Features of SPH gas dynamics for modeling of nonlinear gravitational waves in multiphase medium
Matematičeskoe modelirovanie, Tome 22 (2010) no. 5, pp. 29-44.

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SPH is widely adopted to treat gas dynamics in astrophysical calculations. One of the most state-of-art problems is connected with testing codes based on this method and verification of nonstationary solutions provided by the codes. Description of developed SPH-code Sombrero and results of modeling of axi-symmetrical and radial-azimuth perturbations spreading in multiphase gravitational medium are presented in the article. By means of comparison of numerical results obtained using SPH and FLIC methods, we have demonstrated ability of SPH to reproduce nonlinear waves in gas-collisionless bodies' medium even if shear and cross-current flows take place in the system.
Keywords: SPH, multiphase gravitational disc, ring-like waves
Mots-clés : spiral structures.
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O. Stoyanovskaya; V. Snytnikov. Features of SPH gas dynamics for modeling of nonlinear gravitational waves in multiphase medium. Matematičeskoe modelirovanie, Tome 22 (2010) no. 5, pp. 29-44. http://geodesic.mathdoc.fr/item/MM_2010_22_5_a2/

[1] Tasker E. J., Brunino R., Mitchell N. L., Michielsen D., Hopton S., Pearce F. R., Bryan G. L., Theuns T., A test suite for quantitative comparison of hydrodynamics codes in astrophysics, arXiv: 0808.1844v1[astro-ph]

[2] Thacker R. J., Tittley E. R., Pearce F. R., Couchman H. M. P., Thomas P. A., “Smoothed Particle Hydrodynamics in Cosmology: A Comparative Study of Implementations”, Mon. Not. R. Astron. Soc., 319 (2000), 619–648 | DOI

[3] Snytnikov V. N., Parmon V. N., Vshivkov V. A., Dudnikova G. I., Nikitin S. A., Snytnikov A. V., “Chislennoe modelirovanie gravitatsionnykh sistem mnogikh tel s gazom”, Vychisl. tekhnologii, 7:3 (2002), 72–85 | MR

[4] Bate M. R., Burkert A., “Resolution requirements for smoothed particle hydrodynamics calculations with self-gravity”, Mon. Not. R. Astron. Soc., 288:4 (1997), 1060–1072

[5] Nelson A. F., “Numerical requirements for simulations of self-gravitating and non-self-gravitating discs”, Mon. Not. R. Astron. Soc., 373:3 (2007), 1039–1073 | DOI

[6] Commercon B., Hennebelle P., Audit E., Chabrier G., Teyssier R., Numerical methods comparison for protostellar collapse calculations, arXiv: 0709.2450

[7] Mayer L., Gawryszczak A., Protoplanetary disk fragmentation with varying radiative physics, initial conditions and numerical techniques, arXiv: 0710.3590

[8] Snytnikov V. N., Vshivkov V. A., Kuksheva E. A., Neupokoev E. V., Nikitin S. A., Snytnikov A. V., “Trekhmernoe chislennoe modelirovanie nestatsionarnykh sistem $N$-tel s gazom”, Pisma v astronomicheskii zhurnal, 30:2 (2004), 146–160

[9] Gingold R. A., Monaghan J. J., “Smoothed particle hydrodynamics: theory and application to non-spherical stars”, Mon. Not. R. Astron. Soc., 181 (1977), 375 | Zbl

[10] Lucy L. B., “A numerical approach to the testing of the fission hypothesis”, Astron. Journal, 82 (1977), 1013 | DOI

[11] Wadsley J. W., Veeravalli G., Couchman H. M. P., “On the treatment of entropy mixing in numerical cosmology”, Mon. Not. R. Astron. Soc., 387 (2008), 427–438 | DOI

[12] Monaghan J. J., “On the Problem of Penetration in Particle Methods”, Journal of Comput. Physics, 82 (1989), 1–15 | DOI | Zbl

[13] Snytnikov V. N., “Astrokataliz – abiogennyi sintez i khimicheskaya evolyutsiya na dogeologicheskikh etapakh formirovaniya Zemli”, Problemy proiskhozhdeniya zhizni, eds. Rozanov A. Yu., Lopatin A. V., Snytnikov V. N., PIN RAN, M., 2009, 79–102

[14] Zabrodin A. V., Zabrodina E. A., Legkostupov M. S., Manukovskii K. V., Pliner L. A., Nekotorye modeli opisaniya protoplanetnogo diska Solntsa na nachalnoi stadii ego evolyutsii, prepr. No 70, IPM im. M. V. Keldysha RAN, M., 2006, 44 pp.

[15] Marov M. Ya., Kolesnichenko A. V., Makalkin A. B., Dorofeeva V. A., Ziglina I. N., Chernov A. V., “Ot protosolnechnogo oblaka k planetnoi sisteme: Model evolyutsii gazopylevogo diska”, Problemy zarozhdeniya i evolyutsii biosfery, ed. Galimov E. M., Librokom, M., 2008, 329–344

[16] Armitage P. J., Lecture notes on the formation and early evolution of planetary systems, Based on lectures given at the University of Colorado, Boulder, in Fall 2006, arXiv: astro-ph/0701485v1

[17] Stoyanovskaya O. P., Snytnikov V. N., “Influence of chemical reactions on gravitational fragmentation of gas-dust disc”, Proceedings of the 4th SPHERIC Workshop, Nantes, France, 2009, 85–89

[18] Vshivkov V. A., Kuksheva E. A., Nikitin S. A., Snytnikov A. V., Snytnikov V. N., “O parallelnoi realizatsii chislennoi modeli fiziki gravitiruyuschikh sistem”, Avtometriya, 39:3 (2003), 115–123

[19] Monaghan J. J., “Smoothed particle hydrodynamics”, Ann. Rev. Astron. Astrophys., 30 (1992), 543–574 | DOI

[20] Vshivkov V. A., Markelova T. V., Shelekhov V. I., “Ob algoritmakh sortirovki v metode chastits v yacheikakh”, Nauchnyi vestnik NGTU, 4:33 (2008), 79–94

[21] Belotserkovskii O. M., Davydov Yu. M., Metod krupnykh chastits v gazovoi dinamike, Nauka, M., 1982