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Quasi-Gas Dynamic Equations [electronic resource] /by Tatiana G. Elizarova.

by Elizarova, Tatiana G [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Computational Fluid and Solid Mechanics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.Description: online resource.ISBN: 9783642002922.Subject(s): Engineering | Computer science | Fluids | Hydraulic engineering | Engineering | Computational Science and Engineering | Fluids | Engineering Fluid DynamicsOnline resources: Click here to access online
Contents:
Construction of Gas-Dynamic Equations by Using Conservation Laws -- Elements of Kinetic Gas Theory -- Quasi-gas-dynamic Equations -- Quasi-gas-dynamic Equations and Coordinate Systems -- Numerical Algorithms for Solving Gas-Dynamic Problems -- Algorithms for Solving the Quasi-gas-dynamic Equations on Nonstructured Grids -- Quasi-hydrodynamic Equations and Flows of Viscous Incompressible Fluids -- Quasi-gas-dynamic Equations for Nonequilibrium Gas Flows -- Quasi-gas-dynamic Equations for Binary Gas Mixtures.
In: Springer eBooksSummary: 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
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Construction of Gas-Dynamic Equations by Using Conservation Laws -- Elements of Kinetic Gas Theory -- Quasi-gas-dynamic Equations -- Quasi-gas-dynamic Equations and Coordinate Systems -- Numerical Algorithms for Solving Gas-Dynamic Problems -- Algorithms for Solving the Quasi-gas-dynamic Equations on Nonstructured Grids -- Quasi-hydrodynamic Equations and Flows of Viscous Incompressible Fluids -- Quasi-gas-dynamic Equations for Nonequilibrium Gas Flows -- Quasi-gas-dynamic Equations for Binary Gas Mixtures.

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

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