TY - JOUR
T1 - A fully-implicit model of the global ocean circulation
AU - Weijer, Wilbert
AU - Dijkstra, Henk A.
AU - Öksüzoǧlu, Hakan
AU - Wubs, Fred W.
AU - de Niet, Arie C.
PY - 2003/12/10
Y1 - 2003/12/10
N2 - With the recent developments in the solution methods for large-dimensional nonlinear algebraic systems, fully-implicit ocean circulation models are now becoming feasible. In this paper, the formulation of such a three-dimensional global ocean model is presented. With this implicit model, the sensitivity of steady states to parameters can be investigated efficiently using continuation methods. In addition, the implicit formulation allows for much larger time steps than can be used with explicit models. To demonstrate current capabilities of the implicit global ocean model, we use a relatively low-resolution (4° horizontally and 12 levels vertically) version. For this configuration, we present: (i) an explicit calculation of the bifurcation diagram associated with hysteresis behavior of the ocean circulation and (ii) the scaling behavior of the Atlantic meridional overturning versus the magnitude of the vertical mixing coefficient of heat and salt.
AB - With the recent developments in the solution methods for large-dimensional nonlinear algebraic systems, fully-implicit ocean circulation models are now becoming feasible. In this paper, the formulation of such a three-dimensional global ocean model is presented. With this implicit model, the sensitivity of steady states to parameters can be investigated efficiently using continuation methods. In addition, the implicit formulation allows for much larger time steps than can be used with explicit models. To demonstrate current capabilities of the implicit global ocean model, we use a relatively low-resolution (4° horizontally and 12 levels vertically) version. For this configuration, we present: (i) an explicit calculation of the bifurcation diagram associated with hysteresis behavior of the ocean circulation and (ii) the scaling behavior of the Atlantic meridional overturning versus the magnitude of the vertical mixing coefficient of heat and salt.
KW - Hysteresis behavior
KW - Iterative linear systems solver
KW - Numerical bifurcation theory
KW - Stability of geophysical flows
UR - http://www.scopus.com/inward/record.url?scp=0345017135&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2003.07.017
DO - 10.1016/j.jcp.2003.07.017
M3 - Article
AN - SCOPUS:0345017135
SN - 0021-9991
VL - 192
SP - 452
EP - 470
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -