Add to ORKGTo understand the physics and dynamics of the ocean circulation, techniques of numerical bifurcation theory such as continuation methods have proved to be useful. Up to now these techniques have been applied to models with relatively few degrees of freedom such as multi-layer quasi-geostrophic and shallow-water models and relatively low-resolution (e.g., 4° horizontal resolution) primitive equation models. In this paper, we present a new approach in which continuation methods are combined with parallel numerical linear system solvers. With this implementation, we show that it is possible to compute steady states versus parameters (and perform fully implicit time integration) of primitive equation ocean models with up to a few million degree...
The steady state bifurcation structure of the double-gyre wind-driven ocean circulation is examined ...
We provide an overview of numerical bifurcation methods and how they can help one understand the var...
In linear, three-dimensional, continuously stratified equatorial β-plane ocean models with arbitrary...
To understand the physics and dynamics of the ocean circulation, techniques of numerical bifurcation...
In this paper, we present a new linear system solver for use in a fully-implicit ocean model. The ne...
In this paper, a fully implicit numerical model of the three-dimensional thermoha-line ocean circula...
With the recent developments in the solution methods for large-dimensional nonlinear algebraic syste...
In this paper, a fully implicit numerical model of the three-dimensional thermohaline ocean circulat...
This report considers the numerical efficiency of part of a model for three-dimensional ocean circul...
Within a low-resolution primitive-equation model of the three-dimensional ocean circulation, a bifu...
Within a low-resolution primitive-equation model of the three-dimensional ocean circulation, a bifu...
The climate on earth is largely determined by the global ocean circulation. Hence it is important to...
A specific example will be considered in which continuation methods are used to study fundamental p...
A study of the stability of the global ocean circulation is performed within a coarse-resolution gen...
The steady state bifurcation structure of the double-gyre wind-driven ocean circulation is examined ...
We provide an overview of numerical bifurcation methods and how they can help one understand the var...
In linear, three-dimensional, continuously stratified equatorial β-plane ocean models with arbitrary...
To understand the physics and dynamics of the ocean circulation, techniques of numerical bifurcation...
In this paper, we present a new linear system solver for use in a fully-implicit ocean model. The ne...
In this paper, a fully implicit numerical model of the three-dimensional thermoha-line ocean circula...
With the recent developments in the solution methods for large-dimensional nonlinear algebraic syste...
In this paper, a fully implicit numerical model of the three-dimensional thermohaline ocean circulat...
This report considers the numerical efficiency of part of a model for three-dimensional ocean circul...
Within a low-resolution primitive-equation model of the three-dimensional ocean circulation, a bifu...
Within a low-resolution primitive-equation model of the three-dimensional ocean circulation, a bifu...
The climate on earth is largely determined by the global ocean circulation. Hence it is important to...
A specific example will be considered in which continuation methods are used to study fundamental p...
A study of the stability of the global ocean circulation is performed within a coarse-resolution gen...
The steady state bifurcation structure of the double-gyre wind-driven ocean circulation is examined ...
We provide an overview of numerical bifurcation methods and how they can help one understand the var...
In linear, three-dimensional, continuously stratified equatorial β-plane ocean models with arbitrary...