Analytical and numerical investigation of the resolvent for plane Couette flow

• We present new bounds for the solution of the resolvent equation for plane Couette flow. Both analytic methods and computation, using the Chebyshev tau spectral method, are used. The emphasis is on determining the Reynolds number-dependence of the estimates. The main result is the introduction of a weighted norm, which leads to optimal asymptotic behavior of the resolvent for large Reynolds numbers.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering (hsv//eng)

Nyckelord

Computational methods; Estimation; Reynolds number; Shear flow

Resolvent estimate

Convergence of numerical methods

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