The inviscid multi-layer quasi-geostrophic equations are considered over an arbitrary bounded domain. The no-flux but non-homogeneous boundary conditions are imposed to accommodate the free fluctuations of the top and layer interfaces. Using the …
The inviscid barotropic quasi-geostrophic equation with a free surface is considered. The free surface mandates a non-standard boundary condition. The global existence existence and uniqueness of a weak solution is established, thanks to the uniform …
In this paper, the application of the multilevel Monte Carlo (MLMC) method to numerical simulations of turbulent flows with uncertain parameters is investigated. Several strategies for setting up the MLMC method are presented, and the advantages and …
In this article we propose finite-volume schemes for solving the inviscid and viscous quasi-geostrophic equations on coastal-conforming unstructured primal?dual meshes. Several approaches for enforcing the boundary conditions are also explored along …
This work combines the consistency in lower-order differential operators with external approximations of functional spaces to obtain error estimates for finite difference finite volume schemes on unstructured non-uniform meshes. This combined …
The use of spatially varying eddy diffusivities is explored with the extended GenttextbackslashtextendashMcWilliams (eGM) closure for both passive tracers and potential vorticity (.