Debreu L., Kevlahan N. K. R., Marchesiello Patrick. (2020). Brinkman volume penalization for bathymetry in three-dimensional ocean models. Ocean Modelling, 145, 101530 [13 p.]. ISSN 1463-5003.
Titre du document
Brinkman volume penalization for bathymetry in three-dimensional ocean models
Année de publication
Debreu L., Kevlahan N. K. R., Marchesiello Patrick
Ocean Modelling, 2020,
145, 101530 [13 p.] ISSN 1463-5003
Accurate and stable implementation of bathymetry boundary conditions remains a challenging problem. The dynamics of ocean flow often depend sensitively on satisfying bathymetry boundary conditions and correctly representing their complex geometry. Generalized (e.g. sigma) terrain-following coordinates are often used in ocean models, but they require smoothing the bathymetry to reduce pressure gradient errors (Mellor a al., 1994). Geopotential z-coordinates are a common alternative that avoid pressure gradient and numerical diapycnal diffusion errors, but they generate spurious flow due to their "staircase" geometry. We introduce a new Brinkman volume penalization to approximate the no-slip boundary condition and complex geometry of bathymetry in ocean models. This approach corrects the staircase effect of z-coordinates, does not introduce any new stability constraints on the geometry of the bathymetry and is easy to implement in an existing ocean model. The porosity parameter allows modelling subgrid scale details of the geometry. We illustrate the penalization and confirm its accuracy by applying it to three standard test flows: upwelling over a sloping bottom, resting state over a seamount and internal fides over highly peaked bathymetry features. In future work we will explore applying the penalization to more realistic bathymetry configurations, and moving boundaries such as melting/freezing ice shelves.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche 
Limnologie physique / Océanographie physique 
Fonds IRD [F B010077471]