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  • 1
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    Simulation of large turbulent vortex structures with the parabolic Navier-Stokes equations (1982)
    In:  Other Sources
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    Publication Date: 2011-08-18
    Description: The theoretical basis for well posed marching of a Parabolic Navier-Stokes (PNS) computational technique for supersonic flow is discussed and examples given to verify the analysis. It is demonstrated that stable computations can be made even with very small steps in the marching direction. The method is applied to cones at large angle of attack in high Reynolds number, supersonic flow. Streamline trajectories generated from the numerical solutions demonstrate the development of vortex structures of the lee side of the cone. Previously announced in STAR as N83-22551
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
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  • 2
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    Solution of viscous internal flows on curvilinear grids generated by the Schwarz-Christoffel transformation (1982)
    In:  Other Sources
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    Publication Date: 2019-07-13
    Description: The combination of an orthogonal, curvilinear coordinate generation procedure with a stable forward marching viscous flow solution technique is presently employed in the solution of flow fields for arbitrary, axisymmetric ducts. Coordinate generation is accomplished by means of both potential lines and plane potential flow streamlines. Since the coordinate streamlines approximate actual ones, the equations of motion for viscous compressible flow can be parabolized in order to solve for both the boundary layer and the core flow in a single streamwise pass. The method's versatility is demonstrated by two examples of viscous compressible swirling flow through complex radial gas turbine passages.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Numerical grid generation; Symposium on Numerical Generation of Curvilinear Coordinate Systems and Their Use in the Numerical Solution of Partial Differential Equations; Apr 13, 1982 - Apr 16, 1982; Nashville, TN
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  • 3
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    Simulation of large turbulent structures with the parabolic Navier-Stokes equations (1982)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: The theoretical basis for well posed marching of a Parabolic Navier-Stokes (PNS) computational technique for supersonic flow is discussed and examples given to verify the analysis. It is demonstrated that stable computations can be made even with very small steps in the marching direction. The method is applied to cones at large angle of attack in high Reynolds number, supersonic flow. Streamline trajectories generated from the numerical solutions demonstrate the development of vortex structures on the lee side of the cone.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-TM-84262 , A-8958 , NAS 1.15:84262 , Intern. Conf. on Numerical Methods in Fluid Dyn.; Jun 28, 1982 - Jul 01, 1982; Aachen; Germany
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  • 4
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    Numerical and approximate solution of the high Reynolds number small separation problem (1976)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: Several possible methods of solving the small separation problem at high Reynolds number are investigated. In addition to using analytical methods, there are several numerical approaches which are used. High Reynolds number laminar two dimensional problems are used for simplicity. A brief discussion is given of the finite difference methods since these methods are discussed in detail. Most of the emphasis is placed on developing an approximate integral method. As a model problem the supersonic compression ramp problem is chosen since several numerical solutions along with experimental data are available. The techniques discussed are modified and applied to other similar type wall geometries.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA. Langley Res. Center Advan. in Eng. Sci., Vol. 4; p 1451-1465
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  • 5
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    Improved method for solving the viscous shock layer equations (1992)
    In:  Other Sources
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    Publication Date: 2019-07-12
    Description: An improved method for solving the viscous shock layer equations for supersonic/hypersonic flows past blunt-nosed bodies is presented. The method is capable of handling slender to thick bodies. The solution is obtained by solving a coupled set of five equations, built of the four basic viscous shock layer equations and an additional equation for the standoff distance. The coupling of the equations prevents the local iterations divergence problems encountered by previous methods of solution far downstream on slender bodies. It also eliminates the need for local iterations, which were required by previous methods of solution, for a first-order scheme in the streamwise direction. A new global iteration procedure is employed to impose the shock boundary conditions. The procedure prevents the global iteration instability encountered by the basic method of solution and improves the convergence rate of the global iteration procedure of later methods devised to overcome this difficulty. The new technique reduces the computation time by 65-95 percent as compared to previous methods of solution. The method can efficiently be implemented in vector/parallel computers.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AIAA Journal (ISSN 0001-1452); 30; 7 Ju
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  • 6
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    The calculation of supersonic viscous flows using the parabolized Navier-Stokes equations (1986)
    In:  Other Sources
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    Publication Date: 2019-07-12
    Description: Solution of the parabolic Navier-Stokes (PNS) equations for supersonic flows is discussed, and compatibility of the PNS method with the triple-deck theory of Stewartson (1974) is demonstrated. Characteristic and stability analyses show that use of an appropriate filter on the pressure term in the x-momentum equation can suppress the departure solutions, giving the usual desired weak interaction solution. An Alternating Direction Explicit procedure, with minimal computer storage requirements compared to the full Navier-Stokes solvers, is proposed to calculate strongly interacting flows using a global iteration procedure for the PNS equations. The PNS equations are used to solve the hypersonic viscous interaction problem, and good agreement is found with experimental results.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Computers and Fluids (ISSN 0045-7930); 14; 3 19
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