Naslov
High-order approximations for an incompressible viscous flow on a rough boundary

Autori
Marušić-Paloka, Eduard ; Starčević, Maja

Izvornik
Applicable analysis (0003-6811) 94 (2015), 7; 1305-1333

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Stokes equations ; boundary layers ; rough boundary ; high-order approximations ; error estimates

Sažetak
In this paper, we propose approximations of fluid flow that could be used for obtaining wall laws of higher order. We consider the two-dimensional laminar fluid flow, modeled by the incompressible Stokes system in a straight channel with a rough side. The roughness is periodic and the ratio of the amplitude of the rough part and the size of the flow domain is denoted by \epsilon, being a small number. We impose periodic boundary conditions on the flow. We generalize the boundary layers needed for the construction of flow approximations of higher order with respect to \epsilon. The existence of the layers and their features are discussed. Finally we give the error estimates for the approximations and establish an explicit wall law.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA