RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki

Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 4, Pages 665–684 (Mi zvmmf10381)

Regularized shallow water equations for numerical simulation of flows with a moving shoreline
O. V. Bulatov, T. G. Elizarova

This publication is cited in the following articles:
  1. Aleksey Marchenko, Eugene Morozov, Dmitry Frey, Nataliya Marchenko, Geophysical Hydrodynamics of Currents, Waves, and Ice in the Atlantic Arctic, 2026, 293  crossref
  2. A. V. Ivanov, “O realizatsii modeli melkoi vody na baze kvazigazodinamicheskogo podkhoda v otkrytom programmnom komplekse OpenFOAM”, Preprinty IPM im. M. V. Keldysha, 2023, 028, 27 pp.  mathnet  crossref
  3. S. S. Khrapov, “Chislennoe modelirovanie gidrodinamicheskikh avarii: razmyv damb i zatoplenie territorii”, Vestnik Sankt-Peterburgskogo universiteta. Matematika. Mekhanika. Astronomiya, 10:2 (2023), 357–373  mathnet  crossref
  4. S. S. Khrapov, “Numerical Modeling of Hydrodynamic Accidents: Erosion of Dams and Flooding of Territories”, Vestnik St.Petersb. Univ.Math., 56:2 (2023), 261  crossref
  5. A. A. Zlotnik, T. A. Lomonosov, “On $L^2$-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations”, Comput. Math. Math. Phys., 62:12 (2022), 1817–1837  mathnet  mathnet  crossref  crossref
  6. Inessa I. Isaeva, Alexander A. Voronin, Alexander V. Khoperskov, Mikhail A. Kharitonov, “Modeling the Territorial Structure Dynamics of the Northern Part of the Volga-Akhtuba Floodplain”, Computation, 10:4 (2022), 62  crossref
  7. A. V. Ivanov, “Computer complex for modelling of sea currents using regularized shallow water equations”, Math. Models Comput. Simul., 14:3 (2022), 427–441  mathnet  crossref  crossref
  8. A. V. Marchenko, E. G. Morozov, A. V. Ivanov, T. G. Elizarova, D. I. Frey, “Ice thickening caused by freezing of tidal jet”, Russ. J. Earth Sci., 21:2 (2021), ES2004  crossref  isi
  9. T G Elizarova, A V Ivanov, A A Kuleshov, “Mathematical modeling of Russian northern coastal waters in the shallow water approximation”, J. Phys.: Conf. Ser., 1715:1 (2021), 012017  crossref
  10. S. S. Khrapov, A. V. Khoperskov, “Application of graphics processing units for self-consistent modelling of shallow water dynamics and sediment transport”, Lobachevskii J. Math., 41:8, SI (2020), 1475–1484  crossref  mathscinet  zmath  isi
  11. M. Bagherpoorfard, A. R. Soheili, “Moving mesh version of wave propagation algorithm based on augmented Riemann solver”, Appl. Math. Comput., 375 (2020), 125087  crossref  mathscinet  isi
  12. K. A. Sementsov, A. V. Bolshakova, “A model for the generation of waves in the ocean by seismic bottom movements in sigma-coordinates”, Mosc. Univ. Phys. Bull., 75:1 (2020), 87–94  crossref  adsnasa  isi
  13. T. G. Elizarova, A. V. Ivanov, “Numerical modeling of passive scalar transport in shallow water based on the quasi-gasdynamic approach”, Comput. Math. Math. Phys., 60:7 (2020), 1208–1227  mathnet  crossref  crossref  isi  elib
  14. M. A. Nosov, S. V. Kolesov, “Combined numerical model of tsunami”, Math. Models Comput. Simul., 11:5 (2019), 679–689  mathnet  crossref  crossref  elib
  15. T. Dyakonova, A. Klikunova, A. Khoperskov, “Hydraulic resistance due to unsteady flow in river channels: numerical simulation results”, International Conference Physica (Spb/2019), Journal of Physics Conference Series, 1400, eds. N. Averkiev, S. Poniaev, G. Sokolovskii, IOP Publishing Ltd, 2019, 077041  crossref  isi
  16. D. S. Saburin, T. G. Elizarova, “Modelling the Azov Sea circulation and extreme surges in 2013-2014 using the regularized shallow water equations”, Russ. J. Numer. Anal. Math. Model, 33:3 (2018), 173–185  crossref  mathscinet  zmath  isi
  17. A. Zlotnik, “On the energy dissipative spatial discretization of the barotropic quasi-gasdynamic and compressible Navier–Stokes equations in polar coordinates”, Russ. J. Numer. Anal. Math. Model, 33:3 (2018), 199–210  crossref  mathscinet  zmath  isi  scopus
  18. T. G. Elizarova, A. V. Ivanov, “Regularized equations for numerical simulation of flows in the two-layer shallow water approximation”, Comput. Math. Math. Phys., 58:5 (2018), 714–734  mathnet  crossref  crossref  isi  elib
  19. T. G. Elizarova, D. S. Saburin, “Application of the regularized shallow water equations for numerical simulation of casavie fluctuations in the Azov sea”, Math. Models Comput. Simul., 9:4 (2017), 423–436  mathnet  crossref  elib
  20. E. O. Agafonnikova, A. Yu. Klikunova, A. V. Khoperskov, “Computer simulation of the Volga river hydrological regime: problem of water-retaining dam optimal location”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 10:3 (2017), 148–155  mathnet  crossref  elib
  21. M. A. Nosov, “Adaptation of a mesh at numerical simulation of tsunami waves”, Math. Models Comput. Simul., 10:4 (2018), 431–440  mathnet  crossref  elib
  22. T. G. Elizarova, A. V. Ivanov, “Kvazigazodinamicheskii algoritm chislennogo resheniya dvukhsloinykh uravnenii melkoi vody”, Preprinty IPM im. M. V. Keldysha, 2016, 069, 27 pp.  mathnet  crossref


© Steklov Math. Inst. of RAS, 2026