Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow
By Dmitri Kavetski, P. Binning, Scott W. Sloan. 2002
102 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Mechanics, Environmental Engineering
View Paper: https://www.semanticscholar.org/paper/98e23eafdcb8cbe36aadd4041d369a9081e035e1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Matthew W. Farthing
- Fred L. Ogden
- Scott W. Sloan
- Dmitri Kavetski
- P. Binning
- Andrei Lyamin
- Kristian Krabbenhøft
- D. Sheng
In Computational Mechanics
- Fred L. Ogden
- Matthew W. Farthing
- Scott W. Sloan
- Dmitri Kavetski
- P. Binning
- D. Domiri Ganji
- Mohsen Sheikholeslami
- Mohammad Mehdi Rashidi
In Environmental Engineering
Citations in the corpus
- New class of solutions for water infiltration problems in unsaturated soils (2010, background): “…due to the dependence of hydraulic conductivity and diffusivity -- two important parameters in the equation -- on moisture content, combined with the non-trivial forcing conditions that are often encountered in engineering practice (Ju and Kung 1997, Arampatzis et al. 2001, Kavetski et al. 2002).”
- Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation (2002, methodology): “Its accuracy and efficiency can be enhanced by the following adaptive error control scheme [Sloan and Abbo, 1999; Kavetski et al., 2001, 2002]: 1.”
- Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, methodology): “The methods introduced in (Kavetski et al., 2001a, 2001b) and (Tocci et al., 1997) adapt the time step size and/or order based on estimates of temporal error.”