The monograph is devoted to modern mathematical models and
numerical methods for solving gas- and ?uid-dynamic problems based
on them. Two interconnected mathematical models generalizing the
Navier-Stokes system are presented; they differ from the
Navier-Stokes system by additional dissipative terms with a small
parameter as a coef?cient. The new models are called the
quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these
equations, effective ?nite-difference algorithms for calculating
viscous nonstationary ?ows are constructed and examples of
numerical computations are presented. The universality, the
ef?ciency, and the exactness of the algorithms constructed are
ensured by the ful?llment of integral conservation laws and the
theorem on entropy balance for them. The book is a course of
lectures and is intended for scientists and engineers who deal with
constructing numerical algorithms and performing practical
calculations of gas and ?uid ?ows and also for students and
postgraduate students who specialize in numerical gas and ?uid
dynamics.
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