Viscous Flow With Free Surface Motion by Least Square Finite Element Method

TANG Bo; LI Jun-feng; WANG Tian-shu

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TANG Bo, LI Jun-feng, WANG Tian-shu. Viscous Flow With Free Surface Motion by Least Square Finite Element Method[J]. Applied Mathematics and Mechanics, 2008, 29(7): 855-863.

Citation:

TANG Bo, LI Jun-feng, WANG Tian-shu. Viscous Flow With Free Surface Motion by Least Square Finite Element Method[J]. Applied Mathematics and Mechanics, 2008, 29(7): 855-863.

Citation:

TANG Bo, LI Jun-feng, WANG Tian-shu. Viscous Flow With Free Surface Motion by Least Square Finite Element Method[J]. Applied Mathematics and Mechanics, 2008, 29(7): 855-863.

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Viscous Flow With Free Surface Motion by Least Square Finite Element Method

School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2007-11-08
Rev Recd Date: 2008-06-13
Publish Date: 2008-07-15

Abstract

Abstract

A method for simulation of free surface problems is presented.Based on the viscous incompressible Navier-Stokes equations,the space discretization of the flow was obtained by least square finite element method and the time evolution was obtained by finite difference method.Lagrangian description was used to track the free surface.The results here were compared with experimental dam break results,including water collapse in 2D rectangular section and in 3D cylinder section.Good agreement was achieved for the distance of surge front as well as the height of residual column.
- incompressible viscous fluid,
- Lagrangian description,
- least square finite element method,
- dam break experiment

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References(10)

References

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