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  • 1
    Electronic Resource
    Electronic Resource
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 11 (2001), S. 329-341 
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Steady-state two-dimensional solutions to the full compressible Navier-Stokes equations are computed for laminar convective motion of a gas in a square cavity with large horizontal temperature differences. No Boussinesq or low-Mach number approximations of the Navier-Stokes equations are used. Results for air are presented. The ideal-gas law is used and viscosity is given by Sutherland's law. An accurate low-Mach number solver is developed. Here an explicit third-order discretization for the convective part and a line-implicit central discretization for the acoustic part and for the diffusive part are used. The semi-implicit line method is formulated in multistage form. Multigrid is used as the acceleration technique. Owing to the implicit treatment of the acoustic and the diffusive terms, the .pngness otherwise caused by high aspect ratio cells is removed. Low Mach number .pngness is treated by a preconditioning technique. By a combination of the preconditioning technique, the semi-implicit discretization and the multigrid formulation a convergence behaviour is obtained which is independent of grid size, grid aspect ratio, Mach number and Rayleigh number. Grid converged results are shown for a variety of Rayleigh numbers.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 12 (2002), S. 65-80 
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Different methods for the determination of accurate values for the dissipation rate e at the inlet boundary of a computational domain, are studied. With DNS data for a fully developed channel flow and pipe flow, it is shown that the method suggested by Rhee and Sung (2000), in which the k–e turbulence model is used to compute both k and e from a given velocity profile, is not reliable and can result in very poor results. The method is found to be extremely sensitive to the details of the imposed velocity profile. An alternative procedure is proposed, in which only the e transport equation is employed, with given profiles for the mean velocity and the turbulence kinetic energy. This way, accurate and reliable profiles are obtained for e. Another procedure, based on the turbulent mixing length, was suggested by Jones (1994). The problem. The problem is then shifted towards the determination of the mixing length at the inlet boundary of the computational domain. An expression for this mixing length is proposed in this paper, based on the mentioned DNS data. Finally, the method proposed by Rodi and Scheuerer (1985) is included for comparison reasons. The different procedures are first validated on the fully developed channel and pipe flow. Next, the turbulent flow over a backward-facing step is considered. Finally, the influence of the inlet boundary condition for e is illustrated in the application of a turbulent piloted jet diffusion flame.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 13 (2003), S. 1057-1078 
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this study, Benchmark solutions are derived for the problem of two-dimensional laminar flow of air in a square cavity which is heated on the left, cooled on the right and insulated on the top and bottom boundaries. The temperature differences between the hot and cold walls are large. Neither Boussinesq nor low-Mach number approximations of the Navier-Stokes equations are used. The ideal-gas law is used and the viscosity is given by Sutherland's law. A constant Prandtl number is assumed. The computational method is completely described by Vierendeels et al. Grid converged results with an accuracy of 4 up to 5 digits are obtained for different Rayleigh numbers and temperature differences.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 13 (2003), S. 110-132 
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A numerical scheme that has already proved to be efficient and accurate for laminar heat transfer is extended for turbulent, axisymmetric heat transfer calculations. The extended scheme is applied to the steady-state heat transfer of axisymmetric turbulent jets, impinging onto a flat plate. Firstly, the low-Reynolds version of the standard k-? model is employed. As is well known, the classical k-? turbulence model fails to predict the heat transfer of impinging jets adequately. A non-linear k-? model, with improved ?-equation, yields much better results. The numerical treatment of the higher order terms in this model is described. The effect on the heat transfer predictions of a variable turbulent Prandtl number is shown to be small. It is also verified that the energy equation can be simplified, without affecting the results. Results are presented for the flow field and the local Nusselt number profiles on the plate for impinging jets with different distances between the pipe exit and the flat plate.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 34 (1998), S. 57-73 
    ISSN: 1573-2703
    Keywords: unstructured moving grids ; arbitrary Lagrangian–Eulerian method (ALE) ; Navier-Stokes equations ; incompressible flow ; finite-volume method.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract A method is described that allows the simulation of the flow of an incompressible fluid through complex-shaped two-dimensional domains which move in any prescribed time-varying way. The incompressible Navier-Stokes equations in arbitrary Lagrangian–Eulerian form are discretized on a triangular grid by means of a finite-volume method. Fully implicit time integration makes the method stable for any time step. Central differencing is used for the diffusive fluxes. Upwind differencing based on flux-difference splitting is used for the convective fluxes. A detailed description is provided for the discretization in two dimensions, with a collocated arrangement of pressure and velocity components as dependent variables. A description of the grid-generation process is given. Results are shown for the flow in a rotating-lobe pump.
    Type of Medium: Electronic Resource
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  • 6
    Title: Multigrid methods VI ; proceedings of the 6th European multigrid conference, Gent, Belgium, September 27-30, 1999; 14
    Contributer: Dirk, Erik , Riemslagh, Kris , Vierendeels, Jan
    Publisher: Berlin u.a. :Springer,
    Year of publication: 2000
    Pages: 292 S.
    Series Statement: Lecture notes in computational science and engineering 14
    Type of Medium: Book
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