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

Advances in Water Resources

Volumn 25, Issue 8-12, 2002, Pages 1215-1231

  Russell, Thomas F ^a   Celia, Michael A ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; GROUNDWATER; HYDROLOGY; MULTIPHASE FLOW;

REACTIVE FLOWS;

WATER RESOURCES;

EULERIAN ANALYSIS; GROUNDWATER FLOW; LAGRANGIAN ANALYSIS; NUMERICAL METHOD; SOLUTE TRANSPORT;

STAPHYLOCOCCUS PHAGE 187;

EID: 0036704518     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(02)00104-5     Document Type: Article

References (67)

1. Second-order characteristic methods for advection-diffusion equations and comparison to other schemes
2. A finite-volume Runge-Kutta ELLAM method for the solution of advection diffusion equations
3. A nonoverlapping characteristic domain decomposition method for unsteady state advection-diffusion equations
4. Quelques difficultés des modèles numériques en hydraulique
5. A finite volume Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equations in two-dimensional multiphase flow systems
6. A forward particle tracking Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equation in three dimensions
7. Simulation of contaminant transport in three dimensions, 2. Dimensionality effects
8. Eulerian-Lagrangian localized adjoint methods for contaminant transport simulations
9. Contaminant transport and biodegradation, 1. A numerical model for reactive transport in porous media
10. An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
11. An Eulerian-Lagrangian localized adjoint method for reactive transport in groundwater, computational methods in subsurface hydrology
12. Eulerian-Lagrangian solution of the convection-diffusion equation in natural coordinates
13. Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation
14. Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics
15. A characteristic-Galerkin approximation to a system of shallow water equations
16. Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
17. Characteristic Petrov-Galerkin subdomain methods for two-phase immiscible flow
18. An Eulerian-Lagrangian localized adjoint method with exponential-along-characteristic test functions for variable-coefficient advective-diffusive-reactive equations
19. Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis
20. An optimal-order estimate for Eulerian-Lagrangian localized adjoint methods for variable-coefficient advection-reaction problems
21. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts: 2. Analysis of spatial moments for a non-reactive tracer
22. A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
23. Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method
24. Treatment of internal sources in the finite-volume ELLAM
25. Three-dimensional finite-volume ELLAM implementation
26. A three-dimensional finite-volume Eulerian-Lagrangian localized adjoint method (ELLAM) for solute-transport modeling
27. Localized adjoint methods: A new discretization methodology
28. Eulerian-Lagrangian localized adjoint methods: The theoretical framework
29. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts: 3. Hydraulic conductivity variability and calculated macrodispersivities
30. Contaminant transport and biodegradation, 2. Conceptual model and test simulations
31. A three-dimensional method-of-characteristics solute-transport model (MOC3D)
32. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts: 1. Experimental design and observed tracer movement
33. Implicit characteristic Galerkin method for convection-diffusion equations
34. Contaminant transport with nonequilibrium processes in unsaturated soils and implicit characteristic Galerkin scheme
35. A semianalytical method of path line computation for transient finite-difference groundwater flow models
36. A modular three-dimensional finite-difference ground-water flow model
37. Stability of the Lagrange-Galerkin method with non-exact integration
38. On the transport-diffusion algorithm and its application to the Navier-Stokes equations
39. Semianalytical computation of path lines for finite-difference models
40. Numerical simulation of compositional fluid flow in porous media, numerical treatment of multiphase flows in porous media
41. A mixed finite element method for 2nd order elliptic problems, mathematical aspects of finite element methods
42. A flux-based modified method of characteristics
43. Infiltration and solute transport experiments in unsaturated sand and gravel, Cape Cod, Massach usetts: Experimental design and overview of results
44. Eulerian-Lagrangian localized adjoint methods for advection-dominated problems, numerical analysis 1989
45. Analytical tracking along streamlines in temporally linear Raviart-Thomas velocity fields
46. Solving the three-dimensional solute-transport equation using a finite-volume Eulerian-Lagrangian localized adjoint method (FVELLAM)
47. Eulerian-Lagrangian localized adjoint methods with variable coefficients in multiple dimensions, computational methods in surface hydrology
48. Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advection-diffusion-reaction equations
49. A family of ELLAM schemes for advection-diffusion-reaction equations and their convergence analyses
50. An optimal-order error estimate for an ELLAM scheme for two-dimensional linear advection-diffusion equations
51. An Eulerian-Lagrangian substructuring domain decomposition method for unsteady-state advection-diffusion equations
52. A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces
53. Runge-Kutta characteristic methods for first-order linear hyperbolic equations
54. An ELLAM scheme for advection-diffusion in two dimensions
55. ELLAM-based domain decomposition and local refinement methods for advection-diffusion equations with interfaces
56. A characteristic domain decomposition algorithm for two-phase flows with interfaces
57. Optimal-order convergence rates for Eulerian-Lagrangian localized adjoint methods for reactive transport and contamination in groundwater
58. Eulerian-Lagrangian localized adjoint methods for reactive transport with biodegradation
59. A family of Eulerian-Lagrangian localized adjoint methods for multi-dimensional advection-reaction equations
60. Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis
61. 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 methods
62. An ELLAM-MFEM solution technique for compressible fluid flows in porous media with point sources and sinks
63. Solving advection-diffusion equations with interfaces by an Eulerian-Lagrangian localized adjoint method
64. Development of CFL-free, explicit schemes for multidimensional advection-reaction equations
65. An ELLAM scheme for advection-diffusion equations in multi-dimensions
66. An ELLAM scheme for multidimensional advection-reaction equations and its optimal-order error estimate