TY  - JOUR
AB  - Methods that use spatial gradients of enthalpy to evaluate effective
specific heats and capture latent heat effects in phase change problems have
been used successfully in finite element formulations based on linear
interpolation. In view of the greater geometrical flexibility and efficiency
of biquadratic isoparametric elements, it is of interest to assess the use of
the methods with these elements. In comparisons with an accurate
semi‐analytic solution for a test problem, it is shown that the
enthalpy gradient methods with quadratic interpolation are prone to error. A
new procedure is proposed that uses bilinear sub‐elements for
enthalpy, formed by subdivision of the biquadratic temperature elements. This
is shown to be accurate and robust, for phase change intervals as small as
0.02°C.
VL  - 4
IS  - 1
SN  - 0961-5539
DO  - 10.1108/EUM0000000004032
UR  - https://doi.org/10.1108/EUM0000000004032
AU  - Pittman J.F.T.
AU  - Whitham G.P.
PY  - 1994
Y1  - 1994/01/01
TI  - Enthalpy gradient methods for capturing latent heat in phase change
simulations using biquadratic isoparametric finite elements
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - MCB UP Ltd
SP  - 85
EP  - 94
Y2  - 2024/04/20
ER  -