New polyhedral discretisation methods applied to the Richards equation: CDO schemes in \textit{Code\_Saturne}
DOI10.1016/j.compfluid.2018.03.026zbMath1410.76002OpenAlexW2789884491MaRDI QIDQ1615471
Jérôme Bonelle, Yvan Fournier, Charles Moulinec
Publication date: 31 October 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2018.03.026
high performance computingRichards equationcompatible discrete operatorhybrid MPI-OpenMPunderground water flows
Flows in porous media; filtration; seepage (76S05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Software, source code, etc. for problems pertaining to fluid mechanics (76-04) Numerical algorithms for specific classes of architectures (65Y10)
Uses Software
Cites Work
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- Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- Optimizing Code\_Saturne computations on Petascale systems
- Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes
- Theory and practice of finite elements.
- A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization
- Constitutive equations for discrete electromagnetic problems over polyhedral grids
- A new set of basis functions for the discrete geometric approach
- Small-stencil 3D schemes for diffusive flows in porous media
- GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS
- Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
- 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes
- Mimetic finite differences for elliptic problems
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
- An extension of the Crouzeix–Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow
- A Set of Principles to Interconnect the Solutions of Physical Systems
