Study of Numerical Errors in DNS/LES

YANG Xiao-long; FU Song

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YANG Xiao-long, FU Song. Study of Numerical Errors in DNS/LES[J]. Applied Mathematics and Mechanics, 2008, 29(7): 790-798.

Citation:

YANG Xiao-long, FU Song. Study of Numerical Errors in DNS/LES[J]. Applied Mathematics and Mechanics, 2008, 29(7): 790-798.

Citation:

YANG Xiao-long, FU Song. Study of Numerical Errors in DNS/LES[J]. Applied Mathematics and Mechanics, 2008, 29(7): 790-798.

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Study of Numerical Errors in DNS/LES

YANG Xiao-long¹,
FU Song²

1.
Research Center for Advanced Power-Strain Technology, Hunan University, Changsha 410082, P. R. China;

Received Date: 2007-10-25
Rev Recd Date: 2008-05-12
Publish Date: 2008-07-15

Abstract

Abstract

By comparing the energy spectrum and total kinetic energy,the effects of numerical errors (which arise from aliasing and discretization errors),subgrid-scale(SGS) models and their interactions on direct numerical simulation(DNS) and large eddy simulation(LES) were investigated in detail.The decaying isotropic turbulence was chosen as the test case.In order to simulate complex geometries,both spectral method and Pad?compact difference schemes were studied.The truncated Navier-Stokes(TNS) equation model with Pad discrete filter was adopted as SGS model.It is shown that for DNS,discretization error plays a key role in the simulation.Low order difference scheme may be not suitable.While for LES,it is found that SGS model can not only represent the effect of small scales to large scales,but also dump the numerical errors.Thus low order discretization scheme can also obtain reasonable results.
- numerical errors,
- TNS model,
- Pad compact difference scheme,
- discrete filter,
- LES

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References(16)

References

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