A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
M Vohralík, S Yousef - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
This paper develops an a posteriori error estimate for lowest-order locally conservative
methods on meshes consisting of general polytopal elements. We focus on the ease of …
methods on meshes consisting of general polytopal elements. We focus on the ease of …
[HTML][HTML] Direct simulation of non-additive properties on unstructured grids
P Mourlanette, P Biver, P Renard, B Noetinger… - Advances in Water …, 2020 - Elsevier
Uncertainties related to permeability heterogeneity can be estimated using geostatistical
simulation methods. Usually, these methods are applied on regular grids with cells of …
simulation methods. Usually, these methods are applied on regular grids with cells of …
Adaptive timestepping, linearization, and a posteriori error control for multiphase flow of immiscible fluids in porous media with wells
This work focuses on the development of adaptive timesteps, stopping criteria, and error
control strategies for reservoir simulations with fully implicit (FIM) solvers. Using a rigorous …
control strategies for reservoir simulations with fully implicit (FIM) solvers. Using a rigorous …
[HTML][HTML] A posteriori-based, local multilevel mesh refinement for the Darcy porous media flow problem
S Yousef - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In this work we develop an a posteriori-based adaptive local multilevel mesh refinement
strategy for the Darcy porous media flow problem discretized with the finite volume method …
strategy for the Darcy porous media flow problem discretized with the finite volume method …
A dynamic coarsening approach to immiscible multiphase flows in heterogeneous porous media
N Dashtbesh, G Enchéry, B Noetinger - Journal of Petroleum Science and …, 2021 - Elsevier
We have developed a sequential approach to accelerate immiscible multiphase flow
modelling in heterogeneous porous media using discontinuous Galerkin methods and …
modelling in heterogeneous porous media using discontinuous Galerkin methods and …
[HTML][HTML] IFP Energies Nouvelles Conference: SimRace 2015: Numerical Methods and High Performance Computing for Industrial Fluid Flows
S de Chaisemartin, G Allaire - Oil & Gas Science …, 2017 - ogst.ifpenergiesnouvelles.fr
Numerical simulation faces several challenges today. The different topics it relies on
(scientific modelling, applied mathematics, High Performance Computing (HPC) and …
(scientific modelling, applied mathematics, High Performance Computing (HPC) and …