A one-dimensional local discontinuous Galerkin Richards' equation solution with dual-time stepping

DOI10.1007/s10596-021-10098-3zbMath1484.65190OpenAlexW4200169259MaRDI QIDQ2130954

Colton J. Conroy, Yilong Xiao, Ethan J. Kubatko

Publication date: 25 April 2022

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-021-10098-3

zbMATH Keywords

hydrostatic pressuredual-time steppingRichards' equationlocal discontinuous Galerkin

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to geophysics (86-08)

Cites Work

• Fully discrete IPDG-HMM for multiscale Richards equation of unsaturated flow in porous media
• Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows
• A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws
• Bound-Preserving High-Order Schemes
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• Finite Volume Methods for Hyperbolic Problems
• Integration of Navier-Stokes equations using dual time stepping and a multigrid method

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