TY - BOOK ID - 7690020 TI - Quasi-gas dynamic equations PY - 2009 SN - 3642101356 3642002919 9786612332838 128233283X 3642002927 PB - Dordrecht ; New York : Springer, DB - UniCat KW - Fluid dynamics -- Mathematical models. KW - Gas dynamics -- Mathematical models. KW - Gas dynamics KW - Fluid dynamics KW - Applied Mathematics KW - Engineering & Applied Sciences KW - Mathematical models KW - Fluid dynamics. KW - Gas dynamics. KW - Navier-Stokes equations KW - Numerical solutions. KW - Gasdynamics KW - Engineering. KW - Computer mathematics. KW - Fluids. KW - Fluid mechanics. KW - Engineering Fluid Dynamics. KW - Fluid- and Aerodynamics. KW - Computational Science and Engineering. KW - Numerical analysis KW - Thermodynamics KW - Dynamics KW - Fluid mechanics KW - Hydraulic engineering. KW - Computer science. KW - Informatics KW - Science KW - Engineering, Hydraulic KW - Engineering KW - Hydraulics KW - Shore protection KW - Computer mathematics KW - Electronic data processing KW - Mathematics KW - Mechanics KW - Physics KW - Hydrostatics KW - Permeability KW - Hydromechanics KW - Continuum mechanics UR - https://www.unicat.be/uniCat?func=search&query=sysid:7690020 AB - 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. ER -