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  • 1
    Electronic Resource
    Electronic Resource
    Finite element simulation of nonlinear viscous fingering in miscible displacements with anisotropic dispersion and nonmonotonic viscosity profiles (1999)
    Springer
    Computational mechanics 23 (1999), S. 108-116 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In this work parallel finite element techniques for the simulation of nonlinear viscous fingering in miscible displacements are addressed. The governing equations are approximated in space by equal order elements. The resulting semi-discrete equations are approximated in time by a block-iterative predictor-multicorrector algorithm. Feedback control theory is used for time step selection. The linear systems of equations at each block-iteration are solved with parallel element-by-element iterative techniques. Numerical simulations in different physical situations, involving anisotropic dispersion and a nonmonotonic viscosity law are shown.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050390
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  • 2
    Electronic Resource
    Electronic Resource
    Pseudoconsistent load vector and mass matrix for the discrete Kirchhoff triangle and the discrete shear triangle elements (1995)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 11 (1995), S. 317-330 
    Details
    ISSN: 1069-8299
    Keywords: DKT and DST elements ; pseudo consistent load vector ; pseudo consistent mass matrix ; plate bending elements ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Many finite elements based on Reissner-Mindlin plate bending theory with discrete constraints have been developed in the past few years. This approach avoids the C1 continuity required by the classical Kirchhoff plate theory. However, in those elements the shape functions for deflections (or their derivatives) are not integrated. Particularly in DKT (discrete Kirchhoff triangle) and in DST (discrete shear triangle) elements, the lateral deflections are defined only on the boundaries. In the paper we briefly discuss the definition of the transverse displacement for these elements, and present a simple approach to define a pseudoconsistent load vector and mass matrix.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640110405
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  • 3
    Electronic Resource
    Electronic Resource
    Non-linear dynamic substructure analysis using direct integration of steady-state solution (1989)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 5 (1989), S. 405-413 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A reliable and efficient dynamic substructure technique for the determination of the steady-state response of structures with physical non-linearities is presented. Although the algorithm is similar to component mode synthesis, enhanced substructure of Lanczos--Ritz vectors are used, to account for the spatial distribution of the external and inertial loads. The steady-state solution is computed from the transient response over a single excitation cycle. The non-linear behaviour is accomplished by a purely iterative pseudo-force method. The numerical results show the potential of such an approach for the analysis of large structures.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630050607
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