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

Format:

Book

Contributor:

Shirer, Hampton N., Editor.

Series:

Lecture Notes in Physics, 0075-8450 ; 271

Language:

English

Subjects (All):

Fluids.

Fluid- and Aerodynamics.

Local Subjects:

Fluid- and Aerodynamics.

Physical Description:

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

Edition:

1st ed. 1987.

Place of Publication:

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

Language Note:

English

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

3-540-47456-0