Abstract
We develop an Eulerian-Lagrangian substructuring domain decomposition method for the solution of unsteady-state advection-diffusion transport equations. This method reduces to an Eulerian-Lagrangian scheme within each subdomain and to a type of Dirichlet-Neumann algorithm at subdomain interfaces. The method generates accurate and stable solutions that are free of artifacts even if large time-steps are used in the simulation. Numerical experiments are presented to show the strong potential of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 565-583 |
| Number of pages | 19 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 17 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Nov 2001 |
Keywords
- Advection-diffusion equations
- Characteristic methods
- Domain decomposition methods
- Eulerian-Lagrangian methods
- Neumann-Dirichlet algorithm
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics