Wang, Yongqi ; Hutter, Kolumban (2001)
Comparisons of numerical methods with respect to convectively dominated problems.
In: International Journal for Numerical Methods in Fluids, 37 (6)
doi: 10.1002/fld.197
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 ; Hutter, Kolumban |
| Type of entry: | Bibliographie |
| Title: | Comparisons of numerical methods with respect to convectively dominated problems |
| Language: | English |
| Date: | 1 January 2001 |
| Publisher: | John Wiley and Sons |
| Journal or Publication Title: | International Journal for Numerical Methods in Fluids |
| Volume of the journal: | 37 |
| Issue Number: | 6 |
| DOI: | 10.1002/fld.197 |
| URL / URN: | 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. |
| Uncontrolled Keywords: | convection; numerical method; total variation diminishing |
| Additional Information: | DOI: 10.1002/fld.197 |
| 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 |
| Last Modified: | 19 Feb 2019 15:00 |
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