Gas-Kinetic Methods for Viscous Flows: From Basics to Recent Progress

The gas-kinetic methods for viscous flow simulations
have attracted much attention and become mature
during the past decade. Ever since they were
originally invented for compressible gas flows, the
gas-kinetic methods have been extended to various
viscous flow problems with a large number of
applications. This book not only provides an
introduction to the gas-kinetic methods, but also
presents some recent progress on these useful and
powerful methods. Besides the original gas-kinetic
finite volume scheme for the Euler and Navier-Stokes
equations, the book also covers in detail the
following extensions of the method: the high order
gas-kinetic Runge-Kutta discontinuous Galerkin
finite element method for Navier-Stokes equations,
the multiscale gas-kinetic method for flows in near
continuum regime including rarefied gas and
microscale gas flows, the multiple temperature
kinetic model for microscale flow problems. Plenty
of numerical examples are exhibited to validate
these methods. The book addresses researchers as
well as graduate students and engineers interested
in learning, using, or further developing the gas-
kinetic methods.