Instability of Poiseuille flow at extreme Mach numbers: linear analysis and simulations. Academic Article uri icon


  • We develop the perturbation equations to describe instability evolution in Poiseuille flow at the limit of very high Mach numbers. At this limit the equation governing the flow is the pressure-released Navier-Stokes equation. The ensuing semianalytical solution is compared against simulations performed using the gas-kinetic method (GKM), resulting in excellent agreement. A similar comparison between analytical and computational results of small perturbation growth is performed at the incompressible (zero Mach number) limit, again leading to excellent agreement. The study accomplishes two important goals: it (i) contrasts the small perturbation evolution in Poiseuille flows at extreme Mach numbers and (ii) provides important verification of the GKM simulation scheme.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

altmetric score

  • 0.25

author list (cited authors)

  • Xie, Z., & Girimaji, S. S.

citation count

  • 10

complete list of authors

  • Xie, Zhimin||Girimaji, Sharath S

publication date

  • April 2014