FEM and/or BEM for numerical simulation of Marangoni flow


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.


C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis


Marangoni flow; Poisson equation; polygonal domain;  mixed boundary value problem; finite element method; boundary element method; corner singularity; velocity field;


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C.I. Gheorghiu, FEM and/or BEM for numerical simulation of Marangoni flow, Eng. Anal. Bound. Elem., 5 (1988) 195-197
doi: 10.1016/0264-682X(88)90016-0


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