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The book explores turbulence theory through the vorticity field, emphasizing its natural fit for incompressible flow. It highlights the historical contributions of Onsager and Joyce and Montgomery to two-dimensional vortex systems, while acknowledging the ongoing challenges in developing a robust three-dimensional theory. The initial chapters provide a foundational overview of homogeneous turbulence, including a detailed review of fluid mechanics and Fourier theory, and discuss Kolmogorov's inertial range theory, suggesting a potential equilibrium spectrum for the inertial spectrum.
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Vorticity and Turbulence, Alexandre J. Chorin
- Language
- Released
- 2013
- product-detail.submit-box.info.binding
- (Paperback)
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- Title
- Vorticity and Turbulence
- Language
- English
- Authors
- Alexandre J. Chorin
- Publisher
- Springer New York
- Released
- 2013
- Format
- Paperback
- Pages
- 188
- ISBN13
- 9781461264590
- Category
- Mathematics, Nature in general
- Description
- The book explores turbulence theory through the vorticity field, emphasizing its natural fit for incompressible flow. It highlights the historical contributions of Onsager and Joyce and Montgomery to two-dimensional vortex systems, while acknowledging the ongoing challenges in developing a robust three-dimensional theory. The initial chapters provide a foundational overview of homogeneous turbulence, including a detailed review of fluid mechanics and Fourier theory, and discuss Kolmogorov's inertial range theory, suggesting a potential equilibrium spectrum for the inertial spectrum.