Semi-Lagrangian semi-implicit time-splitting scheme for a regional model of the atmosphere

A semi-Lagrangian scheme for L-penalized minimum time problems

In this paper we consider a semi-Lagrangian scheme for minimum time problems with L-penalization. The minimum time function of the penalized control problem can be characterized as the solution of a Hamilton-Jacobi Bellman (HJB) equation. Furthermore, the minimum time converges with respect to the penalization parameter to the minimum time of the non-penalized problem. To solve the control prob...

A Semi-implicit Semi-lagrangian Shallow-water Model for Massively Parallel Processors

The formulation of a grid point shallow-water model proposed by C^ ot e and Stan-iforth is described. The model employs a hybrid nite-volume//nite-element spatial discretisation on a staggered Arakawa B type grid, where the geopoten-tial is computed at grid points and the wind u is found at grid cell centers. Time integration is based upon a two-time-level semi-implicit, semi-Lagrangian scheme....

Semi-implicit Scheme for the Spectral Element Atmospheric Model

A Hermite-Type Adaptive Semi-Lagrangian Scheme

Adaptive semi-Lagrangian schemes for solving the Vlasov equation in the phase space have recently been developed. They include wavelet techniques (Gutnic et al., 2004; Gutnic et al., 2005), the moving mesh method (Sonnendrücker et al., 2004), and hierarchical finite element decomposition (Campos Pinto and Mehrenberger, 2004; Campos Pinto and Mehrenberger, 2005). One main advantage of the latter...

A Semi-Implicit Semi-Lagrangian Finite-Element Shallow-Water Ocean Model

The nite-element, semi-implicit, and semi-Lagrangian methods are combined together to solve the shallow-water equations using unstructured triangular meshes. Triangular nite elements are attractive for ocean modeling because of their exibility for representing irregular boundaries and for local mesh re nement. A \kriging" interpolator is used for the semi-Lagrangian advection, leading to an acc...