Topic
Rarefaction
About: Rarefaction is a research topic. Over the lifetime, 1852 publications have been published within this topic receiving 26943 citations.
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25 Dec 2018
TL;DR: In this paper, the high-order moments in the Lattice Boltzmann method were considered for gas flows in ultra-tight media and the influence of Reynolds number (Re) on the intrinsic permeability was discussed.
Abstract: Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible) Navier-Stokes equation. However, in LBM simulations, high-order moments, which are completely neglected in the Navier-Stokes equation, are still available through particle distribution functions. To ensure that the LBM simulation is correctly working at the Navier-Stokes hydrodynamic level, the high-order moments have to be negligible. This requires that the Knudsen number (Kn) is small so that rarefaction effect can be ignored. In our study, we elaborate this issue in LBM modeling of porous media flows, which is particularly important for gas flows in ultra-tight media. The influence of Reynolds number (Re) on the intrinsic permeability is also discussed.
14 citations
TL;DR: In this paper, the inflow problem in the supersonic case for a one-dimensional compressible viscous gas on the half line (0,+∞) is investigated.
Abstract: The inflow problem in the supersonic case for a one-dimensional compressible viscous gas on the half line (0,+∞) is investigated. A stability theorem concerning the long time behavior of rarefaction wave is established.
14 citations
TL;DR: In this paper, a numerical evaluation of the stress distribution along the axis of symmetry, in the case of rectangular pressure pulses of different durations, is presented. And the patterns due to longitudinal compression and rarefaction waves, shear edge wave, head waves and Rayleigh wave are distinguished.
14 citations
Posted Content•
TL;DR: In this paper, the authors investigated the properties of finite energy travelling waves to the nonlinear Schrodinger equation with nonzero conditions at infinity for a wide class of nonlinearities.
Abstract: We investigate the properties of finite energy travelling waves to the nonlinear Schrodinger equation with nonzero conditions at infinity for a wide class of nonlinearities. In space dimension two and three we prove that travelling waves converge in the transonic limit (up to rescaling) to ground states of the Kadomtsev-Petviashvili equation. Our results generalize an earlier result of F. Bethuel, P. Gravejat and J-C. Saut for the two-dimensional Gross-Pitaevskii equation, and provide a rigorous proof to a conjecture by C. Jones and P. H. Roberts about the existence of an upper branch of travelling waves in dimension three.
14 citations
30 Oct 1979
TL;DR: In this paper, eight applications of the Random-Choice Method (RCM) to the solution of problems in shock and detonation-wave dynamics are presented, and it is shown that unlike other numerical methods, the RCM yields sharp-fronted shocks and contact surfaces without resorting to artificial and perhaps erroneous means of predicting their locations.
Abstract: : Eight applications of the Random-Choice Method (RCM) to the solution of problems in shock and detonation-wave dynamics are presented. It is shown that unlike other numerical methods, the RCM yields sharp-fronted shocks and contact surfaces without resorting to artificial and perhaps erroneous means of predicting their locations. It has been shown by examples that the RCM provides exceptionally high computational accuracy for flows involving planar and spherical shock waves, rarefaction waves and contact surfaces, as well as their interactions. In addition, the RCM can handle flows with detonations and chemical reactions involving the above transition fronts.
14 citations