|Table of Contents|

Click and Copy

Application of the VOF method based on unstructured quadrilateral mesh

Info

Title:
Application of the VOF method based on unstructured quadrilateral mesh
Author(s):
JI Chun-ning SHI Ying
Affilations:
Author(s):
-
Keywords:
VOF unstructured quadrilateral mesh PLIC MLER
分类号:
O357.1
DOI:
-
Abstract:
To simulate two-dimensional free-surface flows with complex boundaries directly and accurately, a novel VOF (Volume-of-fluid) method based on unstructured quadrilateral mesh is presented. Without introducing any complicated boundary treatment or artificial diffusion, this method treated curved boundaries directly by utilizing the inherent merit of unstructured mesh in fitting curves. The PLIC (Piecewise Linear Interface Calculation) method was adopted to obtain a second-order accurate linearized reconstruction approximation and the MLER (Modified Lagrangian-Eulerian Re-map) method was introduced to advect fluid volumes on unstructured mesh. Moreover, an analytical relation for the interface’s line constant vs. the volume clipped by the interface was developed so as to improve the method’s efficiency. To validate this method, a comprehensive series of large straining advection tests were performed. Numerical results provide convincing evidences for the method’s high volume conservative accuracy and second-order shape error convergence rate. Also, a dramatic improvement on computational accuracy over its unstructured triangular mesh counterpart is checked.

References:

1. RIDER W J.KOTHE D B Reconstructing volume tracking 1998
2. SCARDOVELLI R.ZALESKI S Direct numerical simulation of free-surface and interfacial flow 1999
3. OSHER S.FEDKIW R Level set methods:an overview and some recent results 2001
4. JACQMIN D Calculation of two-phase Navier-Stokes flows using phase-field modeling 1999
5. HIRT C W.NICHOLS B D Volume-of-fluid (VOF)method for the dynamics of free boundaries 1981
6. HIRT C W.SICILIAN J M A porosity technique for the definition of obstacles in rectangular cell meshes 1985
7. JI C N.WANG Y Z.WANG J F A novel VOF-type volume-tracking method for free-surface flows based on unstructured triangular mesh [期刊论文] -China Ocean Engineering2005(04)
8. YOUNGS D L Time-dependent multi-material flow with large fluid distortion 1982
9. PRESS W I4.TEUKOLSKY S A.VETTERLING W T Numerical recipes in Fortran 1986
 10. YANG X F.JAMES A J Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids 2006
11. MOSSO S J.SWAM B K.KOTHE D B A parallel volume-tracking algorithm for unstructured meshes 1997
12. ROURKE J O Computational geometry in C 1993

Memo

Memo:
国家自然科学基金
Last Update: 2008-10-08