Fully Coupled Surface-Subsurface Flow and Transport Model in GeRa Software

In this article, we present a mathematical model for simulating coupled surface-subsurface water flow and solute transport implemented in the GeRa software. The model employs the Richards equation for groundwater flow, the diffusion wave approximation for surface runoff, incorporating Manning’s formula for flow velocity estimation and advection-diffusion equation for both surface and subsurface solute transport. Surface-subsurface coupling is implemented using the first-order exchange approach. Implemented using the INMOST software platform, the model facilitates parallel mathematical modeling, and we assess its parallel efficiency against Borden catchment benchmark. The results demonstrate good agreement with the experimental data as well as good parallel scalability of the model.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1134/s1995080224608488
Primary Topic
Distributed and Parallel Computing Systems
Type
article
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article

Fully Coupled Surface-Subsurface Flow and Transport Model in GeRa Software

Ivan Kapyrin, Konstantin Novikov
Lobachevskii Journal of Mathematics
Distributed and Parallel Computing Systems
article

Fully Coupled Surface-Subsurface Flow and Transport Model in GeRa Software

Ivan Kapyrin, Konstantin Novikov
article en

Abstract

In this article, we present a mathematical model for simulating coupled surface-subsurface water flow and solute transport implemented in the GeRa software. The model employs the Richards equation for groundwater flow, the diffusion wave approximation for surface runoff, incorporating Manning’s formula for flow velocity estimation and advection-diffusion equation for both surface and subsurface solute transport. Surface-subsurface coupling is implemented using the first-order exchange approach. Implemented using the INMOST software platform, the model facilitates parallel mathematical modeling, and we assess its parallel efficiency against Borden catchment benchmark. The results demonstrate good agreement with the experimental data as well as good parallel scalability of the model.

Lobachevskii Journal of MathematicsVol. 46(1)
Russian Academy of Sciences (RU), Institute of Numerical Mathematics (RU), Nuclear Safety Institute (RU)
Openalex Percentile: Top 88%
Distributed and Parallel Computing Systems
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