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  • 11
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    A simplified model for the viscous crossflow in a slotted test section (1979)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: A simplified physical model was constructed which simulates the viscous crossflow in a fluid layer near the slots at a fixed streamwise location in a slotted wind tunnel. For low to moderate Reynolds numbers, numerical solutions of the two dimensional, incompressible Navier-Stokes equations in stream function and vorticity, which govern the model flow, were obtained. Fairly general slot geometry was incorporated by means of the Thompson-Thames-Mastin transformation. An approximate factorization scheme with cyclic acceleration parameters was employed to solve a finite difference analog of the stream function equation. The vorticity equation was numerically solved with a modified version of the classical alternating direction implicit scheme. Although no quantitative assessment of solution accuracy can be made, numerical results for variations in incremental wall pressure around the slat are at least qualitatively similar to some experimental results.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-CR-3206
    Format: application/pdf
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  • 12
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    On stiffly stable implicit linear multistep methods. (1972)
    In:  Other Sources
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    Publication Date: 2019-06-27
    Description: The motivation to increase the step size with no degradation of numerical accuracy and stability has led to the discovery of particular members of the class of stiffly stable implicit linear multistep algorithms. Sufficient conditions for a consistent linear multistep method to be stiffly stable are given. These conditions involve properties of the stability mapping from the extended complex plane onto itself.
    Keywords: MATHEMATICS
    Type: SIAM Journal on Numerical Analysis; 9; Mar. 197
    Format: text
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  • 13
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    A block iterative finite element algorithm for numerical solution of the steady-state, compressible Navier-Stokes equations (1976)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: An iterative method for numerically solving the time independent Navier-Stokes equations for viscous compressible flows is presented. The method is based upon partial application of the Gauss-Seidel principle in block form to the systems of nonlinear algebraic equations which arise in construction of finite element (Galerkin) models approximating solutions of fluid dynamic problems. The C deg-cubic element on triangles is employed for function approximation. Computational results for a free shear flow at Re = 1,000 indicate significant achievement of economy in iterative convergence rate over finite element and finite difference models which employ the customary time dependent equations and asymptotic time marching procedure to steady solution. Numerical results are in excellent agreement with those obtained for the same test problem employing time marching finite element and finite difference solution techniques.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-CR-148276
    Format: application/pdf
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  • 14
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    STICAP: A linear circuit analysis program with stiff systems capability. Volume 3: Systems (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: For abstract, see N76-13798.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-144891
    Format: application/pdf
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  • 15
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    STICAP: A linear circuit analysis program with stiff systems capability. Volume 1: Theory manual (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: STICAP (Stiff Circuit Analysis Program) is a FORTRAN 4 computer program written for the CDC-6400-6600 computer series and SCOPE 3.0 operating system. It provides the circuit analyst a tool for automatically computing the transient responses and frequency responses of large linear time invariant networks, both stiff and nonstiff (algorithms and numerical integration techniques are described). The circuit description and user's program input language is engineer-oriented, making simple the task of using the program. Engineering theories underlying STICAP are examined. A user's manual is included which explains user interaction with the program and gives results of typical circuit design applications. Also, the program structure from a systems programmer's viewpoint is depicted and flow charts and other software documentation are given.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-144889
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  • 16
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    STICAP: A linear circuit analysis program with stiff systems capability. Volume 2: User's manual (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: For abstract, see N76-13798.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-144890
    Format: application/pdf
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  • 17
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    Finite element computation of a viscous compressible free shear flow governed by the time dependent Navier-Stokes equations (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: A finite element algorithm for solution of fluid flow problems characterized by the two-dimensional compressible Navier-Stokes equations was developed. The program is intended for viscous compressible high speed flow; hence, primitive variables are utilized. The physical solution was approximated by trial functions which at a fixed time are piecewise cubic on triangular elements. The Galerkin technique was employed to determine the finite-element model equations. A leapfrog time integration is used for marching asymptotically from initial to steady state, with iterated integrals evaluated by numerical quadratures. The nonsymmetric linear systems of equations governing time transition from step-to-step are solved using a rather economical block iterative triangular decomposition scheme. The concept was applied to the numerical computation of a free shear flow. Numerical results of the finite-element method are in excellent agreement with those obtained from a finite difference solution of the same problem.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-TM-X-72894
    Format: application/pdf
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  • 18
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    A two dimensional model of viscous slot flow (1979)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: The effects of viscosity on flows through slots are investigated. Using Briley's formulation of the Alternating Direction Implicit method together with the Thompson transformation, numerical solution of viscous incompressible flow through a slot is simulated, for Reynolds number 1000 and openness ratio one tenth. The problem is formulated in terms of stream function and vorticity. A wall iteration of Israeli type is employed to iteratively induce the no slip condition on velocity.
    Keywords: AERODYNAMICS
    Type: Advances in computer methods for partial differential equations - III; Jun 20, 1979 - Jun 22, 1979; Bethlehem, PA
    Format: text
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  • 19
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    A shock capturing application of the finite element method (1979)
    In:  Other Sources
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    Publication Date: 2019-06-27
    Description: The paper is concerned with the development of finite element algorithms for the solution of viscous compressible flow problems with possible embedded shocks and recirculation regions. As a first step, the calculation in Cartesian coordinates of uniform flow on a rectangular region which encounters an embedded oblique shock with known turning angle is considered. A code is developed which is then used for computation of the boattail plume simulator problem in cylindrical coordinates. Oblique shock calculations are performed and the results are compared with a known finite difference solution.
    Keywords: AERODYNAMICS
    Type: International Journal for Numerical Methods in Engineering; 14; 2, 19; 1979
    Format: text
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  • 20
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    A block iterative LU solver for weakly coupled linear systems (1977)
    In:  Other Sources
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    Publication Date: 2019-06-27
    Description: A hybrid technique, called the block iterative LU solver, is proposed for solving the linear equations resulting from a finite element numerical analysis of certain fluid dynamics problems where the equations are weakly coupled between distinct sets of variables. Either the block Jacobi iterative method or the block Gauss-Seidel iterative solver is combined with LU decomposition.
    Keywords: NUMERICAL ANALYSIS
    Type: International Journal for Numerical Methods in Engineering; 11; 5, 19; 1977
    Format: text
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