IMIS - Marine Research Groups | Compendium Coast and Sea

IMIS - Marine Research Groups

[ report an error in this record ]basket (0): add | show Print this page
A one-dimensional benchmark for the propagation of Poincaré waves
White, L.; Legat, V.; Deleersnijder, E.; Le Roux, D. (2006). A one-dimensional benchmark for the propagation of Poincaré waves. Ocean Modelling 15(1-2): 101-123. dx.doi.org/10.1016/j.ocemod.2005.11.001
In: Ocean Modelling. Elsevier: Oxford. ISSN 1463-5003; e-ISSN 1463-5011, more
Peer reviewed article  
Available in  Authors 
Keywords
    Method of characteristics
    Riemann solver
Author keywords
    Poincaré waves; method of characteristics; discontinuous finite elements; Riemann solver
Project Top | Authors 
  • Second-generation Louvain-la-Neuve Ice-ocean Model, more
Authors  Top 
Abstract
    Several numerical methods are employed to solve the linear shallow-water equations describing the propagation of Poincaré waves within a one-dimensional finite domain. An analytical solution to the problem, set off by a discontinuous steplike elevation, is known and allows for assessing the accuracy and robustness of each method and in particular their ability to capture the traveling discontinuities without generating spurious oscillations. The following methods are implemented: the method of characteristics, the Galerkin finite-element method (FEM) and the discontinuous Galerkin FEM with two different ways of computing the numerical fluxes.
All data in the Integrated Marine Information System (IMIS) is subject to the VLIZ privacy policy Top | Authors