Quantitative phase-field modeling of solidification at high Lewis number.
نویسندگان
چکیده
A phase-field model of nonisothermal solidification in dilute binary alloys is used to study the variation of growth velocity, dendrite tip radius, and radius selection parameter as a function of Lewis number at fixed undercooling. By the application of advanced numerical techniques, we have been able to extend the analysis to Lewis numbers of order 10 000, which are realistic for metals. A large variation in the radius selection parameter is found as the Lewis number is increased from 1 to 10 000.
منابع مشابه
An adaptive, fully implicit multigrid phase-field model for the quantitative simulation of non-isothermal binary alloy solidification
Using state-of-the-art numerical techniques, such as mesh adaptivity, implicit time-stepping and a non-linear multi-grid solver, the phase-field equations for the non-isothermal solidification of a dilute binary alloy have been solved. Using the quantitative, thin-interface formulation of the problem we have found that at high Lewis number a minimum in the dendrite tip radius is predicted with ...
متن کاملQuantitative Phase-Field Modelling of Solidification at High Lewis Number
A phase-field model of non-isothermal solidification in dilute binary alloys is used to study the variation of growth velocity, dendrite tip radius and radius selection parameter as a function of Lewis number at fixed undercooling. By the application of advanced numerical techniques we have been able, for the first time, to extend the analysis to Lewis numbers of order 10000, which are realisti...
متن کاملAn adaptive mesh method for phase-field simulation of alloy solidification in three dimensions
We present our computational method for binary alloy solidification which takes advantage of high performance computing where up to 1024 cores are employed. Much of the simulation at a sufficiently fine resolution is possible on a modern 12 core PC and the 1024 core simulation is only necessary for very mature dendrite and convergence testing where high resolution puts extreme demands on memory...
متن کاملPhase-Field Models for Eutectic Solidification
This article discusses two methods for modeling eutectic solidifi cation using the phase-field approach. First, a multi-phase-fi eld model is used to study the three-dimensional morphological evolution of binary eutectics. Performing the calculations in three dimensions allows observation of both lamellar and rod-like structures as well as transient phenomena such as lamellar fault motion, rod-...
متن کاملPhase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach
Alloy dendrite growth during solidification with coupled thermal-solute-convection fields has been studied by phase field modeling and simulation. The coupled transport equations were solved using a novel parallel-multigrid numerical approach with high computational efficiency that has enabled the investigation of dendrite growth with realistic alloy values of Lewis number ~ 10 and Prandtl numb...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 79 3 Pt 1 شماره
صفحات -
تاریخ انتشار 2009