Quasi-gas dynamic equations

Tatiana G. Elizarova (auth.)9783642002915, 3642002919

The monograph is devoted to modern mathematical models and numerical methods for solving gas- and fluid-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 coefficient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective finite-difference algorithms for calculating viscous non-stationary flows are constructed and examples of numerical computations are presented. The universality, the efficiency, and the exactness of the algorithms constructed are ensured by the fulfillment 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 fluid flows and also for students and post-graduated students who specialize in numerical gas and liquid dynamics

Table of contents :
Front Matter….Pages 1-11
Construction of Gas-Dynamic Equations by Using Conservation Laws….Pages 1-22
Elements of Kinetic Gas Theory….Pages 23-36
Quasi-gas-dynamic Equations….Pages 37-62
Quasi-gas-dynamic Equations and Coordinate Systems….Pages 63-74
Numerical Algorithms for Solving Gas-Dynamic Problems….Pages 75-108
Algorithms for Solving the Quasi-gas-dynamic Equations on Nonstructured Grids….Pages 109-128
Quasi-hydrodynamic Equations and Flows of Viscous Incompressible Fluids….Pages 129-165
Quasi-gas-dynamic Equations for Nonequilibrium Gas Flows….Pages 167-185
Quasi-gas-dynamic Equations for Binary Gas Mixtures….Pages 187-219
Back Matter….Pages 1-62