NUMERICAL SOLUTION OF THE INVISCID STAGNATION-FLOW SOLIDIFICATION PROBLEM
- 1 November 1995
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part A: Applications
- Vol. 28 (5) , 589-603
- https://doi.org/10.1080/10407789508913763
Abstract
The inviscid stagnation-flow solidification problem is investigated by applying the finite difference method after a coordinate transformation to a fixed domain. Numerical solutions of the temperature distribution and the solid-liquid interface location as well as its growth rate are obtained, and comparisons with the instantaneous-similarity solution and the quasi-steady solution are made. Since the transformed system of equations for this solidification problem has a singularity at t = 0, the finite difference solution is started at a small time using the instantaneous-similarity solution as the initial field. The numerical solution confirms the existence of an asymptotic limit of the solidification front as previously demonstrated by means of both a quasi-steady and an instantaneous-similarity solution.Keywords
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