Vasilios Alexiades, Noureddine Hannoun, & Tsun Zee Mai
Abstract:
Benchmark solutions in Computational Fluid Dynamics are necessary for
testing and for the verification of newly developed algorithms and codes.
For flows involving heat transfer coupled to solid-liquid phase change
and convection in the melt, such benchmark solutions do not exist. A
set of benchmark problems has recently been proposed for melting of
metals and waxes and several researchers responded by providing
solutions for the given problems. It was shown in two recent
publications that there were large discrepancies in the results obtained
by those contributors. In the present, work we focus on one of the four
test problems, tin melting at Rayleigh number Ra=2.5 X 10^5.
Solutions obtained for several grids and two discretization schemes
are presented and compared. Our results are used to explain the
origin of the discrepancies in earlier results. Suggestions for
future work are also provided.
Published February 28, 2003.
Subject classifications: 80A22, 74S10, 76D05, 65N99.
Key words: Phase change, melting, numerical simulation, enthalpy method,
benchmark, fluid flow.
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Vasilios Alexiades Mathematics Department, University of Tennessee, Knoxville, TN 37996-1300 USA, and Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA e-mail: alexiades@utk.edu |
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Noureddine Hannoun Mathematics Department, University of Tennessee, Knoxville, TN 37996-1300, USA e-mail: hannoun@math.utk.edu |
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Tsun Zee Mai Mathematics Department, Box 870350, The University of Alabama, Tuscaloosa, AL 35487, USA e-mail: tmai@gp.as.ua.edu |
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