Name
Abstract | ||
|---|---|---|
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM) to solve two-dimensional advection-diffusion equations with all combinations of inflow and outflow Dirichlet, Neumann, and flux boundary conditions. The ELLAM formalism provides a systematic framework for implementation of general boundary conditions, leading to mass-conservative numerical schemes. The computational advantages of the ELLAM approximation have been demonstrated for a number of one-dimensional transport systems; practical implementations of ELLAM schemes in multiple spatial dimensions that require careful algorithm development are discussed in detail in this paper. Extensive numerical results are presented to compare the ELLAM scheme with many widely used numerical methods and to demonstrate the strength of the ELLAM scheme. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1137/S1064827596309396 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
characteristic methods,comparison of numerical methods,Eulerian-Lagrangian methods,numerical solution of advection-diffusion equations | Boundary value problem,Convection–diffusion equation,Dirichlet problem,Courant–Friedrichs–Lewy condition,Mathematical analysis,Initial value problem,Neumann boundary condition,Numerical analysis,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 6 | 1064-8275 |
Citations | PageRank | References |
19 | 4.78 | 0 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hong Wang | 1 | 373 | 44.74 |
| Helge K. Dahle. | 2 | 19 | 4.78 |
| Richard E. Ewing | 3 | 252 | 45.87 |
| Magne S. Espedal | 4 | 28 | 6.67 |
| R. C. Sharpley | 5 | 29 | 6.35 |
| Shushuang Man | 6 | 61 | 10.13 |