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{Vincent:2015:10.1016/j.cma.2015.07.023,
author = {Vincent, PE and Farrington and Witherden and Jameson},
doi = {10.1016/j.cma.2015.07.023},
journal = {Computer Methods in Applied Mechanics and Engineering},
pages = {248--272},
title = {An extended range of stable-symmetric-conservative flux reconstruction correction functions},
url = {http://dx.doi.org/10.1016/j.cma.2015.07.023},
volume = {296},
year = {2015}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - The Flux Reconstruction (FR) approach offers an efficient route to achieving high-order accuracy on unstructured grids. Additionally, FR offers a flexible framework for defining a range of numerical schemes in terms of so-called FR correction functions. Recently, a one-parameter family of FR correction functions were identified that lead to stable schemes for 1D linear advection problems. In this study we develop a procedure for identifying an extended range of stable, symmetric, and conservative FR correction functions. The procedure is applied to identify ranges of such correction functions for various orders of accuracy. Numerical experiments are undertaken, and the results found to be in agreement with the theoretical findings.
AU - Vincent,PE
AU - Farrington
AU - Witherden
AU - Jameson
DO - 10.1016/j.cma.2015.07.023
EP - 272
PY - 2015///
SN - 0045-7825
SP - 248
TI - An extended range of stable-symmetric-conservative flux reconstruction correction functions
T2 - Computer Methods in Applied Mechanics and Engineering
UR - http://dx.doi.org/10.1016/j.cma.2015.07.023
UR - http://hdl.handle.net/10044/1/25345
VL - 296
ER -