An Analysis of Grid-Clustering Rules in a Boundary Layer Using the Numerical Solution of the Problem of Viscous Flow over a Plate-Reference-Cited by-同舟云学术

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An Analysis of Grid-Clustering Rules in a Boundary Layer Using the Numerical Solution of the Problem of Viscous Flow over a Plate

Published:2022-08 Issue:8 Volume:62 Page:1356-1371
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Kudryavtsev A. N.,Liseikin V. D.,Mukhortov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S0965542522080073.pdf

Reference16 articles.

1. V. D. Liseikin, Layer Resolving Grids and Transformations for Singular Perturbation Problems (VSP, Utrecht, 2001).

2. N. S. Bakhvalov, “The optimization of methods of solving boundary value problems with a boundary layer,” USSR Comput. Math. Math. Phys. 9 (4), 139–166 (1969).

3. A. E. Berger, H. Han, and R. B. Kellog, “A priori estimates and analysis of a numerical method for a turning point problem,” Math. Comput. 42 (166), 465–492 (1984).

4. A uniformly convergent difference scheme for turning point problems;P. A. Farrell,1980

5. G. I. Shishkin, “A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions,” USSR Comput. Math. Math. Phys. 28 (6), 32–41 (1988).

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