A hybrid numerical scheme combining the Laplace transform and control-volume methods is presented to solve nonlinear two-dimensional phase-change problems with the irregular geometry. The Laplace transform method is applied to deal with the time domain, and then the control-volume method is used to discretize the transformed system in the space domain. Nonlinear terms induced by the temperature-dependent thermal properties are linearized by using the Taylor series approximation. Control-volume meshes in the solid and liquid regions during simulations are generated by using the discrete transfinite mapping method. The location of the phase-change interface and the isothermal distributions are determined. Comparison of these results with previous results shows that the present numerical scheme has good accuracy for two-dimensional phase-change problems.
|Number of pages||8|
|Journal||Heat and Mass Transfer/Waerme- und Stoffuebertragung|
|Publication status||Published - 1997 Jan 1|
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Fluid Flow and Transfer Processes