Specification of monitor metrics for generating vector field-aligned numerical grids

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 20, Issue 5, 2005, Pages 439-461

  Glasser, A H ^a   Liseikin, V D ^b   Kitaeva, I A ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b INSTITUTE OF COMPUTATIONAL TECHNOLOGIES   (Russian Federation)

^c NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ELLIPTIC METHODS; MONITOR METRICS;

NUMERICAL METHODS; SPECIFICATIONS; VECTORS;

METRIC SYSTEM;

EID: 29044432779     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1163/156939805775186686     Document Type: Article

References (16)

1. J. U. Brackbill, An adaptive grid with directional control. J. Comp. Phys. (1993) 108, 38-50.
2. N. T. Danaev, On Opportunity for Generating Isometric Grids in Surfaces. Advances of Kazakh State University. Kazakh State University, 1994, pp. 110-116 (in Russian).
3. A. H. Glasser and X. Z. Tang, The SEL macroscopic modelling code. Comp. Phys. Comm. (2004) 164, 237-243.
4. S. K. Godunov and G. P. Prokopov, Calculation of conformal mappings in the construction of numerical grids. J. Comp. Math. Math. Phys. (1967) 7, 1031-1059 (in Russian).
5. V. D. Liseikin, Grid generation methods. Springer, Berlin, 1999.
6. V. D. Liseikin, Layer Resolving Grids and Transformations for Singular Perturbation Problem. VSP, Utrecht, 2001.
7. V. D. Liseikin, A computational differential geometry approach to grid generation. Springer, Berlin, 2003.
8. V. D. Liseikin, On generation of regular grids on n-dimensional surface. Comp. Math. Math. Phys. (1991) 31, No. 11, 41-57.
9. V. D. Liseikin, On geometric analysis of the properties of numerical grids. Dokl. Math. (2002) 65, No. 2, 190-193.
10. V. D. Liseikin, On geometric methods in the theory of numerical grids. Comp. Math. Math. Phys. (2003) 43, No. 7, 1035-1048 (in Russian).
11. G. Ryskin and L. G. Leal, Ortogonal mapping. J. Comp. Phys. (1983) 50, 71-100.
12. J. F. Thompson, Z. U. A. Warsi, and C. W. Mastin, Numerical Grid Generation. Foundations and Applications. Elsevier Science Publisher, New York, 1985.
13. Z. U. A. Warsi, Tensors and Differential Geometry Applyied to Analytical and Numerical Coordinate Generation. Aerospace Engineering, Starkville MSSU-EIRS-81-1, 1981.
14. Z. U. A. Warsi, Numerical grid generation in arbitrary surfaces through a second-order differential-geometric model. J. Comp. Phys. (1986) 64, 82-96.
15. A. M. Winslow, Equipotential zoning of two-dimensional meshes. J. Comp. Phys. (1967) 1, 149-172.
16. N. N. Yanenko, The Method of Fractional Steps. The Solution of Problems of Mathematical Physics in Several Variables. Springer, Berlin, 1971.