Modeling and numerical simulations of dendritic crystal growth

A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure

Journal of Computational Physics

A moving mesh method for the solution of the one-dimensional phase-field equations

Journal of Computational Physics

Visual simulation of ice crystal growth

Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation

Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model

Journal of Computational Physics

A hybrid algorithm for modeling ice formation

SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation

Solution of vector Stefan problems with cross-diffusion

Journal of Computational and Applied Mathematics

Crystal growth of pure substances: Phase-field simulations in comparison with analytical and experimental results

Journal of Computational Physics

An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows

Journal of Computational Physics

A physically based model of ice

SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches

Discontinuous Finite-Element Phase-Field Modeling of Polycrystalline Grain Growth with Convection

Computers & Mathematics with Applications

A numerical procedure for solving 2D phase-field model problems

Journal of Computational Physics

A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification

Journal of Computational Physics

Lattice Boltzmann model for diffusion-controlled indirect dissolution

Computers & Mathematics with Applications

Phase-field simulations of partial melts in geological materials

Computers & Geosciences

Shape and topology optimization based on the phase field method and sensitivity analysis

Journal of Computational Physics

Solution of vector Stefan problems with cross-diffusion

Journal of Computational and Applied Mathematics

Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures

SIAM Journal on Numerical Analysis

Peta-scale phase-field simulation for dendritic solidification on the TSUBAME 2.0 supercomputer

Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis

Phase field method to optimize dielectric devices for electromagnetic wave propagation

Journal of Computational Physics

Development of a novel phase-field method for local stress-based shape and topology optimization

Computers and Structures

A critical comparative assessment of differential equation-driven methods for structural topology optimization

Structural and Multidisciplinary Optimization

Efficient techniques for bridging from atomic to mesoscopic scale in phase-field simulations

Journal of Computational Methods in Sciences and Engineering