Many shear flows exhibit laminar to turbulent transitions at subcritical Reynolds numbers. In this context, the computation of perturbations that largest possible transient growth is central interest as it often sheds light on actual bypass transition route. work, we consider effect a spanwise magnetic field in boundary layer flow liquid metal over an electrically insulating flat plate. We comp...

We prove an algebraicity result for the central critical value of certain RankinSelberg L-functions for GLn×GLn−1. This is a generalization and refinement of the results of Harder [15], Kazhdan, Mazur and Schmidt [23], Mahnkopf [29], and Kasten and Schmidt [22]. As an application of this result, we prove algebraicity results for certain critical values of the fifth and the seventh symmetric pow...

The problem of finding the flow over a finite flat plate aligned with a uniform free stream is revisited. Multigrid is used to obtain accurate numerical solutions up to a Reynolds number of 4000. Fourier boundary conditions keep the computational domain small, with no loss of accuracy. Near the trailing edge, excellent agreement with first-order triple-deck theory is found. However, previous co...

This paper proposes a method to determine the flutter derivatives of 2-dimensional streamlined cylinders by means of a modified indicial approach adapted to a Navier-Stokes solver using an Arbitrary Lagrangian Eulerian formulation. The method relies on heave or pitch motion imposed to the section according to smoothed ramp time histories and on the computational evaluation of the transient forc...