A dynamic multilevel model for the simulation of the small structures in homogeneous isotropic turbulence

被引:12
作者
Dubois T. [1 ]
Jauberteau F. [1 ]
机构
[1] Lab. de Math. Appliquées, Université Blaise Pascal, CNRS (UMR 6620)
关键词
Direct numerical simulation; Filtering; Multilevel methods; Small scales; Turbulence;
D O I
10.1023/A:1023223217210
中图分类号
学科分类号
摘要
A multilevel method for simulation of small structures applied to homogeneous isotropic turbulence, is described. The analysis of the nonlinear interaction term in the large scale equation shows that they locally have a very small contribution to the whole dynamic of the flow. Specific treatments for the nonlinear interaction terms are achieved by a space and time adaptive procedure and the cut-off value which defines the scale separation varies as time evolves. The multilevel algorithm is stable and the corresponding simulated flows reach a statistically steady state very close to the direct numerical simulations (DNS).
引用
收藏
页码:323 / 367
页数:44
相关论文
共 31 条
[1]  
Batchelor G.K., Theory of Homogeneous Turbulence, (1953)
[2]  
Burie J.B., Marion M., Multi-level methods in space and time for the Navier-Stokes equations, SIAM J. Num. Anal., (1997)
[3]  
Canuto C., Hussaini Y., Quarteroni A., Zang T.A., Spectral Methods in Fluid Dynamics, (1988)
[4]  
Chen S., Doolen G.D., Kraichnan R.H., She Z.S., On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulence, Phys. Fluids A, 5, 2, pp. 458-463, (1993)
[5]  
Deardorflf J.W., A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech., 41, pp. 453-480, (1970)
[6]  
Debussche A., Dubois T., Temam R., The nonlinear Galerkin method: A multi-scale method applied to the simulation of homogeneous turbulent flows, Theoret. Comput. Fluid Dyn., 7, 4, pp. 279-315, (1995)
[7]  
Dubois T., Jauberteau F., Temam R., Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method, J. Sci. Comput., 8, 2, pp. 167-184, (1993)
[8]  
Dubois T., Jauberteau F., Zhou Y., Influences of subgrid scale dynamics on resolvable scale statistics in large-eddy simulations, Physica D, 100, pp. 390-406, (1997)
[9]  
Erlebacher G., Hussaini M.Y., Speziale C.G., Zang T.A., Toward the large-eddy simulation of compressible turbulent flows, J. Fluid Mech., 238, pp. 155-185, (1992)
[10]  
Foias C., Maniey O.P., Temam R., Modeling on the interaction of small and large eddies in two-dimensional turbulent flows, Math. Mod. and Num. Anal. (M2AN), 22, 1, pp. 93-114, (1988)