Theoretical Fluid Dynamics

Achim Feldmeier

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English

Springer Nature Switzerland AG
26 August 2021

Mathematical modelling; Theoretical & mathematical astronomy; Fluid mechanics; Mathematical physics; Mechanics of fluids

Series: Theoretical and Mathematical Physics

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.

By: Achim Feldmeier
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2019 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 890g
ISBN: 9783030310240
ISBN 10: 3030310248
Series: Theoretical and Mathematical Physics
Pages: 569
Publication Date: 26 August 2021
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Description of fluids.- Flows in the complex plane.- Vortices, corner flow and flow past plates.- Jets, wakes and cavities.- Kelvin-Helmholtz instability.- Kinematics of waves.- Shallow water waves.- Free surface waves.- Existence proof for weakly nonlinear water waves.- Sound and internal gravity waves.- Supersonic flow and shocks.

Achim Feldmeier is an astrophysicist and obtained his PhD in astronomy from Ludwig-Maximilians-Universität in München in 1994. He was postdoc at the University of Kentucky in Lexington and at Imperial College in London. Since 2000 he works at the Universität Potsdam, where he is apl professor since 2006. He gave numerous courses in hydrodynamics and his research work is on flow properties of stellar winds.