Computation of Two-Dimensional Disturbances in an Elastic Body

Autor: A.A. Aganin, N.A. Khismatullina

Publikováno v: Учёные записки Казанского университета: Серия Физико-математические науки, Vol 159, Iss 2, Pp 143-160 (2017)

The classical Godunov method is widely used for the numerical study of waves in continuous media. If the Courant condition is satisfied, the Godunov scheme is stable and monotonous. However, due to its first order of accuracy it can lead to rather la

Externí odkaz: https://doaj.org/article/6703a82c74b3413f8e462a5f9e04dbff

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations

Autor: Paul A. Milewski, Dimitrios Mitsotakis, Denys Dutykh, Didier Clamond

Publikováno v: European Journal of Applied Mathematics
European Journal of Applied Mathematics, Cambridge University Press (CUP), 2013, 24 (5), pp.761-787. ⟨10.1017/S0956792513000168⟩
Dutykh, D, Clamond, D, Milewski, P & Mitsotakis, D 2013, ' Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations ', European Journal of Applied Mathematics, vol. 24, no. 5, pp. 761-787 . https://doi.org/10.1017/S0956792513000168

After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust and accurate finite volume scheme to solve these equations in one hori

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::509c7f58672bf6f73b534517fda2e8f9
https://doi.org/10.1017/s0956792513000168

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Modified Shallow Water Equations for significantly varying seabeds

Autor: Denys Dutykh, Didier Clamond

Publikováno v: Applied Mathematical Modelling
Applied Mathematical Modelling, Elsevier, 2016, 40 (23-24), pp.9767-9787. ⟨10.1016/j.apm.2016.06.033⟩

In the present study, we propose a modified version of the Nonlinear Shallow Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the bottom undergoes some significant variations in space and time. The model is deriv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a4c0622047feba988419f14bffd744e
http://arxiv.org/abs/1202.6542