
This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition(POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures. An approximate deconvolution(AD) approach is used to solve the ROM closure problem and develop a new AD-ROM. This AD-ROM is tested in the numerical simulation of the one-dimensional Burgers equation with a small diffusion coefficient(10^{-3})
31pages
Navier-Stokes equations for incompressible viscous fluids, Direct numerical and large eddy simulation of turbulence, large eddy simulation, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, spatial filter, approximate deconvolution, physics.flu-dyn, proper orthogonal decomposition, reduced order model
Navier-Stokes equations for incompressible viscous fluids, Direct numerical and large eddy simulation of turbulence, large eddy simulation, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, spatial filter, approximate deconvolution, physics.flu-dyn, proper orthogonal decomposition, reduced order model
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