A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations

DOI10.1016/j.compfluid.2018.03.032zbMath1390.76593OpenAlexW2790548296MaRDI QIDQ1649828

Zhilin Li, Ming-Chih Lai, Xiao-Fei Peng, Zhi-Yue Zhang

Publication date: 28 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2018.03.032

zbMATH Keywords

interface relationsanalytic solution for Navier-Stokes and Darcy couplingcoupled fluid flow with porous mediafast Poisson/Helmholtz solverleast squares augmented IIMNavier-Stokes and Darcy coupling

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items (9)

On Uzawa-SSI method for non-Hermitian saddle point problems ⋮ A reduced-order immersed interface method based on POD basis for parabolic interface problem ⋮ Second order convergence of a modified MAC scheme for Stokes interface problems ⋮ Error estimates for an augmented method for one-dimensional elliptic interface problems ⋮ Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries ⋮ Unnamed Item ⋮ An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids ⋮ ON THE UPSS METHOD FOR NON-HERMITIAN SINGULAR SADDLE POINT PROBLEMS ⋮ A full discretization of a time-dependent closed-loop geothermal system by a two-grid scheme

Uses Software

• IIMPACK

Cites Work

• Unnamed Item
• A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions
• Numerical approximation with Nitsche's coupling of transient Stokes/Darcy's flow problems applied to hemodynamics
• On the solution of the coupled Navier-Stokes and Darcy equations
• Finite difference schemes for incompressible flow based on local pressure boundary conditions
• Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
• Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications
• On the accuracy of finite difference methods for elliptic problems with interfaces.
• Numerical analysis of the Navier-Stokes/Darcy coupling
• A strongly conservative finite element method for the coupling of Stokes and Darcy flow
• Boundary integral solutions of coupled Stokes and Darcy flows
• Stokes-Darcy boundary integral solutions using preconditioners
• A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media
• Mathematical and numerical models for coupling surface and groundwater flows
• Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
• A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
• Approximation of coupled Stokes-Darcy flow in an axisymmetric domain
• Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
• Combining a level-set method and a mixed stabilized P1/P1 formulation for coupling Stokes-Darcy flows
• An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions
• Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
• Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
• A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
• Coupling Stokes–Darcy Flow with Transport
• A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
• Superconvergence analysis of FEMs for the Stokes-Darcy system
• A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
• Analysis of time-dependent Navier–Stokes flow coupled with Darcy flow
• Unified finite element discretizations of coupled Darcy-Stokes flow
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Coupling Fluid Flow with Porous Media Flow
• A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh
• The Immersed Interface Method

This page was built for publication: A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations