Numerical Heat Transfer Part B Fundamentals · 1993 · 49 citations · 11 references
EngineeringComputational EngineeringPhysicsComputational Heat TransferFinite Element MethodsHeat TransferFinite Difference MethodsHeat ConductionHeat Transfer AnalysisHeat Transfer In FluidsHeat Transfer ModelingTransient Heat TransferConductivityFinite Element Thermal AnalysisFinite Element Thermal ModelingHeat Conduction EquationPhase-change Heat ConductionThermal ConductivityThermal PropertiesTransient Heat Transfer Analysis
Phase-change problems often involve discontinuities in the thermal properties at the phase-change boundary. This feature needs to be handled carefully when seeking a numerical solution based on a fixed space grid. Of particular concern are discontinuities in the thermal conductivity. In the context of a control-volume finite-difference solution, the requirement is an appropriate approximation of the conductivity values at the control-volume interfaces. In this article, using the Kirchhoff transformation, an approximation for the interface conductivity is developed. The approach is tested on a range of one- and two-dimensional, steady and transient phase-change problems. In addition, a discussion on the extension of the approach to finite-element schemes is included.
11
Numerical Heat Transfer and Fluid Flow
Chia‐Jung Hsu · Nuclear Science and Engineering · 1981 · 15.2K citations
Engineering, Mechanical Engineering, Nuclear Engineering +17
Free and Moving Boundary Problems.
Colin C. Cryer, John Crank · Mathematics of Computation · 1986 · 2.2K citations
Natural Sciences, Computational Engineering, Computational Mechanics +14
Numerical methods in thermal problems
R. A. Adey · Advances in Engineering Software (1978) · 1980 · 332 citations
Engineering, Mathematics, Physics +14