DRUtES

An adaptive time discretization of the classical and the dual porosity model of Richards’ equation This paper presents a numerical solution to the equations describing Darcian flow in a variably saturated porous medium-a classical Richards’ equation model and an extension of it that approximates the flow in media with preferential paths-a dual porosity model Gerke and van Genuchten. A numerical solver to this problem, the DRUtES computer program, was developed and released during our investigation. A new technique which maintains an adaptive time step, defined here as the Retention Curve Zone Approach, was constructed and tested. The aim was to limit the error of a linear approximation to the time derivative part. Finally, parameter identification was performed in order to compare the behavior of the dual porosity model with data obtained from a non-homogenized fracture and matrix flow simulation experiment.

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 9 articles , 1 standard article )

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  1. Albuja, Guillermo; Ávila, Andrés I.: A family of new globally convergent linearization schemes for solving Richards’ equation (2021)
  2. Wang, Yazhou; Xue, Tao; Tamma, Kumar K.; Maxam, Dean; Qin, Guoliang: An accurate and simple universal a posteriori error estimator for GS4-1 framework: adaptive time stepping in first-order transient systems (2021)
  3. Dolejší, Vít; Kuraz, Michal; Solin, Pavel: Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows (2019)
  4. Kuraz, Michal; Mayer, Petr; Pech, Pavel: Solving the nonlinear and nonstationary Richards equation with two-level adaptive domain decomposition ((dd)-adaptivity) (2015)
  5. Kuraz, Michal; Mayer, Petr; Pech, Pavel: Solving the nonlinear Richards equation model with adaptive domain decomposition (2014)
  6. Kučerová, Anna; Sýkora, Jan: Uncertainty updating in the description of coupled heat and moisture transport in heterogeneous materials (2013)
  7. Kuráž, Michal; Mayer, Petr; Havlíček, Vojtěch; Pech, Pavel; Pavlásek, Jirka: Dual permeability variably saturated flow and contaminant transport modeling of a nuclear waste repository with capillary barrier protection (2013)
  8. Kordulová, Petra; Beneš, Michal: Solutions to the seepage face model for dual porosity flows with hysteresis (2012)
  9. Kuráž, Michal; Mayer, Petr; Lepš, Matěj; Trpkošová, Dagmar: An adaptive time discretization of the classical and the dual porosity model of Richards’ equation (2010)