Author(s)

W-Q. Lu

Abstract

Boundary element method of analysing non-linear phenomena on gas-liquid two-phase free surface at middle and higher Reynolds numbers* W-Q. Lu Department of Physics, Division of Thermal Science, Graduate School, Chinese Academy of ABSTRACT A boundary element method for analysing non-linear phenomena on gas-liquid two-phase free surface at middle and higher Reynolds numbers has been devel- oped. Employing this method we analyze two kinds of non-linear phenomena on gas-liquid two-phase free surface (l) Solitary wave on free falling thin liquid film. (2) Surface tension drives convective flows in open-boat type crystal-growth techniques in microgravity environment. INTRODUCTION Although some new schemes of discretizing convective terms are developed as QUICK and QUICK ER in finite difference methods[FDM] and finite element methods[FEM], but it is very difficult to avoid numerical diffusion introduced by convective discretizations, especially, at high Reynolds number. In [1], they

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