Article information
2011 , Volume 16, ¹ 6, p.74-84
Fedotova Z.I., Khakimzyanov G.S.
Boussinesq equations on a rotating sphere
The system of Boussinesq-type nonlinear and dispersive equations for motions on the surface of a rotating attractive sphere is derived. Using the transition to the linear velocity and linear coordinates on the surface of a sphere, the interrelation with the well-known Boussinesq models on the plane is established. The formulation of Boussinesq equations in the form suitable for the construction of computational algorithms is given.
[full text] Keywords: surface water waves, shallow water equations on a sphere, Boussinesq equations, nonlinear-dispersive equations
Author(s): Fedotova Zinaida Ivanovna PhD. Position: Senior Research Scientist Office: Federal Research Center for Information and Computational Technologies Address: 630090, Russia, Novosibirsk, Lavrentiev ave. 6
Phone Office: (383) 334-91-21 E-mail: zf@ict.nsc.ru Khakimzyanov Gayaz Salimovich Dr. , Professor Position: Leading research officer Office: Federal Research Center for Information and Computational Technologies Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56 E-mail: khak@ict.nsc.ru SPIN-code: 3144-0877 Bibliography link: Fedotova Z.I., Khakimzyanov G.S. Boussinesq equations on a rotating sphere // Computational technologies. 2011. V. 16. ¹ 6. P. 74-84
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