Change search
ReferencesLink to record
Permanent link

Direct link
High order accurate solution of the incompressible Navier-Stokes equations
2005 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 203, no 1, 49-71 p.Article in journal (Refereed) Published
Abstract [en]

High order methods are of great interest in the study of turbulent flows in complex geometries by means of direct simulation. With this goal in mind, the incompressible Navier-Stokes equations are discretized in space by a compact fourth order finite difference method on a staggered grid. The equations are integrated in time by a second order semi-implicit method. Stable boundary conditions are implemented and the grid is allowed to be curvilinear in two space dimensions. The method is extended to three dimensions by a Fourier expansion. In every time step, a system of linear equations is solved for the velocity and the pressure by an outer and an inner iteration with preconditioning. The convergence properties of the iterative method are analyzed. The order of accuracy of the method is demonstrated in numerical experiments. The method is used to compute the flow in a channel, the driven cavity and a constricted channel.

Place, publisher, year, edition, pages
2005. Vol. 203, no 1, 49-71 p.
Keyword [en]
finite difference method, high order, incompressible flow, iterative, solution, curvilinear coordinates, fractional-step method, direct numerical-simulation, finite-difference, schemes, boundary-conditions, projection methods, linear-systems, flow, preconditioners, turbulence, grids
National Category
Natural Sciences
URN: urn:nbn:se:kth:diva-14438DOI: 10.1016/ 000225870400003ScopusID: 2-s2.0-10844272540OAI: diva2:332479

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2016-06-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus
In the same journal
Journal of Computational Physics
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 34 hits
ReferencesLink to record
Permanent link

Direct link