Title
Eulerian-Lagrangian time-stepping methods for convection-dominated problems
Abstract
The accuracy and efficiency of several lower and higher order time integration schemes in Eulerian-Lagrangian computations are investigated for solution of convection-diffusion problems with nonlinear reaction terms. The implementation of these schemes differs from their Eulerian counterparts in the fact that they are applied during each time step, along the characteristic curves rather than in the time direction. The major focus is to examine the computational characteristics of a class of implicit, explicit, and implicit-explicit time marching methods combined with the Eulerian-Lagrangian procedure. The obtained results for several benchmark problems are considered to be representative, and might be helpful for a fair rating of solution schemes, particularly in long time computations.
Year
DOI
Venue
2008
10.1080/00207160701210109
Int. J. Comput. Math.
Keywords
DocType
Volume
eulerian counterpart,higher order time integration,convection-dominated problem,solution scheme,long time computation,eulerian-lagrangian time-stepping method,implicit-explicit time,eulerian-lagrangian procedure,time direction,time step,benchmark problem,eulerian-lagrangian computation,higher order,runge kutta
Journal
85
Issue
ISSN
Citations 
3-4
0020-7160
3
PageRank 
References 
Authors
0.56
3
2
Name
Order
Citations
PageRank
Mofdi El-Amrani162.70
Mohammed Seaïd25416.35