Geodesic
Natural Element Method for Solving Problems of Viscous Incompressible Fluid
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 2, pp. 30-37 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The given work is devoted to development of numerical algorithms on the basis of a natural element method for solving viscous incompressible fluid with free boundaries problems of dynamics. 
@article{VNGU_2008_8_2_a2,
     author = {K. E. Afanasiev and T. S. Rein},
     title = {Natural {Element} {Method} for {Solving} {Problems} of {Viscous} {Incompressible} {Fluid}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {30--37},
     year = {2008},
     volume = {8},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a2/}
}
TY  - JOUR
AU  - K. E. Afanasiev
AU  - T. S. Rein
TI  - Natural Element Method for Solving Problems of Viscous Incompressible Fluid
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2008
SP  - 30
EP  - 37
VL  - 8
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a2/
LA  - ru
ID  - VNGU_2008_8_2_a2
ER  - 
%0 Journal Article
%A K. E. Afanasiev
%A T. S. Rein
%T Natural Element Method for Solving Problems of Viscous Incompressible Fluid
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2008
%P 30-37
%V 8
%N 2
%U http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a2/
%G ru
%F VNGU_2008_8_2_a2
K. E. Afanasiev; T. S. Rein. Natural Element Method for Solving Problems of Viscous Incompressible Fluid. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 2, pp. 30-37. http://geodesic.mathdoc.fr/item/VNGU_2008_8_2_a2/

[1] Afanasev K. E., Stukolov S. V., KMGE dlya resheniya ploskikh zadach gidrodinamiki i ego realizatsiya na parallelnykh kompyuterakh, Ucheb. posobie, Izd-vo KemGU, Kemerovo, 2001

[2] Belikov V. V., Ivanov V. D., Kontorovich V. K. i dr., “Nesibsonovskaya interpolyatsiya — novyi metod interpolyatsii znachenii funktsii na proizvolnoi sisteme tochek”, Vych. mat. i mat. fizika, 37:1 (1997), 11–17 | MR

[3] Karabtsev S. N., Stukolov S. V., “Effektivnyi algoritm generatsii konechnoelementnoi setki dlya metoda estestvennykh sosedei”, Gidrodinamika bolshikh skorostei i chislennoe modelirovanie, Materialy III mezhdunar. nauch. letnei shkoly, INT, Kemerovo, 2006, 401–409

[4] Ovsyannikov L. V., “Obschie uravneniya i primery”, Zadacha o neustanovivshemsya dvizhenii zhidkosti so svobodnoi granitsei, Nauka, Novosibirsk, 1967, 5–75

[5] Frank A. M., Diskretnye modeli neszhimaemoi zhidkosti, Fizmatlit, M., 2001

[6] Yanenko N. N., “Ob ekonomichnykh neyavnykh skhemakh (metod drobnykh shagov)”, DAN SSSR, 134 (1960)

[7] Chorin A., “Numerical Solution of the Navier–Stokes Equations”, Math. comp., 22, 1968, 745–762 | DOI | MR | Zbl

[8] Farin G., “Surfaces over Dirichlet Tessellations”, Computer Aided Geometric Design, 7 (1990), 281–292 | DOI | MR | Zbl

[9] Koshizuka S., Tamako H., Oka Y., “A Particle Method for Incompressible Viscous Flow with Fluid Fragmentation”, Computational Fluid Dynamics J., 4:1 (1995), 29–46

[10] Monaghan J., “Smoothed Particle Hydrodynamics”, Ann. Rev. Astron. and Astrophysics, 1992, no. 30, 543–574 | DOI

[11] Onate E., “A Stabilized Finite Element Method for Incompresible Viscous Flows Using a Finite Increment Calculus Formulation”, Comput. Meth. Appl. Mech. Eng., 182:1–2 (2000), 355–370 | DOI | MR | Zbl

[12] Sibson R., “A Brief Descrption a Natural Neigbor Interpolation”, Interpret Multivariative Data, John Wiley, Chichester, 1981, 21–36

[13] Sukumar N., Moran B., Belytschko T., “The Natural Element Method in Solid Mechanics”, Int. J. Num. Methods Eng., 43:5 (1998), 839–887 | 3.0.CO;2-R class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl