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  • Computational Chemistry and Molecular Modeling  (1)
  • advancing front  (1)
  • Wiley-Blackwell  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 33-46 
    ISSN: 1069-8299
    Keywords: advancing front ; tetrahedrization ; inverse-power interpolation ; triangular Bezier patches ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: 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.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 26 (1984), S. 105-120 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We present a method for the computation of cohesive and structural properties of solids. The method is based on a local orbital description of the wave functions, an ab initio pseudopotential construction for the ion-core potential, and a local density treatment of exchange and correlation energies. Key elements of the method include the direct computation in real space of all the matrix elements, a noniterative evaluation of the total energy, and the transferability of the total electronic potential. The combination of these elements allows an accurate, yet less complex, treatment of a wide variety of systems. We shall illustrate the method by considering several prototypical systems: the diamond crystal, the diamond (111) surface, the silicon crystal, and the molybdenum crystal. With respect to the bulk crystalline properties, i.e., the cohesive energy, the lattice constant, the bulk modulus, etc., we obtain state of the art agreement with experiment. With respect to the diamond surface, we have considered several models for the reconstructed 2 × 1 surface. Of the models considered, we find only the undimerized π-bonded chain reconstruction has a total energy lower than the relaxed 1 × 1 surface.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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