Comparisons of numerical methods with respect to convectively dominated problems

Wang, Yongqi and Hutter, Kolumban :
Comparisons of numerical methods with respect to convectively dominated problems.
[Online-Edition: http://onlinelibrary.wiley.com/doi/10.1002/fld.197/pdf]
In: International Journal for Numerical Methods in Fluids, 37 (6) pp. 721-745. ISSN 0271-2091
[Article] , (2001)

Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.197/pdf

Abstract

A series of numerical schemes: first-order upstream, Lax-Friedrichs; second-order upstream, central difference, Lax-Wendroff, Beam–Warming, Fromm; third-order QUICK, QUICKEST and high resolution flux-corrected transport and total variation diminishing (TVD) methods are compared for one-dimensional convection-diffusion problems. Numerical results show that the modified TVD Lax-Friedrichs method is the most competent method for convectively dominated problems with a steep spatial gradient of the variables.

Item Type:	Article
Erschienen:	2001
Creators:	Wang, Yongqi and Hutter, Kolumban
Title:	Comparisons of numerical methods with respect to convectively dominated problems
Language:	English
Abstract:	A series of numerical schemes: first-order upstream, Lax-Friedrichs; second-order upstream, central difference, Lax-Wendroff, Beam–Warming, Fromm; third-order QUICK, QUICKEST and high resolution flux-corrected transport and total variation diminishing (TVD) methods are compared for one-dimensional convection-diffusion problems. Numerical results show that the modified TVD Lax-Friedrichs method is the most competent method for convectively dominated problems with a steep spatial gradient of the variables.
Journal or Publication Title:	International Journal for Numerical Methods in Fluids
Volume:	37
Number:	6
Publisher:	John Wiley and Sons
Uncontrolled Keywords:	convection; numerical method; total variation diminishing
Divisions:	Study Areas 16 Department of Mechanical Engineering 16 Department of Mechanical Engineering > Fluid Dynamics (fdy) Study Areas > Study Area Mechanic
Date Deposited:	23 Aug 2011 14:59
DOI:	10.1002/fld.197
Official URL:	http://onlinelibrary.wiley.com/doi/10.1002/fld.197/pdf
Additional Information:	DOI: 10.1002/fld.197
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