Ebook: Computational Techniques for Fluid Dynamics 1: Fundamental and General Techniques

From the reviews
"In summary, a book of considerable utlity both in the classroom and as a reference volume ... Fletcher's book is sure to become an invaluable tool for student and researcher alike, and a trusted introduction and guide to the rapidly evolving field of CFD."
(H. Aref in: Journal of Fluid Mechanics)

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This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics.
Volume 1 systematically develops fundamental computational techniques, partial differential equations including convergence, stability and consistency and equation solution methods. A unified treatment of finite difference, finite element, finite volume and spectral methods, as alternative means of discretion, is emphasized. For the second edition the author also compiled a separately available manual of solutions to the many exercises to be found in the main text.

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This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics.
Volume 1 systematically develops fundamental computational techniques, partial differential equations including convergence, stability and consistency and equation solution methods. A unified treatment of finite difference, finite element, finite volume and spectral methods, as alternative means of discretion, is emphasized. For the second edition the author also compiled a separately available manual of solutions to the many exercises to be found in the main text.
Content:
Front Matter....Pages I-XIII
Computational Fluid Dynamics: An Introduction....Pages 1-16
Partial Differential Equations....Pages 17-46
Preliminary Computational Techniques....Pages 47-72
Theoretical Background....Pages 73-97
Weighted Residual Methods....Pages 98-162
Steady Problems....Pages 163-215
One-Dimensional Diffusion Equation....Pages 216-248
Multidimensional Diffusion Equation....Pages 249-275
Linear Convection-Dominated Problems....Pages 276-330
Nonlinear Convection-Dominated Problems....Pages 331-374
Back Matter....Pages 375-401

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This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics.
Volume 1 systematically develops fundamental computational techniques, partial differential equations including convergence, stability and consistency and equation solution methods. A unified treatment of finite difference, finite element, finite volume and spectral methods, as alternative means of discretion, is emphasized. For the second edition the author also compiled a separately available manual of solutions to the many exercises to be found in the main text.
Content:
Front Matter....Pages I-XIII
Computational Fluid Dynamics: An Introduction....Pages 1-16
Partial Differential Equations....Pages 17-46
Preliminary Computational Techniques....Pages 47-72
Theoretical Background....Pages 73-97
Weighted Residual Methods....Pages 98-162
Steady Problems....Pages 163-215
One-Dimensional Diffusion Equation....Pages 216-248
Multidimensional Diffusion Equation....Pages 249-275
Linear Convection-Dominated Problems....Pages 276-330
Nonlinear Convection-Dominated Problems....Pages 331-374
Back Matter....Pages 375-401
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