DRUtES swMATH ID: 6595 Software Authors: Kuráž, Michal; Mayer, Petr; Lepš, Matěj; Trpkošová, Dagmar Description: 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. Homepage: http://drutes.org/public/?core=account Source Code: https://github.com/michalkuraz/drutes-dev Keywords: Darcy’s law; variable saturation; retention curve; mass balance; adaptive time discretization; preferential flow; homogenization; parameter identification; multi-objective evolutionary algorithm Related Software: ROS3P; Adgfem; Anderson; BL2D-V2; HYDRUS Cited in: 9 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year An adaptive time discretization of the classical and the dual porosity model of Richards’ equation. Zbl 1252.76082Kuráž, Michal; Mayer, Petr; Lepš, Matěj; Trpkošová, Dagmar 2010 all top 5 Cited by 19 Authors 5 Kuráž, Michal 4 Mayer, Petr 3 Pech, Pavel 1 Albuja, Guillermo 1 Ávila, Andrés I. 1 Beneš, Michal 1 Dolejší, Vít 1 Havlíček, Vojtěch 1 Kordulová, Petra 1 Lepš, Matěj 1 Maxam, Dean 1 Pavlásek, Jirka 1 Qin, Guoliang 1 Šolín, Pavel 1 Sýkora, Jan 1 Tamma, Kumar K. 1 Trpkošová, Dagmar 1 Wang, Yazhou 1 Xue, Tao all top 5 Cited in 6 Serials 3 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling all top 5 Cited in 6 Fields 8 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year