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  • 1990-1994  (4)
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  • 1
    Publication Date: 2011-08-24
    Description: An efficient method for calculating unsteady flows is presented, with emphasis on a modified version of the thin-layer Navier-Stokes equations. Fourier stability analysis is used to illustrate the effect of treating the source term implicitly instead of explicity, as well as to illustrate other algorithmic choices. A 2D circular cylinder (with a Reynolds number of 1200 and a Mach number of 0.3) is calculated. The present scheme requires only about 10 percent of the computer time required by global minimum time stepping.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: In: AIAA Computational Fluid Dynamics Conference, 11th, Orlando, FL, July 6-9, 1993, Technical Papers. Pt. 2 (A93-44994 18-34); p. 1041, 1042.
    Format: text
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  • 2
    Publication Date: 2013-08-31
    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.
    Keywords: NUMERICAL ANALYSIS
    Type: The Sixth Copper Mountain Conference on Multigrid Methods, Part 2; p 423-437
    Format: application/pdf
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  • 3
    Publication Date: 2019-07-13
    Description: A block-structured grid formulation is presented and discussed. The compressible Euler equations are solved on the decomposed domain with a multigrid method based on Runge-Kutta time stepping and centered spatial differencing. The flexibility of the multiblock approach is demonstrated by computing low speed inviscid flow over two different multielement airfoil configurations.
    Keywords: AERODYNAMICS
    Type: SIAM, Conference on Domain Decomposition Methods for Partial Differential Equations; May 06, 1991 - May 08, 1991; Norfolk, VA; United States|; 9 p.
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  • 4
    Publication Date: 2019-07-13
    Description: A multigrid-based numerical scheme for solving the Navier-Stokes and Euler equations on block-structured grids is presented for flows over complex aircraft configurations. Self-consistency checks are conducted to ascertain that the multiblock code reproduces previously known solutions from single-block codes by splitting a single-block grid into multiple blocks. The newly-developed multiblock code maintains multigrid performance of an equivalent single-block code.
    Keywords: AERODYNAMICS
    Type: AIAA PAPER 93-0677 , ; 13 p.|AIAA, Aerospace Sciences Meeting and Exhibit; Jan 11, 1993 - Jan 14, 1993; Reno, NV; United States
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