By L. Quartapelle (auth.)
This ebook offers various formulations of the equations governing incompressible viscous flows, within the shape wanted for constructing numerical answer approaches. The stipulations required to fulfill the no-slip boundary stipulations within the numerous formulations are mentioned intimately. instead of focussing on a selected spatial discretization approach, the textual content offers a unitary view of a number of tools at the moment in use for the numerical resolution of incompressible Navier-Stokes equations, utilizing both finite alterations, finite parts or spectral approximations. for every formula, an entire assertion of the mathematical challenge is equipped, comprising many of the boundary, in all probability fundamental, and preliminary stipulations, compatible for any theoretical and/or computational improvement of the governing equations. The textual content is acceptable for classes in fluid mechanics and computational fluid dynamics. It covers that a part of the subject material facing the equations for incompressible viscous flows and their selection via numerical equipment. a considerable part of the booklet comprises new effects and unpublished material.