Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation

Advances in Water Resources

Volumn 24, Issue 6, 2001, Pages 595-605

  Kavetski, D ^a   Binning, P ^a   Sloan, S W ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Adaptive time stepping; Conservation of mass; Richards equation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; MOISTURE;

MASS CONSERVATION; RICHARDS EQUATION;

WATER RESOURCES;

ERROR ANALYSIS; MOISTURE FLUX; POROUS MEDIUM; RICHARDS EQUATION;

EID: 0035366337     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(00)00076-2     Document Type: Article

References (22)

1. Mixed finite elements and Newton-type linearizations for the solution of Richard's equation
2. Practical implementation of the fractional flow approach to multi-phase flow simulation
3. A general mass-conservative numerical solution for the unsaturated flow equation
4. Comparative error analysis infinite element formulations of the advection-dispersion equation
5. Mass types, element orders and solution schemes for the Richards equation
6. Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow
7. Comparison of iterative methods for improved solutions of the fluid flow equation in partially saturated porous media
8. Robust solution of Richards' equation for nonuniform porous media
9. A perspective on the numerical solution of convection dominated transport problems: A price to pay for the easy way out
10. Numerical evaluation of iterative and noniterative methods for the solution of the nonlinear Richard's equation
11. Mass conservative numerical solutions of the head-based Richards equation
12. Biot consolidation analysis with automatictime stepping and error control. Part I: Theory and implementation
13. Variable-order variable-step algorithms for second-order systems. Part I: The methods
14. Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines
15. An evaluation of temporally adaptive transformation approaches for solving Richards' equation