Fausto Saleri

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The motion of an incompressible fluid confined to a shallow basin with a slightly varying bottom topography is considered. Coriolis force, surface wind and pressure stresses, together with bottom and lateral friction stresses are taken into account. We introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model; after averaging(More)
The numerical investigation of a recent family of algebraic fractional-step methods for the solution of the incompressible time-dependent Navier–Stokes equations is presented. These methods are improved versions of the Yosida method proposed in [A. Quarteroni, F. Saleri, A. Veneziani, Factorization methods for the numerical approximation of Navier–Stokes(More)
We introduce some parallel domain decomposition preconditioners for iterative solution of sparse linear systems like those arising from the approximation of partial differential equations by finite elements or finite volumes. We first give an overview of algebraic domain decomposition techniques. We then introduce a preconditioner based on a multilevel(More)
The numerical investigation of a recent family of algebraic fractional-step methods (the so called Yosida methods) for the solution of the incompressible time-dependent Navier–Stokes equations is presented. A comparison with the Karniadakis–Israeli–Orszag method Karniadakis et al. (1991, J. Comput. Phys. 97, 414–443) is carried out. The high accuracy in(More)
dove α = α(h) = (1 + hL) nel caso puramente Lipschitziano, oppure α = 1 nel caso dissipativo (−L ≤ ∂f/∂y ≤ 0) senza vincoli sul passo per Eulero implicito e con il vincolo h ≤ 2/L per Eulero esplicito. (sugg. (∗): per Eulero esplicito si usi la sequenza ausiliaria un+1 = y(tn) + hf(tn, y(tn)) e la scrittura yn+1−y(tn+1) = yn+1−un+1+un+1−y(tn+1), δn+1(h) =(More)