MLPG method for the two-dimensional time dependent convection-diffusion equation

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Publication Details

Author listKhankham S., Aschariyaphotha N., Luadsong A., Yomsatieankul W.

PublisherPushpa

Publication year2012

JournalFar East Journal of Mathematical Sciences (0972-0871)

Volume number67

Issue number2

Start page229

End page247

Number of pages19

ISSN0972-0871

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84864104332&partnerID=40&md5=d546c252c834f57be100e9c74be3f9b3

LanguagesEnglish-Great Britain (EN-GB)


Abstract

The meshless local Petrov-Galerkin (MLPG) upwinding scheme is presented for solving time dependent convection-diffusion equation in two-dimensional case. It is well known that convection-dominated flows are some of the most difficult problems to solve numerically. The presence of the convection term causes serious numerical difficulties, appearing in the form of oscillatory solutions, when the convection term is dominant. It can be shown in this paper that the MLPG upwinding scheme will be very promising to solve the convection-dominated flow problem. The numerical results of the time dependent convection-diffusion equation are investigated, and confirm that oscillations can be controlled by the MLPG upwinding scheme method. The convection-diffusion equation that solved by using time dependent equation has the better results than time independent equation. The results also show that the MLPG upwinding scheme gives stability results, while the MLPG without upwinding scheme gives unconditionally stable results. ฉ 2012 Pushpa Publishing House.


Keywords

Convection-diffusion equationTime dependentUpwinding scheme


Last updated on 2022-06-01 at 15:49