Artículos de revistas
Some experiments with high order compact methods using a computer algebra software - Part II (non-uniform grid)
Fecha
2006-09-01Registro en:
Applied Mathematics and Computation. New York: Elsevier B.V., v. 180, n. 1, p. 233-241, 2006.
0096-3003
10.1016/j.amc.2005.11.135
WOS:000241142000026
8232289412108723
0000-0002-2080-8053
Autor
Universidade Estadual Paulista (Unesp)
Univ Strathclyde
Institución
Resumen
We generalize a procedure proposed by Mancera and Hunt [P.F.A. Mancera, R. Hunt, Some experiments with high order compact methods using a computer algebra software-Part 1, Appl. Math. Comput., in press, doi: 10.1016/j.amc.2005.05.015] for obtaining a compact fourth-order method to the steady 2D Navier-Stokes equations in the streamfunction formulation-vorticity using the computer algebra system Maple, which includes conformal mappings and non-uniform grids. To analyse the procedure we have solved a constricted stepped channel problem, where a fine grid is placed near the re-entrant corner by transformation of the independent variables. (c) 2006 Elsevier B.V. All rights reserved.