macroscopic transport equations for rarefied gas flows interaction of mechanics and mathematics

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Macroscopic Transport Equations For Rarefied Gas Flows

Author : Henning Struchtrup
ISBN : 9783540323860
Genre : Science
File Size : 74. 5 MB
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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.

Direct Modeling For Computational Fluid Dynamics

Author : Kun Xu
ISBN : 9789814623735
Genre : Technology & Engineering
File Size : 26. 17 MB
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Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes. Contents:Direct Modeling for Computational Fluid DynamicsIntroduction to Gas Kinetic TheoryIntroduction to Nonequilibrium Flow SimulationsGas Kinetic SchemeUnified Gas Kinetic SchemeLow Speed Microflow StudiesHigh Speed Flow StudiesUnified Gas Kinetic Scheme for Diatomic GasConclusion Readership: Undergraduate and graduate students, researchers and professionals interested in computational fluid dynamics. Key Features:Direct modeling for CFD is self-contained and unified in presentationIt may be used as an advanced textbook by graduate students and even ambitious undergraduates in computational fluid dynamicsIt is also suitable for experts in CFD who wish to have a new understanding of the fundamental problems in the subject and study alternative approaches in CFD algorithm development and applicationThe explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literatureKeywords:Direct Modeling;Unified Gas Kinetic Scheme;Boltzmann Equation;Kinetic Collision Model;Asymptotic Preserving Method

Mesoscopic Theories Of Heat Transport In Nanosystems

Author : Antonio Sellitto
ISBN : 9783319272061
Genre : Science
File Size : 62. 75 MB
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This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of nonequilibrium thermodynamics, going beyond the local-equilibrium. The book includes six main chapters, together with a preface and a final section devoted to the future perspectives, as well as an extensive bibliography.

Rarefied Gas Dynamics

Author :
ISBN : UCSD:31822036973634
Genre : Rarefied gas dynamics
File Size : 48. 39 MB
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Proceedings Of The Royal Society Of London

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ISBN : UCLA:L0099078453
Genre : Engineering
File Size : 70. 90 MB
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Principles Of Multiscale Modeling

Author : Weinan E
ISBN : 9781107096547
Genre : Mathematics
File Size : 47. 51 MB
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A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Honor Harrington Die Feuertaufe

Author : David Weber
ISBN : 9783838715797
Genre : Fiction
File Size : 49. 29 MB
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Das brandneue Abenteuer aus dem Honor-Harrington-Universum! Honor macht sich auf den Weg zum Planeten Casimir, um ein Sklaven-Lager auszuheben. Action-SF von Weltklasseformat, wie die internationale Erfolgsgeschichte des Autors zeigt. Die Gesamtauflage von David Weber beträgt inzwischen rund 7 Millionen Exemplare!

Mathematical Reviews

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ISBN : UOM:39015057109889
Genre : Mathematics
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Applied Mechanics Reviews

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ISBN : OSU:32435051265205
Genre : Mechanics, Applied
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Government Reports Announcements

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ISBN : MINN:30000010307738
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