Integration Of 3D Incompressible Free Surface
Navier-Stokes Equations On Unstructured
Tetrahedral Grid Using Distributed Computation
On TCP/IP Networks
Author(s)
N. Evstigneev
Abstract
The incompressible system of Navier-Stokes equations for an Initial-Boundary
Value Problem is solved on an unstructured tetrahedral grid using a finite
volume method. Implementation of a free surface calculation is done by using a
combination of Level Set and Volume Of Fluid methods. A numerical scheme
utilizes the method of fractional steps based on the predictor-corrector method
and the artificial compressibility method. Invariant features of a tetrahedron are
used in order to calculate fluxes over a control volume with higher order. A high
order approximation in Navier-Stokes and VOF level set advection equations is
made by a TVD SuperBEE scheme. The turbulence model is based on LES
methodology. In order to decrease the time of solution for a large geometry, a
distributed computation routine is incorporated into the method. The distributed
calculation is based on a TCP/IP network and can use personal computers under
Windows or UNIX. The efficiency of the distributed calculation is shown. The
method is verified by comparison of results with other calculations and
experiments – cavity flow case, dam break free surface flow case, turbulent flow
in a circular pipe case – Poiseuille flow (turbulent energy distribution). The
method is successfully used for CFD simulation of water intake on Zagorskaya
Hydraulic Power Plant (Russia). The results are close between laboratory
experiments and CFD computations.
Keywords: unstructured grid, finite volume method, artificial compressibility
method, predictor-corrector method, Navier-Stokes equations, distributed
computation.
Keywords
unstructured grid, finite volume method, artificial compressibility
method, predictor-corrector method, Navier-Stokes equations, distributed
computation.
Related Book
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