A time-split transport scheme has been developed for the high-order multiscale atmospheric model (HOMAM). The spacial discretization of HOMAM is based on the discontinuous Galerkin method, combining the 2D horizontal elements on the cubed-sphere surface and 1D vertical elements in a terrain-following height-based coordinate. The accuracy of the time-splitting scheme is tested with a set of new ...

systems in which reaction terms are coupled to diffusion and advection transports arise in awide range of chemical engineering applications, physics, biology and environmental. in these cases, thecomponents of the unknown can denote concentrations or population sizes which represent quantities andthey need to remain positive. classical finite difference schemes may produce numerical drawbacks s...

[1] A high resolution (0.08 at equator) HYbrid Coordinate Ocean Model (HYCOM) simulation is evaluated using observations for the period 1993–2003 for a western Pacific region containing the Kuroshio Extension (KE) (25–45 N and 135–180 E). Comparisons are made for the KE path and strength and for the upper ocean heat budget. The mean strength and path agree well with observations, except near th...

Version: September 12, 2000 Abstract. We consider in this paper a semi{Lagrangian technique to treat advection{di usion equations. The scheme is based on a stochastic representation formula for the solution which allows to avoid the splitting between advective and di usive part of the evolution operator. This results in a somewhat reduced computational complexity, as well as the possibility to ...

The coarse grid of numerical weather prediction and climate models requires parametrization models to resolve atmospheric processes that are smaller than the grid size. For parametrization development, these processes are simulated by a high resolution model. At the Royal Netherlands Meteorological Institute, the Dutch Atmospheric Large-Eddy Simulation (DALES) is used [15]. This three-dimension...

We present and test a new hybrid numerical method for simulating layerwise-twodimensional geophysical flows. The method radically extends the original ContourAdvective Semi-Lagrangian (CASL) algorithm (Dritschel & Ambaum, 1997) by combining three computational elements for the advection of general tracers (e.g. potential vorticity, water vapor, etc.): (1) a pseudo-spectral method for large scal...

The study is dedicated to the peculiarities of implementing flux limiter flow quantity gradient when solving 3D aerodynamic problems using system Navier–Stokes equations on unstructured meshes. paper describes discretisation a finite-volume method and mathematical model including Spalart–Allmaras turbulence Advection Upstream Splitting Method (AUSM+) computational scheme for convective fluxes t...

We present a splitting method for the one-dimensional Saint-Venant-Exner equations used describing bed evolution in shallow water systems. adapt flux vector approach of Toro and Vazquez-Cend\`on identify one subsystem conservative (advection system) non-conservative (pressure system), both having very simple eigenstructure compared to full system. The final numerical scheme is constructed using...