Practical evaluation of five partly discontinuous finite element pairs for the non‐conservative shallow water equations

• DOI: 10.1002/fld.2094
• Publication Date: 2009-07-01T01:53:32Z
• Authors: Richard Comblen; Jonathan Lambrechts; Jean‐François Rem...; Vincent Legat
• Keywords: Inviscid flow; Solver; Shallow water equations

Abstract This paper provides a comparison of five finite element pairs for the shallow water equations. We consider continuous, discontinuous and partially formulations that are supposed to provide second‐order spatial accuracy. All them rely on same weak formulation, using Riemann solver evaluate interface integrals. define several asymptotic limit cases equations within their space parameters. The idea is develop these numerical schemes in relevant regimes subcritical flow. Finally, new pair, non‐conforming linear elements both velocities elevation ( P − ), presented, giving optimal rates convergence all test cases. 1 mixed lack inviscid flows. 2 pair more expensive but accurate results benchmarks. an efficient option, except Coriolis‐dominated flows, where small observed. Copyright © 2009 John Wiley & Sons, Ltd.