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@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}
}

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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  -

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