P. Angot et M. Laugier, THE FIC METHOD OF CONSERVATIVE CONNECTION BETWEEN NESTED SUBDOMAINS FOR AN OCEAN CIRCULATION MODEL, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 319(9), 1994, pp. 993-1000
We present an adapted version of the so-called FIC - Flux interface Co
rrection - Zoom method for a numerical model of dynamical oceanography
. The principle of such no algorithm is to satisfy, over a given contr
ol volume, a weak continuity relation of the solution fluxes between t
wo non-matching grids of a non-conformal mesh. When combined within a
multigrid local mesh refinement technique, it allows then a conservati
ve joining of the nested subdomains. This method is applied to one aca
demic problem relevant to oceanic circulation phenomena, a barotropic
modon, representative of mean-scale oceanic eddies.