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  • 1
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    Computation of transonic viscous-inviscid interacting flow (1983)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: Transonic viscous-inviscid interaction is considered using the Euler and inverse compressible turbulent boundary-layer equations. Certain improvements in the inverse boundary-layer method are mentioned, along with experiences in using various Runge-Kutta schemes to solve the Euler equations. Numerical conditions imposed on the Euler equations at a surface for viscous-inviscid interaction using the method of equivalent sources are developed, and numerical solutions are presented and compared with experimental data to illustrate essential points. Previously announced in STAR N83-17829
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
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  • 2
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    Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes (1981)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: A new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains. The method has been used to determine the steady transonic flow past an airfoil using an O mesh. Convergence to a steady state is accelerated by the use of a variable time step determined by the local Courant member, and the introduction of a forcing term proportional to the difference between the local total enthalpy and its free stream value.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AIAA PAPER 81-1259
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  • 3
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    Multigrid solution of the Navier-Stokes equations on triangular meshes (1989)
    In:  Other Sources
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    Publication Date: 2019-06-28
    Description: A new Navier-Stokes algorithm for use on unstructured triangular meshes is presented. Spatial discretization of the governing equations is achieved using a finite-element Galerkin approximation, which can be shown to be equivalent to a finite-volume approximation for regular equilateral triangular meshes. Integration to steady-state is performed using a multistage time-stepping scheme, and convergence is accelerated by means of implicit residual smoothing and an unstructured multigrid algorithm. The convergence efficiency of the present method is shown to be competitive with those demonstrated by structured quadrilateral-mesh algorithms.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: AIAA PAPER 89-0120
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  • 4
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    Computation of transonic viscous-inviscid interacting flow (1982)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Transonic viscous-inviscid interaction is considered using the Euler and inverse compressible turbulent boundary-layer equations. Certain improvements in the inverse boundary-layer method are mentioned, along with experiences in using various Runge-Kutta schemes to solve the Euler equations. Numerical conditions imposed on the Euler equations at a surface for viscous-inviscid interaction using the method of equivalent sources are developed, and numerical solutions are presented and compared with experimental data to illustrate essential points.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-TM-85203 , NAS 1.15:85203
    Format: application/pdf
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  • 5
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    Accelerated iteration schemes for transonic flow calculations using fast poisson solvers (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: The use of a fast elliptic solver in combination with relaxation is presented as an effective way to accelerate the convergence of transonic flow calculations, particularly when a marching scheme can be used to treat the supersonic zone in the relaxation process.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-CR-143431 , COO-3077-82
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  • 6
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    A nonoscillatory shock capturing scheme using flux limited dissipation (1985)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: A method for modifying the third order dissipative terms by the introduction of flux limiters is proposed. The first order dissipative terms can then be eliminated entirely, and in the case of a scalar conservation law the scheme is converted into a total variation diminishing scheme provided that an appropriate value is chosen for the dissipative coefficient. Particular attention is given to: (1) the treatment of the scalar conservation law; (2) the treatment of the Euler equations for inviscid compressible flow; (3) the boundary conditions; and (4) multistage time stepping and multigrid schemes. Numerical results for transonic flows suggest that a central difference scheme augmented by flux limited dissipative terms can lead to an effective nonoscillatory shock capturing method.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Large-scale computations in fluid mechanics; Jun 27, 1983 - Jul 08, 1983; La Jolla, CA
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