Dissipative Boussinesq equations

Abstract

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.

Keywords

Bibliographic record

BibTeX Citation

@article{Dutykh2007dissipativeboussinesq,
  author = {Dutykh, D. and Dias, F.},
  title = {Dissipative Boussinesq equations},
  journal = {C. R. Mcanique},
  year = {2007},
  volume = {335},
  pages = {559--583},
  doi = {10.1016/j.crme.2007.08.003},
  abstract = {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.},
  keywords = {free surface flows, long waves modelling, Boussinesq equations, dissipation}
}