The Meshfree Interface Finite Element Method for Numerical Simulation of Dendritic Solidification with Fluid Flow
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Publication:4962554
DOI10.1142/S0219876218500573zbMath1404.76161OpenAlexW2771425825MaRDI QIDQ4962554
Publication date: 5 November 2018
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876218500573
phase transformationradial basis functionslevel setsdendritic solidificationmeshfree methodsreinitialization
Navier-Stokes equations for incompressible viscous fluids (76D05) Stefan problems, phase changes, etc. (80A22) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Numerical Study of Grain Growth in Laser Powder Bed Fusion Additive Manufacturing of Metals ⋮ A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification ⋮ Fluid–Solid Interaction Analysis on Iliac Bifurcation Artery: A Numerical Study ⋮ A Stabilized Finite Volume Element Method for Stationary Stokes–Darcy Equations Using the Lowest Order
Uses Software
Cites Work
- Connectivity-free front tracking method for multiphase flows with free surfaces
- An oriented particle level set method based on surface coordinates
- Study of crystal growth and solute precipitation through front tracking method
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A self-adaptive oriented particles Level-Set method for tracking interfaces
- Modelling dendritic solidification with melt convection using the extended finite element method
- Sharp interface tracking using the phase-field equation
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Efficient computation of dendritic growth with \(r\)-adaptive finite element methods
- Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity
- Numerical simulation of dendritic solidification with convection: Two-dimensional geometry
- Front tracking with moving-least-squares surfaces
- Mathematical foundations of the immersed finite element method
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A front-tracking method for viscous, incompressible multi-fluid flows
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Numerical analysis of blood flow in the heart
- Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- The partition of unity finite element method: basic theory and applications
- Modeling dendritic growth of a binary alloy
- A level set approach for the numerical simulation of dendritic growth
- A coupled finite element and meshless local Petrov--Galerkin method for two-dimensional potential problems.
- Sharp-interface simulation of dendritic growth with convection: Benchmarks.
- On the optimal shape parameters of radial basis functions used for 2-D meshless methods
- A sharp interface isogeometric solution to the Stefan problem
- Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
- Modeling melt convection in phase-field simulations of solidification
- Solving thermal and phase change problems with the extended finite element method
- Level set methods and dynamic implicit surfaces
- A hybrid particle level set method for improved interface capturing
- A front-tracking method for dendritic solidification
- A coupled finite element -- element-free Galerkin method
- A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids
- Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces
- Sharp interface numerical simulation of directional solidification of binary alloy in the presence of a ceramic particle
- A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
- Sharp interface Cartesian grid method. III: Solidification of pure materials and binary solutions
- A Lagrangian particle level set method
- A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Arbitrary discontinuities in finite elements
- A new technique for numerical simulation of dendritic solidification using a meshfree interface finite element method
- Coupling of mesh-free methods with finite elements: basic concepts and test results
- A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
- A discontinuous-Galerkin-based immersed boundary method
- Elastic crack growth in finite elements with minimal remeshing
- Element‐free Galerkin methods
- THE PARTITION OF UNITY METHOD
- Radial Basis Functions
- The extended finite element method (XFEM) for solidification problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A hybrid extended finite element/level set method for modeling phase transformations
- A point interpolation meshless method based on radial basis functions
- Finite Element Methods with B-Splines
- A finite element method for crack growth without remeshing
- Distance Regularized Level Set Evolution and Its Application to Image Segmentation
- Reinitialization-Free Level Set Evolution via Reaction Diffusion
- GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE
- Fixed mesh front‐tracking methodology for finite element simulations
- On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method
- The point-set method: Front-tracking without connectivity
- A front-tracking method for the computations of multiphase flow.
- Front-tracking finite element method for dendritic solidification
- An augmented Lagrangian element-free (ALEF) approach for crack discontinuities.
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