Dissipative Boussinesq equations

Details Dissipative Boussinesq equations Dissipative Boussinesq equations

2007-03-20

arxiv.org/abs/physics/0703192v3

C. R. Mecanique 335 (2007) 559-583

Physics

Classical Physics

40 pages, 15 figures, published in C. R. Mecanique 335 (2007) Other author's papers can be downloaded at http://www.cmla.ens-c

Scientific paper

10.1016/j.crme.2007.08.003

The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated numerically.

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