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  • 1
    Electronic Resource
    Electronic Resource
    Response to "Comment on ‘Exact and moment equation modeling of electron transport in submicron structures' '' [Appl. Phys. Lett. 59, 1743 (1991)] (1994)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 64 (1994), S. 803-804 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.111020
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  • 2
    Electronic Resource
    Electronic Resource
    Exact and moment equation modeling of electron transport in submicron structures (1991)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 59 (1991), S. 1743-1745 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We compare I-V characteristics of a semiconducting submicron n+nn+ diode as predicted by extended moment equation approximations to those obtained from the solution of the corresponding Boltzmann equation. All lower order models fail in the predominantly ballistic regime. Moreover, the conductance is inadequately predicted by these models, even in nonballistic cases due to the high build-in electric fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.106237
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  • 3
    Electronic Resource
    Electronic Resource
    On the formulation of the dynamic mixed subgrid-scale model (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 4057-4059 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The dynamic mixed subgrid-scale model of Zang et al. [Phys. Fluids A 5, 3186 (1993)] (DMM1) is modified with respect to the incorporation of the similarity model in order to remove a mathematical inconsistency. Compared to DMM1, the magnitude of the dynamic model coefficient of the modified model (DMM2) is increased considerably, while it is still significantly smaller than as occurs in the dynamic subgrid-scale eddy-viscosity model of Germano [J. Fluid Mech. 238, 325 (1992)] (DSM). Large eddy simulations (LES) for the weakly compressible mixing layer are conducted using these three models and results are compared with direct numerical simulation (DNS) data. LES based on DMM1 gives a significant improvement over LES using DSM, while even better agreement is achieved with DMM2. © 1994 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868333
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  • 4
    Electronic Resource
    Electronic Resource
    A new finite difference scheme adapted to the one-dimensional Schrödinger equation (1993)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 44 (1993), S. 654-672 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We present a new discretisation scheme for the Schrödinger equation based on analytic solutions to local linearisations. The scheme generates the normalised eigenfunctions and eigenvalues simultaneously and is exact for piecewise constant potentials and effective masses. Highly accurate results can be obtained with a small number of mesh points and a robust and flexible algorithm using continuation techniques is derived. An application to the Hartree approximation for SiGe heterojunctions is discussed in which we solve the coupled Schrödinger-Poisson model problem selfconsistently.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00948481
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  • 5
    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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  • 6
    Electronic Resource
    Electronic Resource
    Discretization error dominance over subgrid terms in large eddy simulation of compressible shear layers in 2D (1994)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 10 (1994), S. 785-790 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Second- and fourth-order-accurate spatial discretization methods give rise to discretization errors which are large than the corresponding subgrid terms in large eddy simulation of compressible shear layers in 2D, if the ratio between the filter width and the grid spacing is close to one. Even if an exact representation for the subgrid-scale contributions is assumed, large eddy simulation is accurate only if this ratio is sufficiently larger than one. In that regime fourth-order methods are more accurate than second-order methods. An analysis of the data obtained from two-dimensional direct numerical simulations of compressible shear layers substantiates these assertions.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640101004
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  • 7
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    Turbulent flow computation (2002)
    Dordrecht ; Boston : Kluwer Academic
    Fluid mechanics and its applications  
    Details
    Keywords: Turbulence, Data processing. ; Turbulence, Mathematical models.
    Pages: xv, 369 p.
    ISBN: 0-306-48421-8
    URL: http://www.netLibrary.com/urlapi.asp?action=summary&v=1&bookid=105512
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    E-Book (German National Licenses)
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