Abstract
In this chapter, we shall discuss a problem in fluid dynamics and the application of a fourth order method. We shall concentrate on incompressible flow and the Navier-Stokes equations. This is a quite wide research area by itself, and an abundance of methods have been developed over the years. Many packages for numerical simulation are available, and they are usually based on finite element or finite volume methods. Here we shall describe a 4th order difference method that has been developed recently, and which is designed to be very effective, at least for the case where the computational domain can be transformed to a rectangle via a coordinate transformation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2008). A Problem in Fluid Dynamics. In: High Order Difference Methods for Time Dependent PDE. Springer Series in Computational Mathematics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74993-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-540-74993-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74992-9
Online ISBN: 978-3-540-74993-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)