Oberseminar Numerische Mathematik / Scientific Computing
Piotr Smolarkiewicz
National Center for Atmospheric Research, Boulder, Colorado,USA
Multidimensional Positive Definite Advection Transport Algorithm (MPDATA): An Overview.
Abstract:
MPDATA was conceived in the early eighties as an inexpensive alternative to flux-limited schemes for evaluating the advection of nonnegative thermodynamic variables (such as water substance) in atmospheric cloud models. Since then, the basic scheme evolved into a class of powerful transport algorithms, with a variety of extensions that either enhance the accuracy and generality of the MPDATA advection, or expand its capabilities beyond advective transport to alternate PDEs and to complete flow solvers. Since mid nineties MPDATA has been employed in the high-performance 3D program EULAG for simulating rotating, stratified flows on scales from micro to global. Accumulating a substantial portfolio of challenging accomplishments, MPDATA has proven successful in a broad range of problems in various areas of computational fluid dynamics. Recently, the interests in MPDATA have been rejuvenated due to the conjunction of a few mutually-beneficial developments: (i) quantification of MPDATA implicit turbulence modeling capability in context of the monotonically integrated large eddy simulations (MILES); (ii) extensions to flow solvers cast in generalized time-dependent curvilinear coordinates; and (iii) unstructured-grid formulations. The purpose of this lecture is to provide an up to date comprehensive review of MPDATA, including the underlying concepts and the principles of implementation.
| Datum: | 02.02.2009 | Zeit: | 16:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |