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  • 1985-1989
  • 1975-1979  (3)
  • 1979  (3)
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  • 1985-1989
  • 1975-1979  (3)
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  • 1
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    Direct control of the grid point distribution in meshes generated by elliptic equations (1979)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: The generation of computational grids suitable for obtaining accurate numerical solutions to the three-dimensional Navier-Stokes equations is the subject of intensive research. For a wide class of nozzle configurations, a three-dimensional grid can be constructed by a sequence of two-dimensional grids in successive cross-sectional planes. The present paper is concerned with numerical generation of two-dimensional grids. An effective method of interior grid control is presented based on a modified elliptic system containing free parameters. For a simply connected region, the free parameters are computed from the Dirichlet boundary values. The resulting interior grid point distribution is controlled entirely by a priori selection of the grid point distribution along the boundaries of the section.
    Keywords: AERODYNAMICS
    Type: AIAA PAPER 79-1462 , In: Computational Fluid Dynamics Conference; Jul 23, 1979 - Jul 25, 1979; Williamsburg, VA
    Format: text
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    NASA TECHNICAL REPORTS
  • 2
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    Boundary conditions for implicit solutions to the compressible Navier-Stokes equations in finite computational domains (1979)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: The admissible boundary conditions for the unsteady Navier-Stokes equations are insufficient to determine completely the flow variables at grid points on the boundaries of a finite computational domain. A general method is presented in which the boundary conditions are supplemented by conservatively differenced forms of the flow equations. For implicit algorithms, the method provides a fully implicit coupling between boundary and interior points. Implicit boundary-point computation schemes are given for most types of flow boundary encountered in internal and external flow problems. Convergence to steady state is generally faster than with locally explicit boundary-point schemes.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AIAA PAPER 79-1447 , In: Computational Fluid Dynamics Conference; Jul 23, 1979 - Jul 25, 1979; Williamsburg, VA
    Format: text
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    NASA TECHNICAL REPORTS
  • 3
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    Numerical method for predicting flow characteristics and performance of nonaxisymmetric nozzles, theory (1979)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: The theoretical foundation and formulation of a numerical method for predicting the viscous flowfield in and about isolated three dimensional nozzles of geometrically complex configuration are presented. High Reynolds number turbulent flows are of primary interest for any combination of subsonic, transonic, and supersonic flow conditions inside or outside the nozzle. An alternating-direction implicit (ADI) numerical technique is employed to integrate the unsteady Navier-Stokes equations until an asymptotic steady-state solution is reached. Boundary conditions are computed with an implicit technique compatible with the ADI technique employed at interior points of the flow region. The equations are formulated and solved in a boundary-conforming curvilinear coordinate system. The curvilinear coordinate system and computational grid is generated numerically as the solution to an elliptic boundary value problem. A method is developed that automatically adjusts the elliptic system so that the interior grid spacing is controlled directly by the a priori selection of the grid spacing on the boundaries of the flow region.
    Keywords: AERODYNAMICS
    Type: NASA-CR-3147 , LMSC-D633457
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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