The phase-change heat conduction analysis during solidification processes by a hybrid generalized FDM

摘要

In this paper,the single-domain enthalpy model is adopted for heat transfer analysis of phase change during solidification processes.The resulting second-order parabolic partial differential equations(PDEs)with varying thermophysical coefficients is numerically solved by a hybrid generalized finite difference method(GFDM)under mixed boundary conditions.The spatial derivatives in the PDEs are approximated by the Taylor series expansions combining with the moving-least squares technique.The temporal derivative is evaluated with a six-point symmetric difference by the classical Crank-Nicholson technique.The Newton-Raphson iteration method is used to solve the resulting nonlinear algebraic equations.Finally,the transient temperature field and the moving phase-change interface are obtained by analysing the nodal temperature distribution.Several examples are presented for verify the stability and effectiveness of this meshless method.