Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
Publication
, Journal Article
Bazilevs, Y; Calo, VM; Cottrell, JA; Hughes, TJR; Reali, A; Scovazzi, G
Published in: Computer Methods in Applied Mechanics and Engineering
December 1, 2007
We present an LES-type variational multiscale theory of turbulence. Our approach derives completely from the incompressible Navier-Stokes equations and does not employ any ad hoc devices, such as eddy viscosities. We tested the formulation on forced homogeneous isotropic turbulence and turbulent channel flows. In the calculations, we employed linear, quadratic and cubic NURBS. A dispersion analysis of simple model problems revealed NURBS elements to be superior to classical finite elements in approximating advective and diffusive processes, which play a significant role in turbulence computations. The numerical results are very good and confirm the viability of the theoretical framework. © 2007 Elsevier B.V. All rights reserved.
Duke Scholars
Published In
Computer Methods in Applied Mechanics and Engineering
DOI
ISSN
0045-7825
Publication Date
December 1, 2007
Volume
197
Issue
1-4
Start / End Page
173 / 201
Related Subject Headings
- Applied Mathematics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Bazilevs, Y., Calo, V. M., Cottrell, J. A., Hughes, T. J. R., Reali, A., & Scovazzi, G. (2007). Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Computer Methods in Applied Mechanics and Engineering, 197(1–4), 173–201. https://doi.org/10.1016/j.cma.2007.07.016
Bazilevs, Y., V. M. Calo, J. A. Cottrell, T. J. R. Hughes, A. Reali, and G. Scovazzi. “Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.” Computer Methods in Applied Mechanics and Engineering 197, no. 1–4 (December 1, 2007): 173–201. https://doi.org/10.1016/j.cma.2007.07.016.
Bazilevs Y, Calo VM, Cottrell JA, Hughes TJR, Reali A, Scovazzi G. Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Computer Methods in Applied Mechanics and Engineering. 2007 Dec 1;197(1–4):173–201.
Bazilevs, Y., et al. “Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.” Computer Methods in Applied Mechanics and Engineering, vol. 197, no. 1–4, Dec. 2007, pp. 173–201. Scopus, doi:10.1016/j.cma.2007.07.016.
Bazilevs Y, Calo VM, Cottrell JA, Hughes TJR, Reali A, Scovazzi G. Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Computer Methods in Applied Mechanics and Engineering. 2007 Dec 1;197(1–4):173–201.
Published In
Computer Methods in Applied Mechanics and Engineering
DOI
ISSN
0045-7825
Publication Date
December 1, 2007
Volume
197
Issue
1-4
Start / End Page
173 / 201
Related Subject Headings
- Applied Mathematics
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 01 Mathematical Sciences