Multiscale and Multiphysics Flow Simulations of Using the Boltzmann Equation
This book provides a comprehensive introduction to the kinetic theory for describing flow problems from molecular scale, hydrodynamic scale, to Darcy scale. The author presents various numerical algorithms to solve the same Boltzmann-like equation for dif
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Multiscale and Multiphysics Flow Simulations of Using the Boltzmann Equation Applications to Porous Media and MEMS
Multiscale and Multiphysics Flow Simulations of Using the Boltzmann Equation
Jun Li
Multiscale and Multiphysics Flow Simulations of Using the Boltzmann Equation Applications to Porous Media and MEMS
123
Jun Li Center for Integrative Petroleum Research College of Petroleum Engineering and Geosciences King Fahd University of Petroleum and Minerals Dhahran, Saudi Arabia
ISBN 978-3-030-26465-9 ISBN 978-3-030-26466-6 https://doi.org/10.1007/978-3-030-26466-6
(eBook)
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Preface
This book presents a concise introduction to the kinetic theory, based on which different simulation methods that were independently developed for solving problems of different fields can be naturally related to each other. Then, the advantages and disadvantages of different methods will be discussed with reference to each other. It mainly covers four advanced simulation methods based on the Boltzmann equation (i.e., direct simulation Monte Carlo method, direct simulation BGK method, discrete velocity method, and lattice Boltzmann method) and their applications with detailed results. I tried to present an introduction to different theories of fluid dynamics starting from the traditional macroscopic description (i.e., Navier-Stokes-Fourier equations), which ends with discussion on its limitation in solving gas flows of high Knudsen number (Kn), including low-speed gas flows in vacuum systems, micro/nanoelectro-mechanical systems and unconventional rock, as well as supersonic gas flows. This
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