Nonlinear Hydrodynamic Modeling: A Mathematical Introduction
Springer Berlin (Verlag)
978-3-662-13643-0 (ISBN)
Modeling: A strategy for understanding.- A simple nonlinear model of convection.- From the equations of motion to spectral models.- Linear stability analysis.- Bifurcation analysis of stationary solutions.- Typical branching forms: Stationary solutions.- The expected branching solution: Preferred wavelengths.- Identifying crucial parameters with contact catastrophe theory.- Hierarchies of transitions: Secondary branching.- Alexander-Yorke Continuation: Numerically finding all the stationary solutions in a spectral model.- Typical branching forms: Periodic solutions.- The expected branching solution: Preferred wavelengths and orientations.- On computing the branching direction of bifurcating periodic solutions.- Bifurcation analysis of periodic solutions.- The transition to turbulence.- Diagnosing the structures of attractors.- to topological hydrodynamics.- Modeling and metamodeling.
| Erscheint lt. Verlag | 17.4.2014 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Zusatzinfo | XVI, 548 p. 21 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 244 mm |
| Gewicht | 952 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| Schlagworte | Bifurcation • convection • Dynamics • fluid- and aerodynamics • Hydrodynamics • Solution • Spectra • stability • Structure • tractor • Turbulence |
| ISBN-10 | 3-662-13643-0 / 3662136430 |
| ISBN-13 | 978-3-662-13643-0 / 9783662136430 |
| Zustand | Neuware |
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