On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations
- 10.2991/jnmp.19188.8.131.52How to use a DOI?
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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Cite this article
TY - JOUR AU - Samir F. Radwan PY - 1999 DA - 1999/02/01 TI - On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations JO - Journal of Nonlinear Mathematical Physics SP - 13 EP - 34 VL - 6 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.19184.108.40.206 DO - 10.2991/jnmp.19220.127.116.11 ID - Radwan1999 ER -