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.
| Autorius: | Joe Iannelli |
| Serija: | Computational Fluid and Solid Mechanics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2010 |
| Knygos puslapių skaičius: | 756 |
| ISBN-10: | 3642064302 |
| ISBN-13: | 9783642064302 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Numerical analysis |
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