On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers’ Equations
作者:
SamirF. Radwan,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1999)
卷期:
Volume 6,
issue 1
页码: 13-34
ISSN:1402-9251
年代: 1999
DOI:10.2991/jnmp.1999.6.1.3
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The two-dimensional unsteady coupled Burgers’ equations with moderate to severe gradients, are solved numerically using higher-order accurate finite difference schemes; namely the fourth-order accurate compact ADI scheme, and the fourth-order accurate Du Fort Frankel scheme. The question of numerical stability and convergence are presented. Comparisons are made between the present schemes in terms of accuracy and computational efficiency for solving problems with severe internal and boundary gradients. The present study shows that the fourth-order compact ADI scheme is stable and efficient.
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