Boussinesq-type equations are used to describe the propagation and transformation of free-surface waves in the nearshore region. The nonlinear and dispersive performance of the equations are determined by tunable parameters. Recently the authors presented conditions on the free parameters under which a Nwogu-type equations would yield bounded eigenspectra . This leads to a global conditional CFL time-step restriction which is shown to not be affected by the discretisation method and in this sense the CFL condition is tamed to impose a minimal constraint. In this paper we extend the previous study and provide numerical experimentswhich confirms the theoretical results also is valid in two horizontal dimensions.
|Title of host publication||Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014)|
|Number of pages||7|
|Publication status||Published - 2015|
|Event||18th European Conference on Mathematics for Industry - Taormina, Italy|
Duration: 9 Jun 2014 → 13 Jun 2014
Conference number: 18
|Conference||18th European Conference on Mathematics for Industry|
|Period||09/06/2014 → 13/06/2014|
Eskilsson, C., & Engsig-Karup, A. P. (2015). On Devising Boussinesq-type Equations with Bounded Eigenspectra: Two Horizontal Dimensions. In Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014) Springer.