Numerical simulation of shock wave propagation in microchannels using continuum and kinetic approaches

被引:29
|
作者
Zeitoun, David E. [1 ]
Burtschell, Yves [1 ]
Graur, Irina A. [1 ]
Ivanov, Mikhail S. [2 ]
Kudryavtsev, Alexey N. [2 ]
Bondar, Yevgeny A. [2 ]
机构
[1] Univ Aix Marseille 1, UMR 6595, IUSTI, Ecole Polytech Univ Marseille,DME, F-13453 Marseille, France
[2] Russian Acad Sci, Siberian Div, Inst Theoret & Appl Mech, Novosibirsk 630090, Russia
关键词
Micro-shock tube; Viscous effects; Kinetic equations; FLOW;
D O I
10.1007/s00193-009-0202-1
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Numerical simulations of shock wave propagation in microchannels and microtubes (viscous shock tube problem) have been performed using three different approaches: the Navier-Stokes equations with the velocity slip and temperature jump boundary conditions, the statistical Direct Simulation Monte Carlo method for the Boltzmann equation, and the model kinetic Bhatnagar-Gross-Krook equation with the Shakhov equilibrium distribution function. Effects of flow rarefaction and dissipation are investigated and the results obtained with different approaches are compared. A parametric study of the problem for different Knudsen numbers and initial shock strengths is carried out using the Navier-Stokes computations.
引用
收藏
页码:307 / 316
页数:10
相关论文
共 50 条
  • [1] Numerical simulation of shock wave propagation in microchannels using continuum and kinetic approaches
    David E. Zeitoun
    Yves Burtschell
    Irina A. Graur
    Mikhail S. Ivanov
    Alexey N. Kudryavtsev
    Yevgeny A. Bondar
    Shock Waves, 2009, 19 : 307 - 316
  • [2] Numerical simulation of shock waves at microscales using continuum and kinetic approaches
    Zeitoun, D. E.
    Burtschell, Y.
    Graur, I.
    Hadjadj, A.
    Chinnayya, A.
    Ivanov, M. S.
    Kudryavtsev, A. N.
    Bondar, Y. A.
    SHOCK WAVES, VOL 2, PROCEEDINGS, 2009, : 1443 - +
  • [3] Comparison of kinetic and continuum approaches for simulation of shock wave/boundary layer interaction
    I.A. Graur
    M.S. Ivanov
    G.N. Markelov
    Y. Burtschell
    E. Valerio
    D. Zeitoun
    Shock Waves, 2003, 12 : 343 - 350
  • [4] Comparison of kinetic and continuum approaches for simulation of shock wave/boundary layer interaction
    Graur, IA
    Ivanov, MS
    Markelov, GN
    Burtschell, Y
    Valerio, E
    Zeitoun, D
    SHOCK WAVES, 2003, 12 (04) : 343 - 350
  • [5] Continuum and Kinetic Simulations of Shock Wave Propagation in Long Microchannel
    Zeitoun, D. E.
    Graur, I. A.
    Burtschell, Y.
    Ivanov, M. S.
    Kudrayvtsev, A. N.
    Bondar, Ye. A.
    RAREFIED GAS DYNAMICS, 2009, 1084 : 464 - +
  • [6] Numerical simulation of shock wave propagation in flows
    Renier, Mathieu
    Marchiano, Regis
    Gaudard, Eric
    Gallin, Louis-Jonardan
    Coulouvrat, Francois
    NONLINEAR ACOUSTICS: STATE-OF-THE-ART AND PERSPECTIVES (ISNA 19), 2012, 1474 : 332 - 335
  • [7] Numerical Simulation of Nozzle Flow into High Vacuum Using Kinetic and Continuum Approaches
    Grabe, Martin
    Boettcher, Rolf-D.
    Fasoulas, Stefanos
    Hannemann, Klaus
    NEW RESULTS IN NUMERICAL AND EXPERIMENTAL FLUID MECHANICS VII, 2010, 112 : 423 - +
  • [8] Numerical Simulation of the Instability Development in a Compressible Mixing Layer Using Kinetic and Continuum Approaches
    Kudryavtsev, A. N.
    Poleshkin, S. O.
    Shershnev, A. A.
    HIGH ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019), 2019, 2125
  • [9] Micro flow simulation using kinetic and continuum approaches
    Morinishi, Koji
    Computational Fluid Dynamics 2004, Proceedings, 2006, : 59 - 74
  • [10] NUMERICAL INVESTIGATION OF HEAT TRANSFER IN ROUGH MICROCHANNELS USING A KINETIC CONTINUUM SOLVER
    Rovenskaya, Olga
    Croce, Giulio
    PROCEEDINGS OF THE ASME 13TH INTERNATIONAL CONFERENCE ON NANOCHANNELS, MICROCHANNELS, AND MINICHANNELS, 2015, 2015,