An overview of research on Eulerian–Lagrangian localized adjoint methods (ELLAM)

TF Russell, MA Celia - Advances in Water resources, 2002 - Elsevier
For problems of convection–diffusion type, Eulerian–Lagrangian localized adjoint methods
provide a methodology that maintains the accuracy and efficiency of Eulerian–Lagrangian …

[图书][B] Robust numerical methods for singularly perturbed differential equations

HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

[PDF][PDF] MT3DMS: a modular three-dimensional multispecies transport model for simulation of advection, dispersion, and chemical reactions of contaminants in …

C Zheng, PP Wang - 1999 - inside.mines.edu
The work reported herein was conducted under the Cleanup Pillar of the Strategic
Environmental Research and Development Program (SERDP) as part of Work Unit CU …

Physically based modeling in catchment hydrology at 50: Survey and outlook

C Paniconi, M Putti - Water Resources Research, 2015 - Wiley Online Library
Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by
novel theories in mathematical physics, advances in computational methods, insights from …

[HTML][HTML] A summary of numerical methods for time-dependent advection-dominated partial differential equations

RE Ewing, H Wang - Journal of Computational and Applied Mathematics, 2001 - Elsevier
We give a brief summary of numerical methods for time-dependent advection-dominated
partial differential equations (PDEs), including first-order hyperbolic PDEs and nonstationary …

On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs

J Douglas Jr, F Furtado, F Pereira - Computational Geosciences, 1997 - Springer
We present a new, naturally parallelizable, accurate numerical method for the solution of
transport-dominated diffusion processes in heterogeneous porous media. For the …

Modelling the fate of oxidisable organic contaminants in groundwater

DA Barry, H Prommer, CT Miller, P Engesgaard… - Advances in Water …, 2002 - Elsevier
Subsurface contamination by organic chemicals is a pervasive environmental problem,
susceptible to remediation by natural or enhanced attenuation approaches or more highly …

An ELLAM scheme for advection-diffusion equations in two dimensions

H Wang, HK Dahle, RE Ewing, MS Espedal… - SIAM Journal on …, 1999 - SIAM
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM) to solve two-
dimensional advection-diffusion equations with all combinations of inflow and outflow …

An approximation to miscible fluid flows in porous media with point sources and sinks by an Eulerian--Lagrangian localized adjoint method and mixed finite element …

H Wang, D Liang, RE Ewing, SL Lyons, G Qin - SIAM Journal on Scientific …, 2000 - SIAM
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM)-mixed finite
element method (MFEM) solution technique for accurate numerical simulation of coupled …

The modified method of characteristics with adjusted advection

J Douglas, Jr, CS Huang, F Pereira - Numerische Mathematik, 1999 - Springer
The MMOC procedure for approximating the solutions of transport-dominated diffusion
problems does not automatically preserve integral conservation laws, leading to (mass) …