Geodesic
A marching method for constructing orthogonal grids on a plane and on surfaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 11, pp. 1689-1704 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1995_35_11_a7,
     author = {A. Yu. Semenov},
     title = {A marching method for constructing orthogonal grids on a plane and on surfaces},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1689--1704},
     year = {1995},
     volume = {35},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_11_a7/}
}
TY  - JOUR
AU  - A. Yu. Semenov
TI  - A marching method for constructing orthogonal grids on a plane and on surfaces
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1995
SP  - 1689
EP  - 1704
VL  - 35
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_11_a7/
LA  - ru
ID  - ZVMMF_1995_35_11_a7
ER  - 
%0 Journal Article
%A A. Yu. Semenov
%T A marching method for constructing orthogonal grids on a plane and on surfaces
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1995
%P 1689-1704
%V 35
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_11_a7/
%G ru
%F ZVMMF_1995_35_11_a7
A. Yu. Semenov. A marching method for constructing orthogonal grids on a plane and on surfaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 11, pp. 1689-1704. http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_11_a7/

[1] Thompson J. F., Warsi Z. U. A., Mastin C. W., Numerical grid generation. Foundations and applications, North-Holland, New York, 1985 | MR | Zbl

[2] Godunov S. K., Zabrodin A. V., Ivanov M. Ya. i dr., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[3] Tomamidis P., Assanls D. W., “Generation of orthogonal grids with control of spacing”, J. Comput. Phys., 94:2 (1991), 437–453 | DOI

[4] Steger J. L., Chaussee D. S., “Generation of body-fitted coordinates using hyperbolic partical differential equations”, SIAM J. Sci. Statist. Comput., 1:4 (1980), 431–437 | DOI | MR | Zbl

[5] Steger J. L., “Grid generation with hyperbolic partial differential equations for application to complex configurations”, Numer. Grid Generation in Comput. Fluid Dynamics and Related Fields, North-Holland, New York, 1991, 871–886 | MR

[6] Semenov A. Yu., “Marching generation of orthogonal contour-fitted coordinates”, Proc. 2nd Japan-SU Symp. Comput. Fluid Dynamics. Japan, Tsukuba, Aug. 27–31, 1990, 2, 153–161

[7] Semenov A. Yu., Noniterative marching algorithm for generation of orthogonal contour-fitted coordinates, Preprint No 50, Gen. Phys. Inst. Russ. Sci., M., 1991, 20 pp.

[8] Courant R., Lax P., “On nonlinear differential equations with two independent variables”, Communs Pure and Appl. Math., 2:2–3 (1949), 255–273 | DOI | MR | Zbl

[9] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR

[10] Kassels Dzh. V. S., Vvedenie v geometriyu chisel, Mir, M., 1965 | MR

[11] Nematematicheskaya entsiklopediya, v. 2, Sov. entsiklopediya, M., 1979

[12] Nikolaev E. S., Samarskii A. A., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR