A modified two-grid method for solving coupled Navier-Stokes/Darcy model based on Newton iteration

DOI10.1007/S11766-015-3291-xzbMath1349.76071OpenAlexW2268058251MaRDI QIDQ904127

Xinping Shao, Yujing Shen, Danfu Han

Publication date: 15 January 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-015-3291-x

zbMATH Keywords

Darcy's lawNewton iterationNavier-Stokes equationtwo-grid algorithminterface coupling

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (3)

A multilevel decoupling method for the Navier-Stokes/Darcy model ⋮ Defect deferred correction method for two domain natural convection problem ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A two-grid algorithm based on Newton iteration for the stream function form of the Navier-Stokes equations
• On the solution of the coupled Navier-Stokes and Darcy equations
• Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
• A multilevel decoupled method for a mixed Stokes/Darcy model
• A numerical solution of the Navier-Stokes equations using the finite element technique
• Mathematical and numerical models for coupling surface and groundwater flows
• A two-level discretization method for the Navier-Stokes equations
• Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
• On the Boundary Condition at the Surface of a Porous Medium
• A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
• DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
• On a Galerkin–Lagrange Multiplier Method for the Stationary Navier–Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Solving Composite Problems with Interface Relaxation
• A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman

This page was built for publication: A modified two-grid method for solving coupled Navier-Stokes/Darcy model based on Newton iteration