Main Title |
Eulerian-Lagrangian Localized Adjoint Method for the Advection-Diffusion Equation. |
Author |
Celia, M. A. ;
Russell, T. F. ;
Herera, I. ;
Ewing, R. E. ;
|
CORP Author |
Princeton Univ., NJ. Dept. of Civil Engineering and Operations Research. ;Colorado Univ. at Denver. Dept. of Mathematics. ;Universidad Nacional Autonoma de Mexico, Mexico City. Inst. de Geofisica.;Robert S. Kerr Environmental Research Lab., Ada, OK.;National Science Foundation, Washington, DC. |
Publisher |
c1990 |
Year Published |
1990 |
Report Number |
NSF-8657419-CES; |
Stock Number |
PB91-177253 |
Additional Subjects |
Transport theory ;
Diffusion theory ;
Numerical solution ;
Approximation ;
Advection ;
Reprints ;
Localized adjoint methods
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
NTIS |
PB91-177253 |
Some EPA libraries have a fiche copy filed under the call number shown. |
|
07/26/2022 |
|
Collation |
22p |
Abstract |
The paper presents a space-time localized adjoint method (LAM) approximation for the advection-diffusion transport equation. The formulation is based on a space-time discretization in which specialized test functions are defined. These functions locally satisfy the homogeneous adjoint equation within each element. The formulation leads to a general approximation that subsumes many specific methods based on combined Lagrangian and Eulerian approaches, so-called characteristic methods (CM's). The authors refer to the method as an Eulerian-Lagrangian localized adjoint method (ELLAM). The ELLAM approach not only provides a unification of CM methods, but also provides a systematic framework for incorporation of boundary conditions in CM approximations. Example calculations were presented to demonstrate that the ELLAM procedure can handle all types of boundary conditions. |