied Mechanics and Engineering
UR - http://dx.doi.org/10.1016/j.cma.2016.11.019
UR - http://hdl.handle.net/10044/1/42633
VL - 315
ER -