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

Research output: Contribution to journalArticle

37 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

Fingerprint

pipe flow
Cartesian coordinates
Pipe flow
Large eddy simulation
large eddy simulation
Mach number
formulations
preconditioning
scale models
dynamic models
Navier-Stokes equation
Navier Stokes equations
Reynolds number
heat transfer
Heat transfer
Derivatives
simulation

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

Cite this

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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.",
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A compressible finite volume formulation for large eddy simulation of turbulent pipe flows at low Mach number in Cartesian coordinates. / Xu, Xiaofeng; Lee, Joon Sang; Pletcher, Richard H.

In: Journal of Computational Physics, Vol. 203, No. 1, 10.02.2005, p. 22-48.

Research output: Contribution to journalArticle

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AB - 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.

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