NDLI: Time-accurate navier-stokes calculations with multigrid acceleration

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Time-accurate navier-stokes calculations with multigrid acceleration

Content Provider	NASA Technical Reports Server (NTRS)
Author	Sanetrik, Mark D. Atkins, Harold L. Melson, N. Duane
Copyright Year	1993
Description	A numerical scheme to solve the unsteady Navier-Stokes equations is described. The scheme is implemented by modifying the multigrid-multiblock version of the steady Navier-Stokes equations solver, TLNS3D. The scheme is fully implicit in time and uses TLNS3D to iteratively invert the equations at each physical time step. The design objective of the scheme is unconditional stability (at least for first- and second-order discretizations of the physical time derivatives). With unconditional stability, the choice of the time step is based on the physical phenomena to be resolved rather than limited by numerical stability which is especially important for high Reynolds number viscous flows, where the spatial variation of grid cell size can be as much as six orders of magnitude. An analysis of the iterative procedure and the implementation of this procedure in TLNS3D are discussed. Numerical results are presented to show both the capabilities of the scheme and its speed up relative to the use of global minimum time stepping. Reductions in computational times of an order of magnitude are demonstrated.
File Size	815317
Page Count	16
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19940016996
Archival Resource Key	ark:/13960/t1jh8gc4w
Language	English
Publisher Date	1993-11-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Flow Stability High Reynolds Number Navier-stokes Equation Time Dependence Turbulent Flow Multigrid Methods Computational Fluid Dynamics Runge-kutta Method Iteration Numerical Stability Viscous Flow Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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