The well-posedness and discontinuous Galerkin approximation for the non-Newtonian Stokes-Darcy-Forchheimer coupling system
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Publication:6053004
DOI10.1007/s10915-023-02344-wMaRDI QIDQ6053004
Publication date: 17 October 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
error estimatesdiscontinuous Galerkin methodPicard iterationnon-Newtonian flownonlinear monotone theoryStokes-Darcy-Forchheimer
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)
Cites Work
- Navier-Stokes/Forchheimer models for filtration through porous media
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- Coupling nonlinear Stokes and Darcy flow using mortar finite elements
- Numerical analysis of the Navier-Stokes/Darcy coupling
- Functional analysis, Sobolev spaces and partial differential equations
- Models for flow of non-Newtonian and complex fluids through porous media
- A stabilized finite volume element method for a coupled Stokes-Darcy problem
- Hemorheology: non-Newtonian constitutive models for blood flow simulations
- Mixed element method for two-dimensional Darcy-Forchheimer model
- Some DG schemes for the Stokes-Darcy problem using P1/P1 element
- An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface
- A discontinuous Galerkin method for the coupled Stokes and Darcy problem
- A global-in-time domain decomposition method for the coupled nonlinear Stokes and Darcy flows
- Coupling Stokes–Darcy Flow with Transport
- On the Boundary Condition at the Surface of a Porous Medium
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Coupling of Darcy–Forchheimer and Compressible Navier–Stokes Equations with Heat Transfer
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Mathematical Modelling of Flow through Pleated Cartridge Filters
- Finite Element Methods for Navier-Stokes Equations
- Coupling Fluid Flow with Porous Media Flow
- Numerical approximation of generalized Newtonian fluids using Powell-Sabin-Heindl elements: I. theoretical estimates
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Locally Conservative Coupling of Stokes and Darcy Flows
- Korn's inequalities for piecewise $H^1$ vector fields
- Residual-baseda posteriorierror analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
- A fully mixed finite element method for the coupling of the Stokes and Darcy–Forchheimer problems
- A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
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