Adjoint-based optimization of two-dimensional Stefan problems

DOI10.1016/j.jcp.2022.111875OpenAlexW4313367750MaRDI QIDQ2683099

Tomas Fullana, Vincent Le Chenadec, Taraneh Sayadi

Publication date: 3 February 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07326

zbMATH Keywords

Stefan problemlevel-setgradient-based optimizationcut cell methodcontinuous adjoint

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Thermodynamics and heat transfer (80Axx)

Uses Software

• Gerris
• L-BFGS
• Julia
• Optim

Cites Work

• Unnamed Item
• A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate
• An accurate adaptive solver for surface-tension-driven interfacial flows
• Optimal control of the free boundary in a two-phase Stefan problem
• On the limited memory BFGS method for large scale optimization
• On reinitializing level set functions
• A computational framework for derivative-free optimization of cardiovascular geometries
• Control of Stefan problems by means of linear-quadratic defect minimization
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Aerodynamic design via control theory
• A conserving discretization for the free boundary in a two-dimensional Stefan problem
• A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
• A simple level set method for solving Stefan problems
• Optimum aerodynamic design using the Navier-Stokes equations
• A level set approach for the numerical simulation of dendritic growth
• Variational algorithms and pattern formation in dendritic solidification
• An enthalpy scheme for Stefan problems in several dimensions
• A PDE-based fast local level set method
• A front-tracking method for dendritic solidification
• A sharp numerical method for the simulation of Stefan problems with convective effects
• A comparison of numerical models for one-dimensional Stefan problems
• Inflow-implicit/outflow-explicit finite volume methods for solving advection equations
• A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods
• Julia: A Fresh Approach to Numerical Computing
• Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation
• Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition
• A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach
• Real-time control of the free boundary in a two-phase stefan problem
• Numerical Simulations of Unsteady Crystal Growth
• On optimum design in fluid mechanics
• Control of the freezing interface motion in two‐dimensional solidification processes using the adjoint method
• Optimal mixing in two-dimensional plane Poiseuille flow at finite Péclet number
• Adjoint-based sensitivity analysis of steady char burnout
• Adjoint-based sensitivity analysis of quantities of interest of complex combustion models
• Adjoint-based sensitivity analysis of flames
• Radially symmetric phase growth controlled by diffusion
• An introduction to the adjoint approach to design

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