Gravity-capillary free-surface flows
By: Jean-Marc Vanden-Broeck.
Series: Cambridge monographs on mechanics
Publisher: Cambridge University Press
Published: 2010
Place of publication: New York
Language: eng
ISBN-13: 9780521811903
Subjects: Surface waves -- Mathematical models; Nonlinear waves -- Mathematical models; Fluid mechanics
Description: "Free surface problems occur in many aspects of science and of everyday life such as the waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a container and sails billowing in the wind. Consequently, the effect of surface tension on gravity-capillary flows continues to be a fertile field of research in applied mathematics and engineering. Concentrating on applications arising from fluid dynamics, Vanden-Broeck draws upon his years of experience in the field to address the many challenges involved in attempting to describe such flows mathematically. Whilst careful numerical techniques are implemented to solve the basic equations, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. The author also reviews relevant concepts in fluid mechanics to help readers from other scientific fields who are interested in free boundary problems"--Provided by publisher.
Notes: Includes index.
Table of contents: title: Machine generated contents note: Preface; 1. Introduction; 2. Basic concepts; 3. Free surface flows which intersect walls; 4. Linear free surface flows generated by moving disturbances; 5. Nonlinear waves (asymptotic solutions); 6. Numerical computations of nonlinear water waves; 7. Nonlinear free surface flows generated by moving disturbances; 8. Free surface flows with waves and intersections with rigid walls; 9. Waves with constant vorticity; 10. Three-dimensional free surface flows; 11. Time dependent free surface flows; Epilogue; References; Index.