Penalization model for Navier–Stokes–Darcy equations with application to porosity-oriented topology optimization
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Publication:4961317
DOI10.1142/S0218202518500409zbMath1401.35234MaRDI QIDQ4961317
Delphine Ramalingom, Alain Bastide, Pierre-Henri Cocquet
Publication date: 26 October 2018
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20) Flow control and optimization for incompressible viscous fluids (76D55)
Related Items (5)
Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid ⋮ Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions ⋮ Variational geometric approach to the thermodynamics of porous media ⋮ Actively deforming porous media in an incompressible fluid: a variational approach ⋮ Optimization of Bathymetry for Long Waves with Small Amplitude
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Cites Work
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- Topology optimization of heat conduction problems using the finite volume method
- Navier-Stokes/Forchheimer models for filtration through porous media
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- The limits of porous materials in the topology optimization of Stokes flows
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- A penalization method to take into account obstacles in incompressible viscous flows
- A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer
- Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
- Regularity of solutions to the Navier-Stokes equations with a nonstandard boundary condition
- Asymptotic study for Stokes–Brinkman model with jump embedded transmission conditions
- Convergence of Cell Based Finite Volume Discretizations for Problems of Control in the Conduction Coefficients
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Algorithms for PDE-constrained optimization
- Topology optimization of microfluidic mixers
- Spectral Approximations of the Stokes Equations with Boundary Conditions on the Pressure
- The topological asymptotic for the Navier-Stokes equations
- Asymptotic Analysis and Boundary Layers
- Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
- Optimization with PDE Constraints
- A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Topology optimization of regions of Darcy and Stokes flow
- Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
- Some optimal control problems of multistate equations appearing in fluid mechanics
- Non-standard Stokes and Navier-Stokes problems: existence and regularity in stationary case
- Perspectives in Flow Control and Optimization
- Topology optimization of fluids in Stokes flow
- Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
- New development in freefem++
- A fictitious domain approach for the Stokes problem based on the extended finite element method
- Viscous Problems with Inviscid Approximations in Subregions: a New Approach Based on Operator Factorization
- Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure
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