Theoretical Fluid Dynamics

• Main Author: Feldmeier, Achim (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Theoretical and Mathematical Physics,
• Subjects: Fluids.; Mechanics.; Physics.; Mathematical physics.; Fluid mechanics.; Astrophysics.; Fluid- and Aerodynamics.; Classical Mechanics.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.; Engineering Fluid Dynamics.; Theoretical Astrophysics.
• Physical Description: XVI, 569 p. 500 illus., 25 illus. in color. online resource.
• ISBN: 9783030310226
• ISSN: 1864-5879
• DOI: 10.1007/978-3-030-31022-6

This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks. Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics. Many of the derivations, so far contained only in research journals, are made available here to a wider public.