Journal ArticleDOI
A meshfree interface-finite element method for modelling isothermal solutal melting and solidification in binary systems
Reads0
Chats0
TLDR
A meshfree radial basis functions (RBFs) method is used for solving a distance-regularized level set (DRLS) equation such that re-initialization is completely eliminated and fast marching algorithms for interfacial velocity extension are not necessary resulting in a more efficient solution with excellent volume conservation.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2015-03-01. It has received 8 citations till now. The article focuses on the topics: Meshfree methods & Diffuse element method.read more
Citations
More filters
Thermodynamically-consistent phase-field models for solidification
S. L. Wang,Robert F. Sekerka,A. A. Wheeler,Bruce T. Murray,Sam R. Coriell,Richard J. Braun,Geoffrey B. McFadden +6 more
TL;DR: In this article, a class of phase-field models for crystallization of a pure substance from its melt are presented, which are based on an entropy functional, and are therefore thermodynamically consistent inasmuch as they guarantee spatially local positive entropy production.
Journal ArticleDOI
NURBS enhanced HIFEM
TL;DR: A new generalized NURBS-enhanced mapping for triangular elements with three curvilinear edges, together with an isoparametric approach for evaluating basis functions in these elements to facilitate the construction of enrichment functions in the NeHIFEM is proposed.
Peer ReviewDOI
Point Cloud Generation for Meshfree Methods: An Overview
TL;DR: A brief overview of point cloud generation methods for domains and surfaces is presented and their features and challenges are discussed, in particular in the context of applicability to industry-relevant complex geometries.
Journal ArticleDOI
A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification
TL;DR: In this article, a robust and efficient approach to mesh-free phase-field simulation of dendritic solidification on arbitrary domain geometries using smoothed particle hydrodynamics (SPH) is presented.
Analysis of Mechanical Structures Using Beam Finite Element Method
TL;DR: PASCHAL as discussed by the authors is a finite element language for static and dynamic analysis of structures under the influence of outside excitation with different boundary conditions, which can be used to describe the dynamic behavior of discrete structures which have applications of big importance in many sectors of the industry.
References
More filters
Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI
Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Journal ArticleDOI
Free Energy of a Nonuniform System. I. Interfacial Free Energy
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Related Papers (5)
A coupled extended meshfree–smoothed meshfree method for crack growth simulation
Numerical modeling of composite solids using an immersed meshfree Galerkin method
Cheng-Tang Wu,Yong Guo,E. Askari +2 more