1.

Record Nr.

UNISA996466703903316

Titolo

Nonlinear Hydrodynamic Modeling: A Mathematical Introduction [[electronic resource] /] / edited by Hampton N. Shirer

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1987

ISBN

3-540-47456-0

Edizione

[1st ed. 1987.]

Descrizione fisica

1 online resource (XVI, 548 p. 21 illus.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 271

Disciplina

532

533.62

Soggetti

Fluids

Fluid- and Aerodynamics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.