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  1. Article ; Online: A Richards’ equation-based model for wave-resolving simulation of variably-saturated beach groundwater flow dynamics

    Clément, Jean-Baptiste / Sous, Damien / Bouchette, Frédéric / Golay, Frédéric / Ersoy, Mehmet

    Journal of Hydrology. 2023 Apr., v. 619 p.129344-

    2023  

    Abstract: This study introduces a model based on Richards’ equation to describe variably-saturated beach groundwater flow. The surface wave propagation is computed by the phase-resolving non-hydrostatic SWASH code. The SWASH data are used to make a suitable ... ...

    Abstract This study introduces a model based on Richards’ equation to describe variably-saturated beach groundwater flow. The surface wave propagation is computed by the phase-resolving non-hydrostatic SWASH code. The SWASH data are used to make a suitable dynamic boundary condition at the beach face to force Richards’ equation. The latter is solved by a weighted discontinuous Galerkin method together with adaptive mesh refinement. The model is validated by comparison with a laboratory experiment of a transient water table recharge problem. Then, the BARDEX II prototype-scale experiment is considered to assess the model abilities for beach groundwater dynamics. The barrier beach is studied for three cases with different lagoon levels. Steady-state results with no-wave conditions show excellent agreement. Transient waves simulations are evaluated in terms of pressure heads, saturations, water table position and groundwater velocities for time-averaged, swash-resolving and spectral analysis. Results bring interesting insights about beach groundwater modelling by comparison with the experimental data as well as a Darcy’s equation-based model. A first investigation is carried out to assess the groundwater effect on the bed sediment dynamics through the modification of sediment relative weight.
    Keywords beaches ; equations ; groundwater ; groundwater flow ; hydrodynamics ; laboratory experimentation ; models ; sediments ; spectral analysis ; water table ; Swash zone ; Barrier beach ; Numerical modelling ; Unsaturated porous media ; Seepage ; Adaptive discontinuous Galerkin method
    Language English
    Dates of publication 2023-04
    Publishing place Elsevier B.V.
    Document type Article ; Online
    Note Pre-press version
    ZDB-ID 1473173-3
    ISSN 1879-2707 ; 0022-1694
    ISSN (online) 1879-2707
    ISSN 0022-1694
    DOI 10.1016/j.jhydrol.2023.129344
    Database NAL-Catalogue (AGRICOLA)

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  2. Article: An adaptive strategy for discontinuous Galerkin simulations of Richards’ equation: Application to multi-materials dam wetting

    Clément, Jean-Baptiste / Golay, Frédéric / Ersoy, Mehmet / Sous, Damien

    Advances in water resources. 2021 May, v. 151

    2021  

    Abstract: Numerical solution of Richards’ equation remains challenging to get robust, accurate and cost-effective results, particularly for moving sharp wetting fronts. An adaptive strategy for both space and time is proposed to deal with 2D sharp wetting fronts ... ...

    Abstract Numerical solution of Richards’ equation remains challenging to get robust, accurate and cost-effective results, particularly for moving sharp wetting fronts. An adaptive strategy for both space and time is proposed to deal with 2D sharp wetting fronts associated with varying and possibly vanishing diffusivity caused by nonlinearity, heterogeneity and anisotropy. Adaptive time stepping makes nonlinear convergence reliable and backward difference formula provides high-order time scheme. Adaptive mesh refinement tracks wetting fronts with an a posteriori error indicator. The novelty of this paper consists in using this technique in combination with a weighted discontinuous Galerkin framework to better approximate steep wetting fronts by a discontinuity. The potential of the overall approach is shown through various examples including analytical and laboratory benchmarks and simulation of full-scale multi-materials dam wetting experiment.
    Keywords anisotropy ; cost effectiveness ; diffusivity ; space and time ; water
    Language English
    Dates of publication 2021-05
    Publishing place Elsevier Ltd
    Document type Article
    Note NAL-AP-2-clean
    ZDB-ID 2023320-6
    ISSN 1872-9657 ; 0309-1708
    ISSN (online) 1872-9657
    ISSN 0309-1708
    DOI 10.1016/j.advwatres.2021.103897
    Database NAL-Catalogue (AGRICOLA)

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