First-order continuation method for steady-state variably saturated groundwater flow modeling
DOI10.1134/S199508022207006XzbMath1501.65092arXiv2201.05202OpenAlexW4290000593MaRDI QIDQ2674999
Publication date: 20 September 2022
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05202
groundwater flowfinite volumecontinuationRichards equationpredictor-correctormimetic finite differencevadose zoneunsaturated conditions
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08)
Uses Software
Cites Work
- Unnamed Item
- Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
- Mimetic finite difference method
- A family of monotone methods for the numerical solution of three-dimensional diffusion problems on unstructured tetrahedral meshes
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
- Modeling groundwater flow in unconfined conditions: numerical model and solvers' efficiency
- Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions
- A fully implicit mimetic finite difference scheme for general purpose subsurface reservoir simulation with full tensor permeability
- Comparison of nonlinear solvers within continuation method for steady-state variably saturated groundwater flow modelling
- The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient
- Modeling groundwater flow and contaminant transport
- Second-order accurate monotone finite volume scheme for Richards' equation
- Minimization of functions having Lipschitz continuous first partial derivatives
- Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
- The mimetic finite difference method for elliptic problems
- The G method for heterogeneous anisotropic diffusion on general meshes
- A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- Introduction to Numerical Continuation Methods
- Crout Versions of ILU for General Sparse Matrices
- CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
- The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices
- Parallel Finite Volume Computation on General Meshes