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Comparisons of numerical methods with respect to convectively dominated problems

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

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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