A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes, Paperback/Kun Xu - Cambridge University Press

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This Element presents a Unified Computational Fluid Dynamics Framework from Rarefied to Continuum regimes.
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..
The UGKWP is a multi-scale method with the particle for non-equilibrium transport and wave for equilibrium evolution.
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).
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 mesh size and time step are used as modelling scales in the construction of discretized governing equations.
The Framework is based on the direct modelling of flow physics in a discretized space.
This Element presents a Unified Computational Fluid Dynamics Framework from Rarefied to Continuum regimes