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  • inverse-power interpolation  (1)
  • iterative solvers  (1)
  • 1
    Digitale Medien
    Digitale Medien
    AN AUTOMATIC TETRAHEDRAL MESH GENERATION SCHEME BY THE ADVANCING FRONT METHOD (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 33-46 
    Details
    ISSN: 1069-8299
    Schlagwort(e): advancing front ; tetrahedrization ; inverse-power interpolation ; triangular Bezier patches ; Engineering ; Numerical Methods and Modeling
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: The paper deals with the discretization of any given multi-connected volume into a set of tetrahedral elements. A simple but robust tetrahedrization scheme based on a two-stage advancing front technique is presented. The method evolves from the triangulated domain bounding surfaces for which geometry representations are derived from triangular Bezier patches. Tetrahedral elements are then generated which fill the domain volume based on the set of distributed interior nodes. A new and efficient procedure is introduced for the distribution of the mesh interior nodes which uses an inverse-power interpolation technique. The proposed scheme is robust in that it is capable of tetrahedrizing a given arbitrary domain of any degree of irregularity, and allows the distribution of its interior nodes to be specified by the user. Results are presented typical of those which might be encountered in hydrodynamics modelling involving flows with a free surface. © 1997 John Wiley & Sons, Ltd.
    Zusätzliches Material: 12 Ill.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
  • 2
    Digitale Medien
    Digitale Medien
    MODELLING OF WAVE PROPAGATION IN THE NEARSHORE REGION USING THE MILD SLOPE EQUATION WITH GMRES-BASED ITERATIVE SOLVERS (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 23 (1996), S. 397-411 
    Details
    ISSN: 0271-2091
    Schlagwort(e): GMRES ; mild slope equation ; iterative solvers ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Maschinenbau
    Notizen: The mild slope equation in its linear and non-linear forms is used for the modelling of nearshore wave propagation. The finite difference method is used to descretize the governing elliptic equations and the resulting system of equations is solved using GMRES-based iterative method. The original GMRES solution technique of Saad and Schultz is not directly applicable to the present case owing to the complex coefficient matrix. The simpler GMRES algorithm of Walker and Zhou is used as the core solver, making the upper Hessenberg factorization unneccessary when solving the least squares problem. Several preconditioning-based acceleration strategies are tested and the results show that the GMRES-based iteration scheme performs very well and leads to monotonic convergence for all the test-cases considered.
    Zusätzliches Material: 10 Ill.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Artikel (Nationallizenzen)
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