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  • 1
    Electronic Resource
    Electronic Resource
    BENCHMARK SOLUTIONS OF SOME STRUCTURAL ANALYSIS PROBLEMS USING FINITE-VOLUME METHOD AND MULTIGRID ACCELERATION (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 1893-1908 
    Details
    ISSN: 0029-5981
    Keywords: finite-volume stress analysis ; multigrid ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper a set of benchmark test cases for solid-body stress analysis and their solutions are presented. The results are obtained using finite-volume discretization and segregated solution procedure. Sets of progressively finer grids are used in a full multigrid algorithm based on V cycles and a correction scheme, ensuring high computational efficiency. Solutions obtained on systematically refined grids are used to estimate the solution error, which was found to be less than 1 per cent on the finest grids. In addition to graphical presentation of the solutions, tabular data for some characteristic profiles is included to make future comparisons easier. Some details about the convergence properties of the method as well as an outline of the methodology are also presented. It is hoped that the test problems and the solutions presented in this paper will be used in the future for assessing the accuracy and efficiency of new solution methods for solid-body stress analysis. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 2
    Electronic Resource
    Electronic Resource
    A collocated finite volume method for predicting flows at all speeds (1993)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 16 (1993), S. 1029-1050 
    Details
    ISSN: 0271-2091
    Keywords: Finite volume ; Compressible flow ; Subsonic flow ; Transonic flow ; Supersonic flow ; 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: An existing two-dimensional method for the prediction of steady-state incompressible flows in complex geometry is extended to treat also compressible flows at all speeds. The primary variables are the Cartesian velocity components, pressure and temperature. Density is linked to pressure via an equation of state. The influence of pressure on density in the case of compressible flows is implicitly incorporated into the extended SIMPLE algorithm, which in the limit of incompressible flow reduces to its well-known form. Special attention is paid to the numerical treatment of boundary conditions. The method is verified on a number of test cases (inviscid and viscous flows), and both the results and convergence properties compare favourably with other numerical results available in the literature.
    Additional Material: 13 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650161202
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    Paper (German National Licenses)
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