Geodesic
Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 481-489 
G. V. Belyakov; V. I. Gryn'; A. A. Charakhch'yan. Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 3, pp. 481-489. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a9/
@article{ZVMMF_2007_47_3_a9,
     author = {G. V. Belyakov and V. I. Gryn' and A. A. Charakhch'yan},
     title = {Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {481--489},
     year = {2007},
     volume = {47},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a9/}
}
TY  - JOUR
AU  - G. V. Belyakov
AU  - V. I. Gryn'
AU  - A. A. Charakhch'yan
TI  - Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 481
EP  - 489
VL  - 47
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a9/
LA  - ru
ID  - ZVMMF_2007_47_3_a9
ER  - 
%0 Journal Article
%A G. V. Belyakov
%A V. I. Gryn'
%A A. A. Charakhch'yan
%T Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 481-489
%V 47
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_3_a9/
%G ru
%F ZVMMF_2007_47_3_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

A procedure for the calculation of nonsteady hydrodynamic flows with narrow thermal layers is described. It is used for the simulation of high speed heating by friction under the shock compression of a plate on a wedge.

[1] Rai M. M., Chakravarthy S. R., “An implicit form of the Osher upwing scheme”, AIAA J., 24:5 (1986), 735–743 | DOI | MR | Zbl

[2] Ivanov M. Ya., Nigmatullin R. Z., “Neyavnaya skhema S. K. Godunova povyshennoi tochnosti dlya chislennogo integrirovaniya uravnenii Eilera”, Zh. vychisl. matem. i matem. fiz., 27:11 (1987), 1725–1735 | MR | Zbl

[3] Makhvidavze G. M., Scherbak S. B., Raznostnaya skhema dlya chislennogo issledovaniya nestatsionarnykh dvumernykh dvizhenii szhimaemogo gaza, Preprint No 113, IPMekhan. AN SSSR, M., 1978

[4] Goncharov V. A., Krivtsov V. M., Charakhchyan A. A., “Chislennaya skhema modelirovaniya dozvukovykh techenii vyazkogo szhimaemogo gaza”, Zh. vychisl. matem. i matem. fiz., 28:12 (1988), 1858–1866 | MR | Zbl

[5] Charakhchyan A. A., “Raschet szhatiya deiteriya v konicheskoi misheni v ramkakh uravnenii Nave–Stoksa dlya dvukhtemperaturnoi magnitnoi gidrodinamiki”, Zh. vychisl. matem. i matem. fiz., 33:5 (1993), 766–784 | MR

[6] Charakhch'yan A. A., “Compound difference schemes for time-dependent equations on nonuniform nets”, Communs. Numer. Meth. Eng., 10:2 (1994), 93–110 | DOI | MR

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

[8] van Leer B., “A second-order sequel to Godunov's method”, J. Comput. Phys., 32:1 (1979), 101–136 | DOI

[9] Charakhchyan A. A., “Ob algoritmakh rascheta raspada razryva dlya skhemy S. K. Godunova”, Zh. vychisl. matem. i matem. fiz., 40:5 (2000), 782–796 | MR

[10] Charakhchyan A. A., “Raschet vyazkogo nagreva plazmy, szhimaemoi udarnikom v konicheskoi misheni”, Zh. vychisl. matem. i matem. fiz., 30:5 (1990), 767–779 | MR

[11] De Bor K., Prakticheskoe rukovodstvo po splainam, Radio i svyaz, M., 1985 | MR | Zbl

[12] Belyakov G. V., Charakhchyan A. A., “O nagreve szhimaemoi zhidkosti postoyannym potokom tepla”, Prikl. mekhan. i tekhn. fiz., 44:2 (2003), 109–115 | Zbl

[13] Charakhchyan A. A., “Udarnoe szhatie plastiny na kline”, Prikl. mekhan. i tekhn. fiz., 42:1 (2001), 17–24 | MR

[14] Bushman A. V., Fortov V. E., Kanel G. I., Ni A. L., Intense dynamic loading of condensed matter, Taylor Francis, Washington, 1993

[15] Charakhchyan A. A., “O simmetrichnoi i nesimmetrichnoi skhemakh rasschepleniya dlya uravnenii gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 31:11 (1991), 1692–1705 | MR

[16] van Leer B., “Towards the altimate conservative difference scheme. IV. A new approach to numerical convection”, J. Comput. Phys., 23:3 (1977), 276–299 | DOI | Zbl

[17] Belyakov G. V., Charakhchyan A. A., “Vysokotemperaturnye effekty nagreva treniem”, VI Mezhdunar. simp. po radiatsionnoi plazmodinamike, NII “Inzhener”, M., 2003, 118–119

[18] Zeldovich Ya. B., Raizer Yu. P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii, Nauka, M., 1966

[19] Walsh J. M., Shreffler R. G., Willig F. J., “Limiting conditions for jet formation in high velocity collisions”, J. Appl. Phys., 24:3 (1953), 349–359 | DOI

[20] Zababakhin E. I., Zababakhin I. E., Yavleniya neogranichennoi kumulyatsii, Nauka, M., 1988

[21] Gryn V. I., Frolova A. A., Charakhchyan A. A., “Setochnyi generator barernogo tipa i ego primenenie dlya rascheta techenii s podvizhnymi granitsami”, Zh. vychisl. matem. i matem. fiz., 43:6 (2003), 902–908 | MR | Zbl