Oseen resolvent estimates with small resolvent parameter
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DOI: 10.1016/j.jde.2018.02.033
Abstract: Abstract We consider the Oseen system with resolvent term in an exterior domain in R 3 , supplemented by homogeneous Dirichlet boundary conditions. Under the assumption that the resolvent parameter λ is close to zero… read more here.
Keywords: oseen resolvent; estimates small; resolvent parameter; resolvent estimates ... See more keywords
Reconsideration of spanwise rotating turbulent channel flows via resolvent analysis
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.894
Abstract: We study the effect of spanwise rotation in turbulent channel flow at both low and high Reynolds numbers by employing the resolvent formulation proposed by McKeon & Sharma (J. Fluid Mech., vol. 658, 2010, pp.… read more here.
Keywords: turbulent channel; analysis; rotation; across spectral ... See more keywords
On the shape of resolvent modes in wall-bounded turbulence
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2019.594
Abstract: This work develops a methodology for approximating the shape of leading resolvent modes for incompressible, quasi-parallel, shear-driven turbulent flows using prescribed analytic functions. We demonstrate that these functions, which arise from the consideration of wavepacket… read more here.
Keywords: leading resolvent; resolvent modes; shape; wall ... See more keywords
Efficient computation of global resolvent modes
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DOI: 10.1017/jfm.2021.364
Abstract: Abstract Resolvent analysis of the linearized Navier–Stokes equations provides useful insight into the dynamics of transitional and turbulent flows and can provide a model for the dominant coherent structures within the flow, particularly for flows… read more here.
Keywords: resolvent modes; global resolvent; analysis; computation global ... See more keywords
Use of eddy viscosity in resolvent analysis of turbulent channel flow
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DOI: 10.1103/physrevfluids.8.064601
Abstract: The predictions of resolvent analysis for turbulent channel flow are evaluated for a friction Reynolds number of Retau = 550. In addition to the standard resolvent operator with kinematic viscosity, a resolvent operator augmented with… read more here.
Keywords: eddy viscosity; wave speed; wall; viscosity ... See more keywords
Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
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DOI: 10.3390/math7020131
Abstract: The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators. First, we discuss several… read more here.
Keywords: iterative methods; computing resolvent; resolvent; operator ... See more keywords