Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

A Crank-Nicholson Method for Non-Stationary Stokes Flow
Varnhorn W.
Abstract:
We consider a second order time differencing method of Crank-Nicholson type for the non-stationary linearized Stokes equations and prove optimal convergence uniformly in time if the data are sufficiently regular and satisfy the necessary compatibility conditions at t = 0.
Keywords:
non-stationary Stokes equations, Crank-Nicholson method, compatibility at t = 0

Fulltext: PDF DOI: http://dx.doi.org/10.14311/TPFM.2016.032

In Proceedings Topical Problems of Fluid Mechanics 2016, Prague, 2016 Edited by David Šimurda and Tomáš Bodnár, pp. 237-240 ISBN 978-80-87012-58-1 (Print) ISSN 2336-5781 (Print)