Modelling binary alloy solidification with adaptive mesh refinement

Multiphase and multicomponent flows (76Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Thermodynamics and heat transfer (80Axx)

Cites Work

Unnamed Item
Adaptive mesh refinement for hyperbolic partial differential equations
Adaptive mesh refinement for coupled elliptic-hyperbolic systems
Multidimensional upwind methods for hyperbolic conservation laws
Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell
Convective flow and heat transfer in a tall porous cavity side-cooled with temperature profile
An adaptive finite element scheme for transient problems in CFD
Local adaptive mesh refinement for shock hydrodynamics
Natural convective heat transfer in a fluid saturated variable porosity medium
A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
An unsplit 3D upwind method for hyperbolic conservation laws
A cell-centered adaptive projection method for the incompressible Euler equations
Modeling melt convection in phase-field simulations of solidification
A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions
Solidification of a binary alloy: finite-element, single-domain simulation and new benchmark solutions
Nonlinear analysis of buoyant convection in binary solidification with application to channel formation
A THERMODYNAMICALLY CONSISTENT MODEL OF A MUSHY ZONE
Steady-state mushy layers: experiments and theory
Solidification of an alloy from a cooled boundary
The Formation of Freckles in Binary Alloys
Instabilities of the liquid and mushy regions during solidification of alloys
The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
A numerical investigation of steady convection in mushy layers during the directional solidification of binary alloys
A Multigrid Tutorial, Second Edition
Steady-state chimneys in a mushy layer
Weakly nonlinear analysis of convection in mushy layers during the solidification of binary alloys
Weak convection, liquid inclusions and the formation of chimneys in mushy layers
Nonlinear mushy-layer convection with chimneys: stability and optimal solute fluxes
On weakly nonlinear convection in mushy layers during solidification of alloys
Natural convection in a mushy layer