Jean-Baptiste Clément

Jean-Baptiste Clément
Czech Technical University in Prague | ČVUT · Department of Technical Mathematics (FS)

Doctor of Philosophy

About

8
Publications
573
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
10
Citations
Citations since 2017
8 Research Items
10 Citations
2017201820192020202120222023012345
2017201820192020202120222023012345
2017201820192020202120222023012345
2017201820192020202120222023012345
Introduction
I work on modelling and simulating fluid dynamics in unsaturated porous media. I focus on Richards' equation and numerical methods such as discontinuous Galerkin methods, adaptive mesh refinement and BDF. Applications are for groundwater in sandy beaches. Theses developments led to a code called Rivage.
Additional affiliations
February 2021 - present
Université de Montpellier
Position
  • PostDoc Position
November 2017 - January 2021
Université de Toulon
Position
  • PhD Student

Publications

Publications (8)
Conference Paper
Full-text available
A numerical model is proposed to analyse the effect of waves in near-shore waters on the beach groundwater flow. The groundwater flow is modelled by Richards' equation which describes flows in variably-saturated porous media. A wave-driven boundary conditions is prescribed at the beach face. The model abilities are assessed against the results of a...
Article
Full-text available
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...
Poster
Full-text available
Richards' equation, seepage, weighted DG method, Adaptive Mesh Refinement, a posteriori error estimation, BDF, swash groundwater.
Thesis
Available at https://hal.archives-ouvertes.fr/tel-03121283. Flows in unsaturated porous media are modelled by the Richards' equation which is a degenerate parabolic nonlinear equation. Its limitations and the challenges raised by its numerical solution are laid out. Getting robust, accurate and cost-effective results is difficult in particular bec...
Article
Full-text available
Clément, J.-B.; Sous, D.; Golay, F. and Ersoy M., 2020. Wave-driven groundwater flows in sandy beaches: A Richards equation-based model. In: Malvárez, G. and Navas, F. (eds.), Global Coastal Issues of 2020. Journal of Coastal Research, Special Issue No. 95, pp. 1047–1051. Coconut Creek (Florida), ISSN0749-0208. A groundwater model is developed to s...

Network

Cited By

Projects

Project (1)
Project
Flows in unsaturated porous media are modelled by the Richards’ equation which is a degenerate parabolic nonlinear equation. Its limitations and the challenges raised by its numerical solution are laid out. Getting robust, accurate and cost-effective results is difficult in particular because of moving sharp wetting fronts due to the nonlinear hydraulic properties. Richards’ equation is discretized by a discontinuous Galerkin method in space and backward differentiation formulas in time. The resulting numerical scheme is conservative, high-order and very flexible. Thereby, complex boundary conditions are included easily such as seepage condition or dynamic forcing. Moreover, an adaptive strategy is proposed. Adaptive time stepping makes nonlinear convergence robust and a block-based adaptive mesh refinement is used to reach required accuracy cost-effectively. A suitable a posteriori error indicator helps the mesh to capture sharp wetting fronts which are also better approximated by a discontinuity introduced in the solution thanks to a weighted discontinuous Galerkin method. The approach is checked through various test-cases and a 2D benchmark. Numerical simulations are compared with laboratory experiments of water table recharge/drainage and a largescale experiment of wetting, following reservoir impoundment of the multi-materials La Verne dam. This demanding case shows the potentiality of the strategy developed in this thesis. Finally, applications are handled to simulate groundwater flows under the swash zone of sandy beaches in comparison with experimental observations.