Numerical methods in the theory of rarefied gases
Author : V P. SHIDLOVSKIY
Publisher :
Page : pages
File Size : 50,39 MB
Release : 1969
Category :
ISBN :
Author : V P. SHIDLOVSKIY
Publisher :
Page : pages
File Size : 50,39 MB
Release : 1969
Category :
ISBN :
Author : Vsevolod Pavlovich Shidlovskiĭ
Publisher :
Page : 200 pages
File Size : 46,96 MB
Release : 1972
Category : Gas dynamics
ISBN :
Author :
Publisher :
Page : 188 pages
File Size : 16,23 MB
Release : 1972
Category : Gas dynamics
ISBN :
Author : Vsevolod Pavlovich Shidlovskiĭ
Publisher :
Page : 806 pages
File Size : 15,28 MB
Release : 1972
Category : Gas dynamics
ISBN :
Author : Carlo Cercignani
Publisher : Cambridge University Press
Page : 348 pages
File Size : 25,49 MB
Release : 2000-02-28
Category : Mathematics
ISBN : 9780521659925
The aim of this book is to present the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.
Author : Henning Struchtrup
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 35,65 MB
Release : 2006-06-15
Category : Science
ISBN : 3540323864
The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed description. This book discusses classical and modern methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equation, for small and moderate Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier level. The main methods discussed are the classical Chapman-Enskog and Grad approaches, as well as the new order of magnitude method, which avoids the short-comings of the classical methods, but retains their benefits. The relations between the various methods are carefully examined, and the resulting equations are compared and tested for a variety of standard problems. The book develops the topic starting from the basic description of an ideal gas, over the derivation of the Boltzmann equation, towards the various methods for deriving macroscopic transport equations, and the test problems which include stability of the equations, shock waves, and Couette flow.
Author :
Publisher :
Page : 1280 pages
File Size : 45,79 MB
Release : 1980
Category : Aeronautics
ISBN :
Author : Lei Wu
Publisher : Springer Nature
Page : 293 pages
File Size : 15,33 MB
Release : 2022-09-09
Category : Science
ISBN : 981192872X
This book highlights a comprehensive description of the numerical methods in rarefied gas dynamics, which has strong applications ranging from space vehicle re-entry, micro-electromechanical systems, to shale gas extraction. The book consists of five major parts: The fast spectral method to solve the Boltzmann collision operator for dilute monatomic gas and the Enskog collision operator for dense granular gas; The general synthetic iterative scheme to solve the kinetic equations with the properties of fast convergence and asymptotic preserving; The kinetic modeling of monatomic and molecular gases, and the extraction of critical gas parameters from the experiment of Rayleigh-Brillouin scattering; The assessment of the fluid-dynamics equations derived from the Boltzmann equation and typical kinetic gas-surface boundary conditions; The applications of the fast spectral method and general synthetic iterative scheme to reveal the dynamics in some canonical rarefied gas flows. The book is suitable for postgraduates and researchers interested in rarefied gas dynamics and provides many numerical codes for them to begin with.
Author : Eric Phillip Muntz
Publisher :
Page : 648 pages
File Size : 43,48 MB
Release : 1989
Category : Science
ISBN :
Forty-four papers (revised) from the conference held July 1988. They cover: kinetic theory, discrete kinetic theory, direct simulations, numerical techniques, and flowfields. Acidic paper; no subject index. Annotation copyright Book News, Inc. Portland, Or.
Author : O.M. Belotserkovskii
Publisher : Springer
Page : 728 pages
File Size : 11,69 MB
Release : 1999-03-15
Category : Science
ISBN : 9780306419324