46
V. A. Gushchin et al.
8. Glotov, V., Goloviznin, V., Kanaev, A., Kondakov, V., Kiselev, A.: CABARET scheme for
modelling the stratification erosion in gas mixtures in hydrogen mitigation experiments for
reactor safety. J. Phys.: Conf. Ser. 1392(1), 012039.1–012039.7 (2019)
9. Belotserkovskii, O., Gushchin, V., Kon’shin, V.: The splitting method for investigating flows
of a stratified liquid with a free surface. USSR Comput. Math. Math. Phys. 27(2), 181–191
(1987)
10. Gushchin, V., Kondakov, V.: On the Cabaret scheme for incompressible fluid flow problems
with a free surface. Math. Models Comput. Simul. 11(4), 499–508 (2019)
11. Gushchin, V.: The splitting method for problems of the dynamics of an inhomogeneous viscous
incompressible fluid. USSR Comput. Math. Math. Phys. 21(4), 190–204 (1981)
12. Gushchin, V., Kondakov, V.: Solution of the problems of nonhomogeneous in-compressible
fluid dynamics by the CABARET method. AIP Conf. Proc. 2164(1), 120007.1–120007.8
(2019)
13. Gushchin, V., Kondakov, V.: Mathematical modeling of free-surface flows using multiprocessor
computing systems. J. Phys.: Conf. Ser. 1392(1), 012042.1–012042.6 (2019)
14. Gushchin, V., Smirnova, I.: On one approach for mathematical modeling of the mixed zones
dynamics in a stratified fluid. AIP Conf. Proc. 2172(1), 070017.1–070017.7 (2019)
15. Gushchin, V., Smirnova, I.: The splitting scheme for mathematical modeling of the mixed
region dynamics in a stratified fluid. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov,
D.L. (eds.) Advances in Theory and Practice of Computational Mechanics. Smart Innovation,
Systems and Technologies, vol. 173, pp. 11–21. Springer, Singapore (2020)
16. Barenblatt, G.: Dynamics of turbulent spots and intrusions in stably stratified fluid. Izv. Acad.
Sci. USSR. Phys. Atmos. Ocean 14(2), 195–206 (1978) (in Russian)
17. Gushchin, V., Mitkin, V., Rozhdestvenskaya, T., Chashechkin, Yu.D.: Numerical and experimental study of the fine structure of a stratified fluid flow over a circular cylinder. J. Appl.
Mech. Tech. Phys. 48, 34–43 (2007)
18. Gushchin, V., Matyushin, P.: Simulation and study of stratified flows around finite bodies.
Comput. Math. Math. Phys. 56, 1034–1047 (2016)
19. Gushchin, V., Kopysov, A.: The dynamics of a spherical mixing zone in a stratified fluid and
its acoustic radiation. Comput. Math. Math. Phys. 31(6), 51–60 (1991)
20. Gushchin, V., Smirnova, I.: Mathematical modeling of spot dynamics in a stratified medium.
Comput. Math. Math. Phys. 60(5), 879–894 (2020)
21. Gushchin, V., Kondakov, V.: One approach of solving tasks in the presence of free surface using
a multiprocessor computing systems. In: Lirkov, I., Margenov, S. (eds.) Large-Scale Scientific
Computing. LSSC 2019. LNCS, vol. 11958, pp. 324–331. Springer, Cham (2020)
22. Kuznetsov, Yu., Rossi, T.: Fast direct method for solving algebraic systems with separable
symmetric band matrices. East-West J. Numer. Math. 4(1), 53–68 (1996)
23. Wessel, W.: Numerical study of the collapse of a perturbation in an infinite density stratified
fluid. Phys. Fluids 12(12), 170–176 (1969)
24. Zatsepin, G., Fedorov, K.N., Voropaev, S.I., Pavlov, A.M.: Experimental research of collapse
mixed spot in stratified fluid. Izv. Acad. Sci. USSR. Phys. Atmos. Ocean 14(2), 234–237 (1978)
(in Russian)
V. A. Gushchin et al.
8. Glotov, V., Goloviznin, V., Kanaev, A., Kondakov, V., Kiselev, A.: CABARET scheme for
modelling the stratification erosion in gas mixtures in hydrogen mitigation experiments for
reactor safety. J. Phys.: Conf. Ser. 1392(1), 012039.1–012039.7 (2019)
9. Belotserkovskii, O., Gushchin, V., Kon’shin, V.: The splitting method for investigating flows
of a stratified liquid with a free surface. USSR Comput. Math. Math. Phys. 27(2), 181–191
(1987)
10. Gushchin, V., Kondakov, V.: On the Cabaret scheme for incompressible fluid flow problems
with a free surface. Math. Models Comput. Simul. 11(4), 499–508 (2019)
11. Gushchin, V.: The splitting method for problems of the dynamics of an inhomogeneous viscous
incompressible fluid. USSR Comput. Math. Math. Phys. 21(4), 190–204 (1981)
12. Gushchin, V., Kondakov, V.: Solution of the problems of nonhomogeneous in-compressible
fluid dynamics by the CABARET method. AIP Conf. Proc. 2164(1), 120007.1–120007.8
(2019)
13. Gushchin, V., Kondakov, V.: Mathematical modeling of free-surface flows using multiprocessor
computing systems. J. Phys.: Conf. Ser. 1392(1), 012042.1–012042.6 (2019)
14. Gushchin, V., Smirnova, I.: On one approach for mathematical modeling of the mixed zones
dynamics in a stratified fluid. AIP Conf. Proc. 2172(1), 070017.1–070017.7 (2019)
15. Gushchin, V., Smirnova, I.: The splitting scheme for mathematical modeling of the mixed
region dynamics in a stratified fluid. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov,
D.L. (eds.) Advances in Theory and Practice of Computational Mechanics. Smart Innovation,
Systems and Technologies, vol. 173, pp. 11–21. Springer, Singapore (2020)
16. Barenblatt, G.: Dynamics of turbulent spots and intrusions in stably stratified fluid. Izv. Acad.
Sci. USSR. Phys. Atmos. Ocean 14(2), 195–206 (1978) (in Russian)
17. Gushchin, V., Mitkin, V., Rozhdestvenskaya, T., Chashechkin, Yu.D.: Numerical and experimental study of the fine structure of a stratified fluid flow over a circular cylinder. J. Appl.
Mech. Tech. Phys. 48, 34–43 (2007)
18. Gushchin, V., Matyushin, P.: Simulation and study of stratified flows around finite bodies.
Comput. Math. Math. Phys. 56, 1034–1047 (2016)
19. Gushchin, V., Kopysov, A.: The dynamics of a spherical mixing zone in a stratified fluid and
its acoustic radiation. Comput. Math. Math. Phys. 31(6), 51–60 (1991)
20. Gushchin, V., Smirnova, I.: Mathematical modeling of spot dynamics in a stratified medium.
Comput. Math. Math. Phys. 60(5), 879–894 (2020)
21. Gushchin, V., Kondakov, V.: One approach of solving tasks in the presence of free surface using
a multiprocessor computing systems. In: Lirkov, I., Margenov, S. (eds.) Large-Scale Scientific
Computing. LSSC 2019. LNCS, vol. 11958, pp. 324–331. Springer, Cham (2020)
22. Kuznetsov, Yu., Rossi, T.: Fast direct method for solving algebraic systems with separable
symmetric band matrices. East-West J. Numer. Math. 4(1), 53–68 (1996)
23. Wessel, W.: Numerical study of the collapse of a perturbation in an infinite density stratified
fluid. Phys. Fluids 12(12), 170–176 (1969)
24. Zatsepin, G., Fedorov, K.N., Voropaev, S.I., Pavlov, A.M.: Experimental research of collapse
mixed spot in stratified fluid. Izv. Acad. Sci. USSR. Phys. Atmos. Ocean 14(2), 234–237 (1978)
(in Russian)