Simulation and Control of a Nonsmooth Cahn–Hilliard Navier–Stokes System with Variable Fluid Densities
From MaRDI portal
Publication:5051776
DOI10.1007/978-3-030-79393-7_9zbMath1502.49015arXiv1907.04285OpenAlexW2975046669MaRDI QIDQ5051776
Carmen Gräßle, Michael Hinze, Tobias Keil, Michael Hintermüller
Publication date: 18 November 2022
Published in: International Series of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.04285
optimal controltwo-phase flowadaptivitynonsmooth systemsmathematical programming with equilibrium constraintsPOD model order reduction
Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
- Unnamed Item
- Unnamed Item
- A bundle-free implicit programming approach for a class of elliptic MPECs in function space
- Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
- Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- On the Cahn-Hilliard equation
- Regularity and stability for the mathematical programming problem in Banach spaces
- Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
- Conical differentiability for evolution variational inequalities
- Conservative multigrid methods for Cahn--Hilliard fluids.
- POD-Galerkin reduced-order modeling with adaptive finite element snapshots
- POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Numerical study of viscoelastic mixtures through a Cahn-Hilliard flow model
- POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots
- A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system
- An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system
- Diffuse interface model for incompressible two-phase flows with large density ratios
- Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions
- Spectral proper orthogonal decomposition
- Distributed Optimal Control of the Cahn–Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models
- Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials
- Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- An adaptive finite-element Moreau–Yosida-based solver for a non-smooth Cahn–Hilliard problem
- Quantitative benchmark computations of two-dimensional bubble dynamics
- Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- Feedback stabilization and optimal control for the Cahn-Hilliard equation
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies
- Energy Stable Model Order Reduction for the Allen-Cahn Equation
- The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Topology optimization of fluids in Stokes flow
- Optimal control of time-discrete two-phase flow driven by a diffuse-interface model
- Model Order Reduction for Problems with Large Convection Effects
- Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System with Nonmatched Fluid Densities
- Nonlinear Model Order Reduction via Dynamic Mode Decomposition
- Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System
- Mathematical Programs with Equilibrium Constraints
- A theoretical and numerical model for the study of incompressible mixture flows
This page was built for publication: Simulation and Control of a Nonsmooth Cahn–Hilliard Navier–Stokes System with Variable Fluid Densities
