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Series:   Elements in Aerospace Engineering

A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes

Published online by Cambridge University Press:  13 May 2021

Kun Xu
Kun Xu
Affiliation:
Hong Kong University of Science and Technology

Summary

This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes. The framework is based on the direct modelling of flow physics in a discretized space. The mesh size and time step are used as modelling scales in the construction of discretized governing equations. With the variation-of-cell Knudsen number, continuous modelling equations in different regimes have been obtained, and the Boltzmann and Navier-Stokes equations become two limiting equations in the kinetic and hydrodynamic scales. The unified algorithms include the discrete velocity method (DVM)–based unified gas-kinetic scheme (UGKS), the particlebased unified gas-kinetic particle method (UGKP), and the wave and particle–based unified gas-kinetic wave-particle method (UGKWP). The UGKWP is a multi-scale method with the particle for non-equilibrium transport and wave for equilibrium evolution. The particle dynamics in the rarefied regime and the hydrodynamic flow solver in the continuum regime have been unified according to the cell's Knudsen number.
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Keywords

multi-scale modellingnon-equilibrium flow computationgas-kinetic modelsNavier-Stokes equationscomputational fluid dynamics

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Type
Element
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Series: Elements in Aerospace Engineering
Online ISBN: 9781108877534
Publisher: Cambridge University Press
Print publication: 10 June 2021

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A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
  • Kun Xu, Hong Kong University of Science and Technology
  • Online ISBN: 9781108877534
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A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
  • Kun Xu, Hong Kong University of Science and Technology
  • Online ISBN: 9781108877534
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A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
  • Kun Xu, Hong Kong University of Science and Technology
  • Online ISBN: 9781108877534
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