Titlebook: Rarefied Gas Dynamics; Kinetic Modeling and Lei Wu Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Sp

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Introduction,Several engineering applications where the Navier-Stokes-Fourier equations fail to predict the behavior of rarefied gas flows are introduced, as well as the simple gas kinetic theory and molecular dynamics simulation.

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Fast Spectral Method for Monatomic Gas Flow,The Boltzmann collision operator is a generalized convolution; therefore, it is better solved by the Fourier spectral method. First, we show how to design the collision kernel to recover the transport coefficients.

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,Kinetic Modeling of Monatomic Gas Flow,The complicated nature of the Boltzmann collision operator has stimulated the development of simpler kinetic models that try to imitate its behavior as closely as possible. In this chapter we introduce and assess the accuracy of typical gas kinetic models for single-species monatomic gas.

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Acoustics in Rarefied Gas,Oscillatory rarefied gas flows, which are common in microelectromechanical systems subject to external oscillations, are solved in this chapter. Specifically, the resonance and anti-resonance of rarefied gas flows are discussed.

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Dense Gas Flow,The fast spectral method is extended to solve the generalized Enskog equation, where the numerical method is validated by analytical solutions, event-driven molecular dynamics simulations, and DSMC method. The dense (granular) flow in a long channel is investigated.

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Lei WuElaborates the fast spectral method to solve the Boltzmann equation.Presents detailed analysis and numerical examples of multiscale simulation of rarefied gas dynamics.Provides fundamental discussions

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https://doi.org/10.1007/978-981-19-2872-7Boltzmann equation; Fast spectral method; Multiscale simulation; Shale gas flow; Non-equilibrium gas flo