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Finite Difference Methods for Incompressible and Compressible Turbulence

  • Sergio PirozzoliEmail author
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Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 592)

Abstract

We provide a brief overview of the state of the art in numerical methods for direct numerical simulation of turbulent flows, with special reference to wall-bounded flows. Fundamentals of numerical discretization of the incompressible and compressible Navier–Stokes equations will be given in section “Numerical Methods”, which also includes practical implementation details, such as choice of the computational mesh, and suggestions for implementation on parallel computers. Selected applications of DNS will be the subject of the section “Selected DNS Applications” where the focus will be on recent results obtained for flows at high Reynolds number and on ‘non-classical’ effects associated with the formation of large rollers (Couette flow), and with compressibility effects. The behavior of passive scalars advected by the fluid phase is also discussed.

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© CISM International Centre for Mechanical Sciences 2019

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace Engineering‘Sapienza’ University of RomeRomeItaly

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