عنوان

Gravity-capillary free-surface flows /

0521811902

9780521811903

b737172

Gravity-capillary free-surface flows /

[Book]

Jean-Marc Vanden-Broeck.

New York :

Cambridge University Press,

2010.

xi, 318 pages :

illustrations ;

26 cm.

Cambridge monographs on mechanics

Includes bibliographical references (pages 308-317) and index.

Includes bibliographical references and index.

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.

0

"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.

Fluid mechanics.

Nonlinear waves-- Mathematical models.

Surface waves (Oceanography)-- Mathematical models.

Fluid mechanics.

Nonlinear waves-- Mathematical models.

Surface waves (Oceanography)-- Mathematical models.

Vanden-Broeck, J.-M., (Jean-Marc)

20201203215156.0

[Book]

Y