The aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite element method, the classical boundary element method (BEM) and a modified BEM taking into account the singularities of the solution at the corners of the computing domain. The Marangoni flow occurs in a pellicle of triangular transverse section situated on an inclined plane. On the liquid-gas interface a gradient of surface tension acts along or against the gravity. We obtain numerically the velocity field for various surface tension gradients. Modified BEM proved to be the most reliable approach.
Marangoni flow; Poisson equation; polygonal domain; mixed boundary value problem; finite element method; boundary element method; corner singularity; velocity field;
See the expanding block below.
C.I. Gheorghiu, FEM and/or BEM for numerical simulation of Marangoni flow, Eng. Anal. Bound. Elem., 5 (1988) 195-197
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