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  • Journals
  • Articles  (27)
  • finite element  (27)
  • Wiley-Blackwell  (27)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (27)
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  • Journals
  • Articles  (27)
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  • 1
    Electronic Resource
    Electronic Resource
    A multilayered mixed beam element in gradient plasticity for the analysis of localized failure modes (1998)
    New York, NY [u.a.] : Wiley-Blackwell
    Mechanics of Cohesive-frictional Materials 3 (1998), S. 305-322 
    Details
    ISSN: 1082-5010
    Keywords: strain localization ; finite element ; mesh sensitivity ; regularization ; gradient plasticity ; multilayered concrete beams ; Engineering ; Civil and Mechanical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A gradient-dependent plasticity theory is applied to finite element solutions of static strain localization problems. Assuming weak satisfaction of constitutive equations, a multilayered beam finite element with a mixed character is developed. The plastic strain field is discretized in addition of the displacement field. A consistent Newton-Raphson algorithm for this approach is presented. Some examples are carried out in order to illustrate the approach and verify the performances of the element. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 13 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Finite element computations of two-dimensional arterial flow in the presence of a transverse magnetic field (1995)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 20 (1995), S. 1153-1161 
    Details
    ISSN: 0271-2091
    Keywords: finite element ; arterial flow ; magnetic field ; co-ordinate transformation ; 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: A finite element solution of the Navier-Stokes equations for steady flow under the magnetic effect through a double-branched two-dimensional section of a three-dimensional model of the canine aorta is discussed. The numerical scheme involves transforming the physical co-ordinates to a curvilinear boundary-fitted co-ordinate system. The shear stress at the wall is calculated for a Reynolds number of 1000 with the branch-to-main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and found to be in reasonable qualitative agreement. The steady flow, shear stress and branch flow under the effect of a magnetic field have been discussed in detail.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650201004
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  • 3
    Electronic Resource
    Electronic Resource
    Lagrangian incompressible flow computations in three dimensions by use of space-time finite elements (1995)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 20 (1995), S. 989-1001 
    Details
    ISSN: 0271-2091
    Keywords: streamline diffusion ; finite element ; Lagrangian method ; space-time discretization ; 3D 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: In this paper we describe a space-time finite element method, with elements aligned along the computed characteristics in space-time, for the computation of incompressible free surface flows in three dimensions.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650200818
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  • 4
    Electronic Resource
    Electronic Resource
    NUMERICAL COMPUTATION OF CRITICAL FLOW OVER A SPILLWAY BY MEANS OF MINIMIZATION OF VIOLATION OF NEGATIVE CURVATURE CONDITION (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 22 (1996), S. 151-173 
    Details
    ISSN: 0271-2091
    Keywords: free surface flow ; spillways ; critical flow ; finite element ; sensitivity analysis ; variable domain method ; 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: A new method for the computation of two-dimensional critical flows over spillways is presented. The premise of the method is that at a critical value of the discharge coefficient that free boundary has no upstream waves. For the chosen spillway geometry without a toe section this requirement is equivalent to negative curvature of the free boundary. The method consists of two levels: at the inner level the corresponding free boundary value problem is solved for a fixed value of Q and at the outer level a critical value of Q is sought by minimization of the oscillation of the free boundary. An invaluable part of the method is the sensitivity anlaysis of the finite element stiffness matrix. The correctness of the numerical results is proved by scrutinizing the convergence rate by mesh refinement. Good agreement of the computed results with experimental data is achieved.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    A NON-LINEAR ADAPTED TRI-TREE MULTIGRID SOLVER FOR FINITE ELEMENT FORMULATION OF THE NAVIER-STOKES EQUATIONS (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 22 (1996), S. 1041-1059 
    Details
    ISSN: 0271-2091
    Keywords: grid generation ; tri-tree ; unstructured grid ; multigrid ; finite element ; mixed formulation ; analytic integration ; adaptive solver ; Navier-Stokes equations ; 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 iterative adaptive equation multigrid solver for solving the implicit Navier-Stokes equations simultaneously with tri-tree grid generation is developed. The tri-tree grid generator builds a hierarchical grid structur e which is mapped to a finite element grid at each hierarchical level. For each hierarchical finite element multigrid the Navier-Stokes equations are solved approximately. The solution at each level is projected onto the next finer grid and used as a start vector for the iterative equation solver at the finer level. When the finest grid is reached, the equation solver is iterated until a tolerated solution is reached. The iterative multigrid equation solver is preconditioned by incomplete LU factorization with coupled node fill-in.The non-linear Navier-Stokes equations are linearized by both the Newton method and grid adaption. The efficiency and behaviour of the present adaptive method are compared with those of the previously developed iterative equation solver which is preconditioned by incomplete LU factorization with coupled node fill-in.
    Additional Material: 8 Ill.
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  • 6
    Electronic Resource
    Electronic Resource
    A deforming finite element mesh for use in moving one-dimensional boundary wave problems (1997)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 25 (1997), S. 407-420 
    Details
    ISSN: 0271-2091
    Keywords: wave ; finite element ; deforming mesh ; run-up ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The finite element method is developed to solve the problem of wave run-up on a mild, plane slope. A novel approach to implementing a deforming mesh of one-dimensional, three-node, isoparametric elements is described and demonstrated. The discrete time interval (DTI), arbitrary Lagrangian-Eulerian (ALE) and space-time element (STE) methods are used to solve the unsteady one-dimensional shallow water wave equations. The boundary condition required is simply the seaward water surface elevation, and although the method has only been tested for monochromatic waves, it should be equally valid for any sea state which can be described as a water surface elevation as a function of time. All three solution methods are shown to given good results. Time histories of the terms of the governing equations are calculated and used to demonstrate how the ALE and STE methods account for mesh deformation. The model could be extended to two dimensions, which would have practical application to the run-up of obliquely incident waves. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 8 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    SUBGRID VOLUMETRIC QUADRATURE ACCURACY FOR TRANSIENT COMPRESSIBLE FLOW PREDICTIONS (1997)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 25 (1997), S. 143-149 
    Details
    ISSN: 0271-2091
    Keywords: transient compressible flow ; finite element ; quadrature ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A finite volume-element formulation of the Navier-Stokes equations for compressible flows is applied to the transient shock tube problem. A second-order spatial quadrature for volumetric integration is studied because of its effects on the shock wave resolution and positioning. Low quadrature order is shown to produce solution anomalies in regions with a transonic character as well as poor predictions of shock wave propagation. The second-order volumetric quadrature includes the proper upstream and downstream solution behaviour and eliminates both the transonic and shock speed errors in the transient shock tube problem. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 2 Ill.
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  • 8
    Electronic Resource
    Electronic Resource
    FINITE ELEMENT SOLUTIONS OF LAMINAR AND TURBULENT MIXED CONVECTION IN A DRIVEN CAVITY (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 23 (1996), S. 47-64 
    Details
    ISSN: 0271-2091
    Keywords: finite element ; thermal turbulence ; thermal eddy energy ; 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: This paper presents laminar and turbulent mixed convection solutions of a driven cavity flow using the finite element method. For the laminar flow, distributions of velocity and temperature with and without the effect of buoyancy force are presented and compared. For the turbulent flow, governing partial differential equations of the thermal turbulence two-equati on model and kinetic turbulence two-equation model are used. Corresponding results such as kinetic eddy diffusivity, kinetic eddy energy, thermal eddy energy and their dissipations are presented.
    Additional Material: 15 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    SINGLE-LAYER FINITE ELEMENT APPROXIMATION OF 3D NAVIER-STOKES EQUATIONS WITH FREE BOUNDARIES FOR SHALLOW WATER FLOWS (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 23 (1996), S. 143-161 
    Details
    ISSN: 0271-2091
    Keywords: finite element ; incompressible ; Navier-Stokes ; free surface flows ; shallow water ; 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: In order to simulate flows in the shallow water limit, the full incompressible Navier-Stokes equations with free boundaries are solved using a single layer of finite elements. This implies a polynomial approximation of the velocity profile in the vertical direction, which in turn distorts the wave speed. This fact is verified by numerical results: the wave speed depends on the vertical discretization. When at least two layers of finite elements are used, the boundary layer at the bottom can be simulated and the correct solution for the shallow water limit is recovered. Then this algorithm is applied to the prediction of Tsunami event.
    Additional Material: 14 Ill.
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  • 10
    Electronic Resource
    Electronic Resource
    On a multilevel approach for the two dimensional Navier-Stokes equations with finite elements (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 27 (1998), S. 241-258 
    Details
    ISSN: 0271-2091
    Keywords: multilevel algorithm ; 2D Navier-Stokes equations ; finite element ; large eddy simulations ; long time integration ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We study if the multilevel algorithm introduced in Debussche et al. (Theor. Comput. Fluid Dynam., 7, 279-315 (1995)) and Dubois et al. (J. Sci. Comp., 8, 167-194 (1993)) for the 2D Navier-Stokes equations with periodic boundary conditions and spectral discretization can be generalized to more general boundary conditions and to finite elements. We first show that a direct generalization, as in Calgaro et al. (Appl. Numer. Math., 21, 1-40 (1997)), for the Burgers equation, would not be very efficient. We then propose a new approach where the domain of integration is decomposed in subdomains. This enables us to define localized small-scale components and we show that, in this context, there is a good separation of scales. We conclude that all the ingredients necessary for the implementation of the multilevel algorithm are present. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 12 Ill.
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