A local-analytic-based discretization procedure for the numerical solution of incompressible flows
Academic Article
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
abstract
AbstractAn Erratum has been published for this article in International Journal for Numerical Methods in Fluids 2005, 49(8): 933. We present a localanalyticbased discretization procedure for the numerical solution of viscous fluid flows governed by the incompressible NavierStokes equations. The general procedure consists of building local interpolants obtained from local analytic solutions of the linear multidimensional advectiondiffusion equation, prototypical of the linearized momentum equations. In view of the local analytic behaviour, the resulting computational stencil and coefficient values are functions of the local flow conditions. The velocitypressure coupling is achieved by a discrete projection method. Numerical examples in the form of wellestablished verification and validation benchmarks are presented to demonstrate the capabilities of the formulation. The discretization procedure is implemented alongside the ability to treat embedded and nonmatching grids with relative motion. Of interest are flows at high Reynolds number, (105)(107), for which the formulation is found to be robust. Applications include flow past a circular cylinder undergoing vortexinduced vibrations (VIV) at high Reynolds number. Copyright 2005 John Wiley & Sons, Ltd.
