# FEM and/or BEM for numerical simulation of Marangoni flow

## Abstract

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.

## Authors

C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis

## Keywords

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

### References

See the expanding block below.

## Paper coordinates

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

0264-682X

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