Central-Upwind Schemes for Boussinesq Paradigm Equations

Author:

Chertock Alina,Christov Christo I.,Kurganov Alexander

Publisher

Springer Berlin Heidelberg

Reference16 articles.

1. Boussinesq, J.V.: Théorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. J. Mathématiques Pures et Appliquées 17, 55–108 (1872)

2. Christou, M.A., Christov, C.I.: Localized waves for the regularized long wave equation via a Galerkin spectral method. Math. Comput. Simul. 69, 257–268 (2005)

3. Christov, C.I.: Conservative difference scheme for Boussinesq model of surface waves. In: Morton, W.K., Baines, M.J. (eds.) Proc. ICFD V, pp. 343–349. Oxford University Press, Oxford (1995)

4. Christov, C.I.: An energy-consistent Galilean-invariant dispersive shallow-water model. Wave Motion 34, 161–174 (2001)

5. Christov, C.I., Choudhury, J.: Perturbation solution for the 2D shallow-water waves. Mech. Res. Commun. (2009) (submitted)

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