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  • 1
    Electronic Resource
    Electronic Resource
    Accuracy and convergence of element-by-element iterative solvers for incompressible fluid flows using penalty finite element model (1993)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 17 (1993), S. 1019-1033 
    Details
    ISSN: 0271-2091
    Keywords: Convergence behaviour ; Element-by-element data structure ; GMRES ; ORTHOMIN ; Mesh density ; Penalty function model ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The ability of two types of Conjugate Gradient like iterative solvers (GMRES and ORTHOMIN) to resolve large-scale phenomena as a function of mesh density and convergence tolerance limit is investigated. The flow of an incompressible fluid inside a sudden expansion channel is analysed using three meshes of 400, 1600 and 6400 bilinear elements. The iterative solvers utilize the element-by-element data structure of the finite element technique to store and maintain the data at the element level. Both the mesh density and the penalty parameter are found to influence the choice of the convergence tolerance limit needed to obtain accurate results. An empirical relationship between the element size, the penalty parameter, and the convergence tolerance is presented. This relationship can be used to predict the proper choice of the convergence tolerance for a given penalty parameter and element size.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650171202
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Applications of a fiber orientation prediction algorithm for compression molded parts with multiple charges (1994)
    Brookfield, Conn. : Wiley-Blackwell
    Polymer Composites 15 (1994), S. 261-269 
    Details
    ISSN: 0272-8397
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An application of a finite element simulation of mold filling and predication of fiber orientation in fiber filled compression molded parts is presented. Three-dimensional thin-walled geometries are considered. Following a simulation of the filling process, a set of transort equations are solved to predict the locally planar orientation of short fiber composites. The final orientation states throughout the part provide the necessary information to obtain a locally orthotropic mechanical model of the composite. A sheet molding compound part with a multiple charge pattern is used to illustrate the generality of the algorithms developed for compression flow, fiber orientation, and property predications. Derivations of the orthotropic mechanical properties obtained from the fiber orientation results are outlined.
    Additional Material: 13 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pc.750150404
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  • 3
    Electronic Resource
    Electronic Resource
    An investigation of first- and second-order mixed plate-bending elements (1980)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 351-360 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Numerical convergence of first- and second-order plate-bending elements is investigated. Using iso-parametric formulation, general bilinear and biquadratic quadrilaterals, with the three moment components and the transverse deflection as dependent variables, are obtained. The same elements are also used as degenerate triangles by collapsing one side. A constant bending moment patch test, applied numerically to the elements, indicated poor performance for linear triangles, while the bilinear, quadratic and biquadratic elements behaved well, with exact results in uniform meshes. Further numerical examples showed the same general trend as the patch test. Although bilinear, quadratic and biquadratic elements were always able to yield the correct solutions with mesh refinements, the linear triangles were in general unable to do so.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620150305
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  • 4
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    Applications of variational principles in computing rotational flows (1985)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: Ecer and Akay (1983) have developed a variational formulation of rotational flow for Euler equations. The present paper provides a summary of these developments. The considered variational formulation provides a transformation of a type considered by Clebsch (1859). In this transformation, a new set of variables replaces the more commonly used primitive variables u(i), rho and p. Here, u(i) denotes the velocity components, while rho is the density, and p the pressure. The employed transformation produces a natural uncoupling of the equations when written in a quasi-linear form. After obtaining the governing equations in terms of the 'Clebsch variables', a solution scheme developed for calculating steady flows is discussed. Attention is given to numerical solutions of Euler equations based on the derived variational principles, and a study of inviscid, separated flows is conducted.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
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  • 5
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    A finite element formulation for steady transonic Euler equations (1983)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: (Previously cited in issue 06, p. 795, Accession no. A82-17759)
    Keywords: AERODYNAMICS
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  • 6
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    Finite element analysis of transonic flows in cascades: Importance of computational grids in improving accuracy and convergence (1981)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: The finite element method is applied for the solution of transonic potential flows through a cascade of airfoils. Convergence characteristics of the solution scheme are discussed. Accuracy of the numerical solutions is investigated for various flow regions in the transonic flow configuration. The design of an efficient finite element computational grid is discussed for improving accuracy and convergence.
    Keywords: AERODYNAMICS
    Type: NASA-CR-3446
    Format: application/pdf
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  • 7
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    Finite element formulation of transonic flow problems (1982)
    In:  Other Sources
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    Publication Date: 2019-06-28
    Description: Reference is made to the study by Akay and Ecer (1982), which treated the solution of full Euler equations for transonic, rotational, inviscid flows. Attention is given here to some of the important features of a general finite element formulation for transonic flows. Both rotational and irrotational cases are treated. Transonic flow through a parallel channel with a 4.2 percent thick circular bump is analyzed for an upstream Mach number of 0.85. A figure is included showing the computational grid of 44 x 8 elements. In this case, the distance between the walls of the channel is 2.073 times the chord length of the bump. The pressure distributions over the bump for rotational assumptions are presented.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
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  • 8
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    Application of a finite element algorithm to the solution of steady transonic Euler equations (1983)
    In:  Other Sources
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    Publication Date: 2019-06-28
    Description: Previously cited in issue 15, p. 2344, Accession no. A82-31939
    Keywords: AERODYNAMICS
    Type: AIAA Journal (ISSN 0001-1452); 21; 1518-152
    Format: text
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  • 9
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    A finite element formulation of Euler equations for the solution of steady transonic flows (1982)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: The main objective of the considered investigation is related to the development of a relaxation scheme for the analysis of inviscid, rotational, transonic flow problems. To formulate the equations of motion for inviscid flows in a fixed coordinate system, an Eulerian type variational principle is required. The derivation of an Eulerian variational principle which is employed in the finite element formulation is discussed. The presented numerical method describes the mathematical formulation and the application of a numerical process for the direct solution of steady Euler equations. The development of the procedure as an extension of existing potential flow formulations provides the applicability of previous procedures, e.g., proper application of the artificial viscosity for supersonic elements, and the accurate modeling of the shock.
    Keywords: AERODYNAMICS
    Type: AIAA PAPER 82-0062 , Aerospace Sciences Meeting; Jan 11, 1982 - Jan 14, 1982; Orlando, FL
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  • 10
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    Investigation of transonic flow in a cascade using an adaptive mesh (1980)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: The solution of two-dimensional full potential equation for the analysis of steady transonic flow through cascades is investigated. Finite element method is employed in the analysis. Accuracy and efficiency of the obtained numerical solutions are discussed in terms of the employed computational grid. Accurate modeling of subsonic and supersonic flow regions together with the shock is discussed. The choice of artificial viscosity and relaxation factors are examined and related to the design of a computational grid. Shock capturing and shock fitting procedures are compared for improved accuracy and efficiency. Numerical results include cascades of Gostelow and NACA 0012 airfoils.
    Keywords: AERODYNAMICS
    Type: AIAA PAPER 80-1430 , Fluid and Plasma Dynamics Conference; Jul 14, 1980 - Jul 16, 1980; Snowmass, CO
    Format: text
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