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  • aerodynamic flows  (1)
  • incompressible attachment-line flow  (1)
  • large eddy simulation  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Subgrid-modelling in LES of compressible flow (1995)
    Springer
    Flow, turbulence and combustion 54 (1995), S. 191-203 
    Details
    ISSN: 1573-1987
    Keywords: large eddy simulation ; compressible mixing layer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results.A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity andk-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00849116
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Application of polynomial preconditioners to conservation laws (2000)
    Springer
    Journal of engineering mathematics 38 (2000), S. 403-426 
    Details
    ISSN: 1573-2703
    Keywords: polynomial preconditioning ; conservation laws ; implicit timestepping ; aerodynamic flows
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Polynomial preconditioners which are suitable in implicit time-stepping methods for conservation laws are reviewed and analyzed. The preconditioners considered are either based on a truncation of a Neumann series or on Chebyshev polynomials for the inverse of the system-matrix. The latter class of preconditioner is optimal in a space of polynomials of certain degree if the matrix has only real eigenvalues and a non-singular system of eigenvectors. The preconditioning can be applied to any convergent splitting of the system matrix, i.e. to any classical implicit time-stepping method for conservation laws that is based on a quasi-Newton iteration. An efficient implementation based on SSOR is presented and the approach is applied to simulations of the viscous unsteady Burgers equation and to inviscid steady flow around an airfoil in two spatial dimensions to illustrate the method in large-scale computations. For viscous flows the efficiency increase due to preconditioning is considerable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004836400044
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Spatial Instabilities of the Incompressible Attachment-Line Flow Using Sparse Matrix Jacobi–Davidson Techniques (1997)
    Springer
    Flow, turbulence and combustion 59 (1997), S. 315-329 
    Details
    ISSN: 1573-1987
    Keywords: incompressible attachment-line flow ; hydrodynamic stability ; Jacobi–Davidson method ; sparse quadratic eigenvalue systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract We consider the linear stability of incompressible attachment-line flow within the spatial framework. No similarity or symmetry assumptions for the instability modes are introduced and the full two-dimensional representation of the modes is used. The perturbation equations are discretized on a two-dimensional staggered grid. A high order finite difference scheme has been developed which gives rise to a large, sparse, quadratic, eigenvalue problem for the instability modes. The benefits of the Jacobi–Davidson method for the solution of this eigenvalue system are demonstrated and the approach is validated in some detail. Spatial stability results are presented subsequently. In particular, instability predictions at very high Reynolds numbers are obtained which show almost equally strong instabilities for symmetric and antisymmetric modes in this regime.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001181628630
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    Paper (German National Licenses)
    Fulltext
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