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Saturday, May 16, 2020 | History

6 edition of Methods of direct solving the Boltzmann equation and study of nonequilibrium flows (Fluid Mechanics and Its Applications) found in the catalog.

Methods of direct solving the Boltzmann equation and study of nonequilibrium flows (Fluid Mechanics and Its Applications)

by V.V. Aristov

  • 230 Want to read
  • 21 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Mechanics of fluids,
  • Science,
  • Science/Mathematics,
  • Mechanics - Dynamics - Aerodynamics,
  • Science / Mechanics,
  • Science / Mechanics / Dynamics / Aerodynamics,
  • Mechanics - General,
  • Mathematical Physics

  • The Physical Object
    FormatPaperback
    Number of Pages324
    ID Numbers
    Open LibraryOL9600656M
    ISBN 101402003889
    ISBN 109781402003882
    OCLC/WorldCa638746088

    For description of unstable and turbulent compressible gas flows with nonequilibrium regions we apply direct methods of solving the Boltzmann kinetic equation [1, 2]. Solutions by the Boltzmann equation tend to the solutions of the Navier-Stokes equations according to the Chapman-Enskog expansion for stable flows. For unstable cases, especially for strong turbulent compressible flows the Author: V. V. Aristov, A. A. Frolova, O. I. Rovenskaya, S. A. Zabelok. We develop a spectral method for the spatially homogeneous Boltzmann equation using Burnett polynomials in the basis functions. Using the sparsity of the coefficients in the expansion of the collision term, we reduce the computational cost by one order of magnitude for general collision kernels and by two orders of magnitude for Maxwell by: 2.

    - Explore instructor's board "Direct Method" on Pinterest. See more ideas about Direct method, Language and Teaching methods pins. Direct methods for solving the Boltzmann equation and study of nonequilibrium flowsCited by:

    He had independently proposed the DSBGK method to efficiently and accurately solve the B.G.K equation, a good approximation of the Boltzmann equation, and developed the MPI Fortran software NanoGasSim using the DSBGK method for the pore-scale study of shale gas permeability and gas flows in MEMS and vacuum system at high Knudsen (Kn) number. Methods of direct solving the Boltzmann equation and study of nonequilibrium flows. (). Modeling and simulation in science, engineering & technology. Birkh¨ auser, (). New directions in fluid dynamics: Non-equilibrium aerodynamic and microsystem flows. Author: Matteo Icardi.


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Methods of direct solving the Boltzmann equation and study of nonequilibrium flows (Fluid Mechanics and Its Applications) by V.V. Aristov Download PDF EPUB FB2

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows (Fluid Mechanics and Its Applications Book 60) - Kindle edition by Aristov, V.V. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows Manufacturer: Springer.

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows (Fluid Mechanics and Its Applications) Softcover reprint of the original 1st ed. Edition by V.V. Aristov (Author) › Visit Amazon's V.V. Aristov Page. Find all the books, read about the author, and more.

Cited by: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. Usually dispatched within 3 to 5 business days. Usually dispatched within 3 to 5 business days. This book is concerned with the methods of solving the nonlinear Boltz­ mann equation and of investigating its possibilities for describing some aerodynamic and physical problems.

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. Multi-Dimensional Problems. Study of Free Jet Flows. This book is concerned with the methods of solving the nonlinear Boltz­ mann equation and of investigating its possibilities for describing some aerodynamic and physical problems.

MainDirect Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. Aristov (auth.) This book is concerned with the methods of solving the nonlinear Boltz­ mann equation and of investigating its possibilities for describing some aerodynamic and physical problems.

Free 2-day shipping. Buy Fluid Mechanics and Its Applications: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows (Hardcover) at Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows by V.V.

ARISTOV Computing Center ofthe Russian Academy of Sciences, Moscow, Russia KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON. This approach was elaborated, in particular, for this purpose itself. Recently, the direct solution of the Boltzmann equation was applied to study the hypersonic flow (Mach number M = 6) about a.

Aristov V.V. () Survey of Mathematical Approaches to Solving the Boltzmann Equation. In: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. Fluid Mechanics and its Applications, vol Author: V.

Aristov. One can expect to study unstable structure of supersonic jets from upstream Taylor-Goertler 56 type vortices until a structure of small unsteady vortices downstream. REFERENCES I. V.V. Aristov, Direct methods of solving the Boltzmann equation and study of nonequilibrium flows, Kluwer Academic Publishers, Dordrecht, by: 2.

Read "Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows" by V.V. Aristov available from Rakuten Kobo.

This book is concerned with the methods of solving the nonlinear Boltz­ mann equation and of investigating its possibili Brand: Springer Netherlands. Get this from a library. Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. [V V Aristov] -- The outstanding points of our book consist of investigations into the possibility of the numerical schemes of the direct method for solving the Boltzmann equation.

Both deterministic and Monte Carlo. Non-equilibrium thermal transport and entropy analyses in rarefied cavity flows - Volume - Vishnu Venugopal, Divya Sri Praturi, Sharath S. Girimaji Direct methods for solving the Boltzmann equations: Non-equilibrium thermal transport and entropy analyses in rarefied cavity flows.

Vishnu Venugopal (a1). Boltzmann equation as a physical and mathematical model --Survey of mathematical approaches to solving the boltzmann equation --Main features of the direct numerical approaches --Deterministic (regular) method for solving the boltzmann equation --Construction of conservative scheme for the kinetic equation --Parallel algorithms for the kinetic equation --Application of the conservative splitting method for investigating near continuum gas flows --Study.

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows, () Tests of a simulation method for a system of Boltzmann equations. Computers & Mathematics with ApplicationsCited by: by the model equations), on the other hand the direct Boltzmann approach is reliable for small pressure drop (where DSMC fails).

Aristov V.V. Direct Methods for solving the Boltzmann equation and study of nonequilibrium flows, Kluwer Academic Publishers, Dordrecht, Veterinary Viral Diseases: Methods and Protocols (Methods in Molecular Biology) Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows (Fluid Mechanics and Its Applications) Subtraction Facts Math Practice Worksheet Arithmetic Workbook With Answers: Daily.

Because this text provides comprehensive coverage of the physical models available for use in the DSMC method, in addition to the equations and algorithms required to implement the DSMC numerical method, readers will learn to solve nonequilibrium flow problems and perform computer simulations, and obtain a more complete understanding of various Cited by: V.

Aristov, "Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows,'', Kluwer Academic Publishers, (). Google Scholar [2] L.

Baker and N. Hadjiconstantinou, Variance-reduced Monte Carlo solutions of the Boltzmann equation for low-speed gas flows: A discontinuous Galerkin formulation, Int.

Numer. by:   We present a coarse-grained steady-state solution framework for the Boltzmann kinetic equation based on a Newton-Broyden iteration. This approach is an extension of the equation-free framework proposed by Kevrekidis and coworkers, whose objective is the use of fine-scale simulation tools to directly extract coarse-grained, macroscopic by: 7.

A. V. Bobylev, “ The Chapman–Enskog and Grad methods for solving the Boltzmann equations,” Sov. Phys. Dokl. 27, 29 (). Google Scholar; R. Balakrishnan and R. K. Agarwal, “A comparative study of several higher-order kinetic formulations beyond Navier–Stokes for computing the shock structure,” AIAA Paper No.Cited by: V.

V. Aristov, Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows, Fluid Mechanics and Its Applications, Kluwer Academic Publishers, doi: / Google Scholar [7]Cited by: 2.Alternative solution methods are required because the prevalent Boltzmann solution technique, Direct Simulation Monte Carlo (DSMC), experiences a sharp rise in computational cost as the deviation.