A Parallel Solver of Diffusion-Advection Equations
Project team
Research Objectives
One of the main challenges in the field of computational intensive numerical
applications is the development of methods for solving time dependent
diffusion-advection equations in parallel. This problem has been recently
examined intensively because of its crucial importance in modelling many physical
and chemical processes, e.g. the transport of air pollutants in the sphere.
Zoltan Horvath and I are working on the development of a novel parallel
method for the numerical solution of initial value problems for systems of
ordinary differential equations which arise from semidiscretization of
partial differential equations describing diffusion and advection of some
species. This method relies on splitting techniques developed by Z. Horvath
and is very promising in several ways.
Firstly, these techniques allow the computational work to be divided into a large
number of subcomputations which can be executed efficiently in parallel.
Secondly, initial experiments for 1D linear test problems showed that the
numerical properties of the method (such as stability and accuracy) are
comparable to convential sequential methods. Moreover, a qualitative property
of the numerical solution, the preservation of nonnegativity of the initial data
independently of the time step size, is, up till now, only obtained by these
techniques, providing a higher order of accuracy.
This research is supported by the Netherlands Organisation for Scientific Research (NWO)
under Grant No. R 62-440.
Collaborations
Close collaboration exists with Dr. Z. Horvath
from the Szechenyi Istvan College, Gyor, Hungary.
Intended results, deliverables
Design and implementation of a parallel solver of diffusion-advection equations
for a wide range of shared and distributed memory architectures.
Timetable
Starting date: October 1994
Ending date: ...
Last modified on July 2, 1996 by Lex Wolters.