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
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.
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
IdentifiersURN: urn:nbn:se:kth:diva-14438DOI: 10.1016/j.jcp.2004.08.019ISI: 000225870400003ScopusID: 2-s2.0-10844272540OAI: oai:DiVA.org:kth-14438DiVA: diva2:332479
QC 201005252010-08-052010-08-052016-06-08Bibliographically approved