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Large Eddy Simulation for Compressible Flows (Paperback, 2009 ed.)
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Large Eddy Simulation for Compressible Flows (Paperback, 2009 ed.)
Series: Scientific Computation
Expected to ship within 10 - 15 working days
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Turbulent ?ows are ubiquitous in most application ?elds, ranging
from - gineering to earth sciences and even life sciences.
Therefore, simulation of turbulent ?ows has become a key tool in
both fundamental and applied - search. The complexity of
Navier-Stokes turbulence, which is illustrated by the fact that the
number of degrees of freedom of turbulence grows faster 11/4
thanO(Re ), where Re denotes the Reynolds number, renders the
Direct Numerical Simulation (DNS) of turbulence inapplicable to
most ?ows of - terest. To alleviate this problem, truncated
solutions in both frequency and wavenumbermaybesought,
whosecomputationalcostismuchlowerandmay ideally be arbitrarily
adjusted. The most suitable approach to obtain such a low-cost
three-dimensional unsteady simulation of a turbulent ?ow is Large-
EddySimulation(LES), whichwaspioneeredtocomputemeteorological?ows
in the late 1950s and the early 1960s. One of the main issues
raised by LES is a closure problem: because of the non-linearity of
the Navier-Stokes equations, the e?ect of unresolved scales must be
taken into account to recover a reliable description of resolved
scales of motion (Chap. 2). This need to close the governing
equations of LES has certainly been the main area of investigation
since the 1960s, and numerous closures,
alsoreferredtoassubgridmodels, havebeenproposed. Mostexisting
subgrid models have been built using simpli?ed viewsof turbulence
dynamics, the main physical phenomenon taken into account being the
direct kinetic - ergycascade from largeto small scales that is
observed in isotropic turbulence and high-Reynolds fully developed
turbulent ?ows. The most popular pa- digm for interscale energy
transfer modeling is subgrid viscosity (C
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