Uniquely solvable and energy stable decoupled numerical schemes for the Cahn–Hilliard–Stokes–Darcy system for two-phase flows in karstic geometry
Sign Up to like & getrecommendations! Published in 2017 at "Numerische Mathematik"
DOI: 10.1007/s00211-017-0870-1
Abstract: We propose and analyze two novel decoupled numerical schemes for solving the Cahn–Hilliard–Stokes–Darcy (CHSD) model for two-phase flows in karstic geometry. In the first numerical scheme, we explore a fractional step method (operator splitting) to… read more here.
Keywords: system; decoupled numerical; numerical schemes; geometry ... See more keywords
A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0691-0
Abstract: We consider the coupling of free and porous media flow governed by Stokes and Darcy equations with the Beavers–Joseph–Saffman interface condition. This model is discretized using a divergence-conforming finite element for the velocities in the… read more here.
Keywords: mixed fem; hybrid mixed; strongly conservative; fem coupling ... See more keywords
A second-order artificial compression method for the evolutionary Stokes-Darcy system
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00791-x
Abstract: In this paper, we present a second-order decoupled scheme based on the artificial compression method for the time-dependent Stokes-Darcy equations. This method not only uncouples the velocity and hydraulic head by implicit-explicit method but also… read more here.
Keywords: artificial compression; second order; method; stokes darcy ... See more keywords
Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.10.021
Abstract: Abstract This paper presents the rotational form of the pressure-correction method with the modular grad-div stabilization for the non-stationary Stokes/Darcy model. The presented methods can improve not only the efficiency of calculation but also the… read more here.
Keywords: modular grad; div stabilization; pressure correction; correction method ... See more keywords
Coupling Arbogast–Correa and Bernardi–Raugel elements to resolve coupled Stokes–Darcy flow problems
Sign Up to like & getrecommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113469
Abstract: Abstract This paper presents a finite element method for solving coupled Stokes–Darcy flow problems by combining the classical Bernardi–Raugel finite elements and the recently developed Arbogast–Correa (AC) spaces on quadrilateral meshes. The novel weak Galerkin… read more here.
Keywords: bernardi raugel; darcy flow; coupled stokes; bernardi ... See more keywords
Influence of intra-yarn flows on whole 3D woven fabric numerical permeability: from Stokes to Stokes-Darcy simulations
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Multiphase Flow"
DOI: 10.1016/j.ijmultiphaseflow.2020.103349
Abstract: Abstract 2D and 3D numerical permeability of fibrous media are studied based on Stokes and Stokes-Darcy flows simulated by a Finite Element Modelling (FEM). A monolithic approach stabilised by an Algebraic Sub-Grid Scale (ASGS) method… read more here.
Keywords: stokes stokes; permeability; intra yarn; stokes darcy ... See more keywords
A lowest-order staggered DG method for the coupled Stokes–Darcy problem
Sign Up to like & getrecommendations! Published in 2020 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/drz048
Abstract: In this paper we propose a locally conservative, lowest-order staggered discontinuous Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and polygonal meshes. This model is composed of Stokes flow in the fluid region… read more here.
Keywords: order staggered; lowest order; method coupled; method ... See more keywords
Physics-Informed Neural Networks for Solving Coupled Stokes–Darcy Equation
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24081106
Abstract: In this paper, a grid-free deep learning method based on a physics-informed neural network is proposed for solving coupled Stokes–Darcy equations with Bever–Joseph–Saffman interface conditions. This method has the advantage of avoiding grid generation and… read more here.
Keywords: informed neural; network; coupled stokes; physics ... See more keywords