Conservation of energy for schemes applied to the propagation of shallow-water inertia-gravity waves in regions with varying depth

DOI<1521::AID-NME9>3.0.CO;2-F 10.1002/1097-0207(20001230)49:12<1521::AID-NME9>3.0.CO;2-FzbMath1005.76067OpenAlexW2006882942MaRDI QIDQ4525799

Terje O. Espelid, Jarle Berntsen, Knut Barthel

Publication date: 24 February 2003

Full work available at URL: https://doi.org/10.1002/1097-0207(20001230)49:12<1521::aid-nme9>3.0.co;2-f

zbMATH Keywords

numerical stabilityskew-symmetric matrixcentered differencesenergy growthgeophysical fluid flowsCoriolis termsvarying depthArakawa C-gridmodified weightingshallow-water inertia-gravity waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Instabilities of Boussinesq models in non-uniform depth, Energy conservation and physical optics for discrete long wave equations

Cites Work

• The effect of spatial discretization on the steady-state and transient solutions of a dispersive wave equation