THERMAL SCIENCE

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Gonca Çelikten

,

Emine Nesligul Aksan

ALTERNATING DIRECTION IMPLICIT METHOD FOR NUMERICAL SOLUTIONS OF 2-D BURGERS EQUATIONS

ABSTRACT
In this study, the system of two-dimensional Burgers equations is numerically solved by using Alternating Direction Implicit (ADI) method. Two model problems are studied to demonstrate the efficiency and accuracy of the ADI method. Numerical results obtained by present method are compared with the exact solutions and numerical solutions given by other researchers. It is displayed that the method is unconditionally stable by using the von-Neumann (Fourier) stability analysis method. It is shown that all results are in good agreement with the results given by existing numerical methods in the literature.
KEYWORDS
Alternating Direction Implicit (ADI) method, Two-dimensional Burgers equation, von-Neumann stability analysis
PAPER SUBMITTED: 2018-11-11
PAPER REVISED: 2018-11-29
PAPER ACCEPTED: 2019-01-08
PUBLISHED ONLINE: 2019-03-09
DOI REFERENCE: https://doi.org/10.2298/TSCI181111038C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 1, PAGES [S243 - S252]
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Alternating direction implicit method for numerical solutions of 2-D burgers equations

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