A compressible finite volume formulation for large eddy simulation of turbulent pipe flows at low Mach number in Cartesian coordinates

Xiaofeng Xu, Joon Sang Lee, Richard H. Pletcher

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38 Citations (Scopus)

Abstract

A finite volume formulation for large eddy simulation (LES) of turbulent pipe flows based on the compressible time-dependent three-dimensional Navier-Stokes equations in Cartesian coordinates with non-Cartesian control volumes is presented. The small scale motions are modeled by a dynamic subgrid-scale (SGS) model. A dual-time stepping approach with time derivative preconditioning is employed to enable the simulations to run efficiently at low Mach numbers. The equations with primitive variables, (p, u, v, w, T), are solved with an implicit lower-upper-symmetric-Gauss-Seidel (LU-SGS) scheme. An isothermal turbulent pipe flow at two Reynolds numbers, and a turbulent pipe flow with a low heat transfer are simulated to evaluate this compressible LES finite volume formulation. The results agree very well with the experimental data and DNS results, verifying the accuracy of the present scheme.

Original languageEnglish
Pages (from-to)22-48
Number of pages27
JournalJournal of Computational Physics
Volume203
Issue number1
DOIs
Publication statusPublished - 2005 Feb 10

Bibliographical note

Funding Information:
The authors are grateful to the Department of Energy for support through grant DE-FG03-995F21924 under the NERI program. The authors would also like to acknowledge many helpful suggestions made by Dr. D. M. McEligot of Idaho National Engineering and Environmental Laboratory. Iowa State High Performance Computing Center and University of Minnesota Supercomputing Institute provided computational resources needed for this research.

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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