Computational treatment of interface dynamics via phase-field modeling
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Publication:2050286
DOI10.1007/978-3-030-62543-6_2zbMath1481.76263OpenAlexW3140571453MaRDI QIDQ2050286
Miguel Bures, Adrian Moure, Héctor J. Gómez
Publication date: 30 August 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-62543-6_2
Cahn-Hilliard equationsolidificationisogeometric analysisdiffuse interface modeldiffusificationquadratic NURBS element
Numerical computation using splines (65D07) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)
Cites Work
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- Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations
- Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
- A hyperbolic theory for advection-diffusion problems: mathematical foundations and numerical modeling
- A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
- Isogeometric analysis for topology optimization with a phase field model
- Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
- Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system
- Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- A rapidly converging phase field model
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
- Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
- Continuum mechanics. Advanced topics and research trends
- An interface capturing method for free-surface hydrodynamic flows
- Three-dimensional, fully adaptive simulations of phase-field fluid models
- A finite element formulation for a convection-diffusion equation based on Cattaneo's law
- The thermodynamics of elastic materials with heat conduction and viscosity
- Thermodynamically-consistent phase-field models for solidification
- An introduction to \(\Gamma\)-convergence
- Conservative multigrid methods for Cahn--Hilliard fluids.
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- Level set methods and dynamic implicit surfaces
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Computations of dendrites in 3-D and comparison with microgravity experiments
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- Phase-field model of vascular tumor growth: three-dimensional geometry of the vascular network and integration with imaging data
- A thermodynamically consistent numerical method for a phase field model of solidification
- Phase-field model of cellular migration: three-dimensional simulations in fibrous networks
- Phase field modeling and simulation of three-phase flows
- Interaction of complex fluids and solids: theory, algorithms and application to phase-change-driven implosion
- Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- A phase field formulation of the Willmore problem
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Computation of geometric partial differential equations and mean curvature flow
- GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
- A discontinuous Galerkin method for a hyperbolic model for convection–diffusion problems in CFD
- A hyperbolic model for convection-diffusion transport problems in CFD: Numerical analysis and applications
- Elements of Continuum Mechanics and Thermodynamics
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- A Numerical Approach to Three-Dimensional Dendritic Solidification
- The Diffuse Interface Approach in Materials Science
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
- Isogeometric Analysis
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- Boundary integral methods for multicomponent fluids and multiphase materials.
