CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE

This report is concerned with the question of computing accurate approximations to the motion of large structures in turbulent flows. We choose a fundamental closure model used in Large Eddy Simulation and investigate how a simple finite element method can be used to compute discrete solutions. We determine that both stability and accuracy of the discretization depend strongly on how filtering is performed. A numerical example is provided that supports our theoretical findings.

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Large eddy simulation of three-dimensional turbulent flows by the finite element method

Journal of the Brazilian Society of Mechanical Sciences and Engineering ◽

10.1590/s1678-58782006000200012 ◽

2006 ◽

Vol 28 (2) ◽

pp. 224-232 ◽

Cited By ~ 5

Author(s):

Adriane P. Petry ◽

Armando M. Awruch

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Large Eddy Simulation ◽

Turbulent Flows ◽

Three Dimensional ◽

The Finite Element Method ◽

Eddy Simulation ◽

Large Eddy ◽

Element Method

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LARGE EDDY SIMULATION OF HYDROELASTIC VIBRATION USING THE FINITE ELEMENT METHOD

International Journal of Modern Physics B ◽

10.1142/s0217979210055871 ◽

2010 ◽

Vol 24 (24) ◽

pp. 4683-4706 ◽

Cited By ~ 2

Author(s):

W. Q. WANG ◽

L. X. ZHANG ◽

X. Q. HE ◽

Y. GUO

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Large Eddy Simulation ◽

Guide Vane ◽

The Finite Element Method ◽

Hydro Turbine ◽

Eddy Simulation ◽

Large Eddy ◽

Hydroelasticity Problem ◽

Element Method

This work is concerned with modeling the interaction of fluid flow with flexible solid structures. An improving spring smooth analogy and an improved constant volume transfer (ICVT) are used to provide fluid mesh control and transfer the information on the interfaces between fluid and structure, respectively. The time integrating algorithm is based on the predictor multi-corrector algorithm (PMA). An important aspect of this work is that we present a directly coupled approach, in which a large eddy simulation (LES) fluid solver and a structure solver have been coupled together to solve a hydroelasticity problem using the finite element method. To demonstrate the performance of the proposed approach, two working examples were used. One is the vibration of a beam immersed in incompressible fluid, another is the hydroelastic behavior of an ideal guide vane in a hydro turbine passage. The numerical results show the validity of the proposed approach.

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Accuracy of large eddy simulation for turbulent flow by the finite element method

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/0954406981521600 ◽

1998 ◽

Vol 212 (7) ◽

pp. 643-650

Author(s):

T Uchiyama

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Large Eddy Simulation ◽

Processing Unit ◽

The Finite Element Method ◽

Central Processing ◽

Eddy Simulation ◽

Advection Term ◽

Large Eddy ◽

Element Method

This paper investigates the computational accuracy and CPU (central processing unit) time of large eddy simulation (LES) for turbulent flows performed by the finite element method. The investigations are accomplished by simulating a fully developed turbulent channel flow, which was analysed by Kim et al. using the direct numerical simulation (DNS) technique. When the advection term is discretized in gradient form, the turbulence decays and disappears with the passage of time. In using a multipass algorithm to solve the velocity field, the numerical result obtained by discretizing the advection term in divergent form agrees very well with that of the DNS. The multipass algorithm with the number of iterations k = 2 and 3 predict almost the same results. Thus, the algorithm with k = 2, allowing calculation with less CPU time, is successfully applicable to LES.

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