Simulation of Coupled Viscous and Porous Flow Problems

DOI10.1080/10618569608940751zbMath0879.76104OpenAlexW2162607268WikidataQ126245592 ScholiaQ126245592MaRDI QIDQ4349085

David K. Gartling, Charles E. Hickox, R. C. Givler

Publication date: 11 August 1997

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618569608940751

zbMATH Keywords

Navier-Stokes equationsconjugate problemsaturated porous mediumincompressible flownon-Darcy modelsBrinkman modelsDarcy modelsporous interface problems

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (44)

Computation of flow past a flat plate with porous trailing edge using a penalization method ⋮ A stable explicit fractional step procedure for the solution of heat and fluid flow through interfaces between saturated porous media and free fluids in presence of high source terms ⋮ Stokes resistance of a porous spherical particle in a spherical cavity ⋮ Combining a level-set method and a mixed stabilized P1/P1 formulation for coupling Stokes-Darcy flows ⋮ Сопряженный расчет течений в областях, содержащих пористое тело и свободный поток ⋮ A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium ⋮ Simulating flow over and through porous media with application to erosion of particulate deposits ⋮ A combined stabilized mixed finite element and discontinuous Galerkin method for coupled Stokes and Darcy flows with transport ⋮ A mixed and nonconforming FEM with nonmatching meshes for a coupled Stokes-Darcy model ⋮ Steady flow around and through a permeable circular cylinder ⋮ A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity ⋮ A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem ⋮ A continuous one-domain framework for fluid flow in superposed clear and porous media ⋮ A unified stabilized method for Stokes' and Darcy's equations ⋮ Finite element implementation of stress-jump and stress-continuity conditions at porous-medium, clear-fluid interface ⋮ Topology optimization of channel flow problems ⋮ A numerical model of fibrous filters containing deposit ⋮ Stabilized finite element method for the stationary mixed Stokes-Darcy problem ⋮ A unified stabilized mixed finite element method for coupling Stokes and Darcy flows ⋮ Numerical flux function for flow through porous media with discontinuous properties ⋮ A parallel domain decomposition method for coupling of surface and groundwater flows ⋮ A comparative study on the performance of two time stepping schemes for convection in a fluid saturated porous medium ⋮ Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics ⋮ A weak Galerkin-mixed finite element method for the Stokes-Darcy problem ⋮ A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model ⋮ A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media ⋮ Natural convection in porous medium‐fluid interface problems ‐ A finite element analysis by using the CBS procedure ⋮ Finite element modelling of flow, heat and mass transfer in fluid-saturated porous media ⋮ Homogenization of a Darcy-Stokes system modeling vuggy porous media ⋮ Domain decomposition method for the fully-mixed Stokes-Darcy coupled problem ⋮ Implementation of compressible porous-fluid coupling method in an aerodynamics and aeroacoustics code. I: Laminar flow ⋮ Unified finite element discretizations of coupled Darcy-Stokes flow ⋮ Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction ⋮ A numerical technique for laminar swirling flow at the interface between porous and homogenous fluid domains ⋮ Lattice Boltzmann method for flows in porous and homogenous fluid domains coupled at the interface by stress jump ⋮ Unsuitability of the Beavers–Joseph interface condition for filtration problems ⋮ A new semi-implicit time stepping procedure for buoyancy driven flow in a fluid saturated porous medium ⋮ Optimal shape design for fluid flow using topological perturbation technique ⋮ LATTICE BOLTZMANN SIMULATION ON NATURAL CONVECTION HEAT TRANSFER IN A TWO-DIMENSIONAL CAVITY FILLED WITH HETEROGENEOUSLY POROUS MEDIUM ⋮ Multiscale modelling of hydraulic conductivity in vuggy porous media ⋮ Microscopic and macroscopic approach for natural convection in enclosures filled with fluid saturated porous medium ⋮ A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media ⋮ A non-primitive boundary integral formulation for modeling flow through composite porous channel ⋮ Topological sensitivity analysis of a time-dependent nonlinear problem

Uses Software

• NACHOS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems. I. Model formulation. II. Application to solidification in a rectangular cavity
• Transient Fluid Motions in Saturated Porous Media
• Modelling of porous media by renormalization of the Stokes equations
• A new least‐squares finite element model for combined Navier–Stokes and Darcy flows in geometrically complicated domains with solid and porous boundaries
• Slow flow through stationary random beds and suspensions of spheres

This page was built for publication: Simulation of Coupled Viscous and Porous Flow Problems