A mass-conservative predictor-corrector solution to the 1D Richards equation with adaptive time control

Zhi, Li; Özgen‐Xian, Ilhan; Maina, Fadji Zaouna

doi:10.1016/j.jhydrol.2020.125809

Cited by 13 publications

(10 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The transport framework will also include a Lagrangian particle-tracking module (currently also under development). At the time of the writing of this paper, the subsurface flow solver -based on the threedimensional extension of the Richards solver by Li et al (2021) -is experimentally operative and is underway to being coupled to the surface flow solver, thus making the hydrodynamic core of SERGHEI applicable to integrated surfacesubsurface hydrology. The initial infrastructure for the three other transport-based frameworks is currently under development.…”

Section: The Serghei Frameworkmentioning

confidence: 99%

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

et al. 2023

Self Cite

View full text Add to dashboard Cite

Abstract. The Simulation EnviRonment for Geomorphology, Hydrodynamics, and Ecohydrology in Integrated form (SERGHEI) is a multi-dimensional, multi-domain, and multi-physics model framework for environmental and landscape simulation, designed with an outlook towards Earth system modelling. At the core of SERGHEI's innovation is its performance-portable high-performance parallel-computing (HPC) implementation, built from scratch on the Kokkos portability layer, allowing SERGHEI to be deployed, in a performance-portable fashion, in graphics processing unit (GPU)-based heterogeneous systems. In this work, we explore combinations of MPI and Kokkos using OpenMP and CUDA backends. In this contribution, we introduce the SERGHEI model framework and present with detail its first operational module for solving shallow-water equations (SERGHEI-SWE) and its HPC implementation. This module is designed to be applicable to hydrological and environmental problems including flooding and runoff generation, with an outlook towards Earth system modelling. Its applicability is demonstrated by testing several well-known benchmarks and large-scale problems, for which SERGHEI-SWE achieves excellent results for the different types of shallow-water problems. Finally, SERGHEI-SWE scalability and performance portability is demonstrated and evaluated on several TOP500 HPC systems, with very good scaling in the range of over 20 000 CPUs and up to 256 state-of-the art GPUs.

show abstract

Section: The Serghei Frameworkmentioning

confidence: 99%

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…CrunchFlow (or CrunchTope) is a general purpose multicomponent reactive transport simulator that handles advective, diffusive, and dispersive transport, and an arbitrary number of mixed equilibrium and kinetic reactions. The capability to simulate partially saturated flow based on a predictor-corrector treatment of the Richards equation (Li et al, 2021) has been added recently to the code.…”

Section: Approachmentioning

confidence: 99%

Reactive Transport in Discrete Fracture Networks

Steefel¹

2022

Geological Society of America Abstracts With Programs

View full text Add to dashboard Cite

“…The Richards' equation [2] describes the flow phenomenon in unsaturated porous media under the action of gravity and capillary forces. It has been widely used in numerical models of unsaturated flows and is essential to hydrology and environmental science [3,4].…”

Section: Introductionmentioning

confidence: 99%

Stable expression and control parameters in the numerical simulation of unsaturated flow

Zhi-yuan

et al. 2022

Front. Struct. Civ. Eng.

View full text Add to dashboard Cite

The Richards’ equation describes the flow phenomenon in unsaturated porous media and is essential to hydrology and environmental science. This study evaluated the numerical stability of two different forms of the Richards’ equation. Sensitivity analyses were performed to investigate the control parameters of the equation. The results show that the h-form Richards’ equation has better applicability for calculating variable saturation flows than the θ-form Richards’ equation. For the h-form Richards’ equation, the hydraulic conductivity of the soil in the low-suction range and the specific moisture capacity in the high-suction range primarily influenced the solution. In addition, sensitivity analyses indicated that the saturated hydraulic conductivity, initial condition, and air-entry pressure have a higher sensitivity to the simulation results than the saturated water content, rainfall intensity, and decline rate of hydraulic conductivity. Moreover, their correctness needs to be guaranteed first in numerical simulations. The research findings can provide a helpful reference for improving the reliability of numerical simulations of unsaturated flows.

show abstract

A mass-conservative predictor-corrector solution to the 1D Richards equation with adaptive time control

Cited by 13 publications

References 34 publications

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

Reactive Transport in Discrete Fracture Networks

Stable expression and control parameters in the numerical simulation of unsaturated flow

Contact Info

Product

Resources

About