International Journal of Numerical Methods for Heat & Fluid Flow: Volume 8 Issue 4

A finite element model for convection‐dominated melting and solidification problems

Zhen‐Xiang Gong, Arun S. Mujumdar

This paper presents a two‐dimensional finite element model for convection‐dominated melting and freezing problems. The enthalpy‐porosity approach is utilized to account for the…

A three‐dimensional numerical method for thermal analysis in X‐ray lithography

W. Dai, R. Nassar

X‐ray irradiation of photoresists, such as polymethylmethacrylate (PMMA), on a silicon substrate is an important technique in micro fabrication used to obtain structures and…

Different interface approximations in multi‐domain GDQ simulation of Czochralski bulk flows

C. Shu, Y.T. Chew, Y. Liu

The multi‐domain generalized differential quadrature method is applied in this paper to simulate the flows in Czochralski crystal growth. The effect of interface treatment on the…

Numerical simulation of viscous free surface flow

S.E. Navti, R.W. Lewis, C. Taylor

Methods used to track the free surface in numerical flow simulations, typically during the casting of metals into moulds are examined in this paper. The algorithm employed makes…

Analysis of natural convection melting from a heated wall with vertically oriented fins

M. Lacroix, M. Benmadda

A numerical study is reported of melting from a horizontal heated wall with vertically oriented fins embedded in the phase change material. This work is motivated by the need to…