A Front-Tracking Method for Dendritic Solidification

TL;DR: In this paper, the authors describe the development and validation of Computational Fluid Dynamics (CFD) methodology for the simulation of dispersed two-phase flows, which employs averaged mass and momentum conservation equations to describe the time-dependent motion of both phases.

TL;DR: In this paper, the authors present a system of equations for evolving pseudomonotone or weakly continuous mappings with set-valued mappings, and a set of auxiliary tools.

TL;DR: In this paper, the authors considered some aspects of water impact and green water loading by numerically investigating a dambreak problem and water entry problems, based on the Navier-Stokes equations that describe the flow of a viscous fluid.

TL;DR: In this article, a diffuse interface model is presented for direct numerical simulation of microstructure evolution in solidification processes involving convection in the liquid phase, where the solidification front is treated as a moving interface in the diffuse approximation.

TL;DR: In this paper, the authors developed finite difference methods for elliptic equations of the form \[ abla \cdot (\beta (x)) + \kappa (x)u(x) = f(x)) in a region in one or two dimensions.

TL;DR: In this article, a general framework is given for the phenomenological kinetics of phase transitions in which not only the order parameter but also the temperature may vary in time and space.

TL;DR: In this paper, 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.

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.