MPDATA: A Finite-Difference Solver for Geophysical Flows
نویسندگان
چکیده
This article is a review of MPDATA, a class of methods for the numerical simulation of fluid flows based on the sign-preserving properties of upstream differencing. MPDATA was designed originally as an inexpensive alternative to flux-limited schemes for evaluating the advection of nonnegative thermodynamic variables (such as liquid water or water vapour) in atmospheric models. During the last decade, MPDATA has evolved from a simple advection scheme to a general approach for integrating the conservation laws of geophysical fluids on micro-to-planetary scales. The purpose of this paper is to summarize the basic concepts leading to a family of MPDATA schemes, to review existing MPDATA options, and to demonstrate the use of MPDATA to effectively construct two distinct types of models (elastic and anelastic) for complex geophysical flows. c © 1998 Academic Press
منابع مشابه
Solution-adaptive moving mesh solver for geophysical flows
Dynamical processes occurring in geophysical flows are characterised by the nonlinear interaction of various scales of motion. The accurate numerical representation of such flows is limited by the available number of mesh points covering the domain of interest. Numerical simulations applying uniformly distributed grid cells waste mesh points in regions of large motion scales whereas coexisting ...
متن کاملModelling atmospheric flows with adaptive moving meshes
To better accommodate the highly disparate length scales encountered in geophysical flows, we have extended EULAG with a solution-adaptive moving mesh capability [1]. The development builds on [2], where the authors set forth a time-dependent curvilinear coordinate formulation of the governing PDEs to enable dynamic mesh adaptivity in EULAG. Here, the anelastic flux-form dynamical core of EULAG...
متن کاملA Roe-type Scheme for Two-phase Shallow Granular Flows over Variable Topography
We study a depth-averaged model of gravity-driven flows made of solid grains and fluid, moving over variable basal surface. In particular, we are interested in applications to geophysical flows such as avalanches and debris flows, which typically contain both solid material and interstitial fluid. The model system consists of mass and momentum balance equations for the solid and fluid component...
متن کاملAn unstructured-mesh atmospheric model for nonhydrostatic dynamics: Towards optimal mesh resolution
The paper advances the limited-area anelastic model [Smolarkiewicz et al., J. Comput. Phys., 254 (2013) 184] for investigation of nonhydrostatic dynamics in mesoscale atmospheric flows. New developments include the extension to a tetrahedral-based median-dual option for unstructured meshes and a static mesh adaptivity technique using an error indicator based on inherent properties of the Multid...
متن کامل