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physics.flu-dyn2011★ 20 cited
Nonlinear dynamics of magnetohydrodynamic flows of heavy fluid over an arbitrary surface in shallow water approximation
Kirill Karelsky, Arakel Petrosyan, Stepan Tarasevich
The magnetohydrodynamic equations system for heavy fluid over an arbitrary surface in shallow water approximation is studied in the present paper. It is shown that simple wave solu…
physics.flu-dyn2011
Quasi-two-layer finite-volume scheme for modeling shallow water flows with the presence of external forces
K. V. Karelsky, A. S. Petrosyan, A. G. Slavin
Finite-volume numerical method for study shallow water flows over an arbitrary bed profile in the presence of external force is proposed. This method uses the quasi-two-layer model…