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Characteristics Finite Element Methods in Computational Fluid Dynamics

Joe Iannelli

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ISBN 10: 3540251812 / ISBN 13: 9783540251811
Editore: Springer-Verlag Gmbh Aug 2006, 2006
Nuovi Condizione: Neu
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Rhein-Team Lörrach Ivano Narducci e.K.
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Neuware - This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations. Based on the mathematics and physics of multi-dimensional characteristics, convection as well as acoustics, and inducing by design a controllable multi-dimensional upwind bias that can be locally optimized, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic,transonic, supersonic, and hypersonic inviscid and viscous flows with chemical reactions and work, heat and mass transfer. 730 pp. Englisch. Codice inventario libreria 9783540251811

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Titolo: Characteristics Finite Element Methods in ...

Casa editrice: Springer-Verlag Gmbh Aug 2006

Data di pubblicazione: 2006

Legatura: Buch

Condizione libro: Neu

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Riassunto:

This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from first thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations.

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This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.

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