Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics

1. Front Matter

   Pages i-xiv

   PDF

2. Introduction to Mechanics of Continua

   Pages 1-50

3. Dynamics of Inviscid Fluids

   Pages 51-132

4. Viscous Incompressible Fluid Dynamics

   Pages 133-195

5. Introduction to Numberical Solutions for Ordinary and Partial Differential Equations

   Pages 197-246

6. Finite-Difference Methods

   Pages 247-344

7. Finite Element and Boundary Element Methods

   Pages 345-396

8. The Finite Volume Method and the Generalized Difference Method

   Pages 397-438

9. Spectral Methods

   Pages 439-482

10. Back Matter

    Pages 483-500

    PDF

The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics). Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD. Many theoreticians and experts in the field have expressed their - terest in and need for such an enterprise. This was the motivation for carrying out our study and writing this book. It contains an important systematic collection of numerical working instruments in Fluid Dyn- ics. Our current approach to CFD started ten years ago when the Univ- sity of Paris XI suggested a collaboration in the field of spectral methods for fluid dynamics. Soon after – preeminently studying the numerical approaches to Navier–Stokes nonlinearities – we completed a number of research projects which we presented at the most important inter- tional conferences in the field, to gratifying appreciation. An important qualitative step in our work was provided by the dev- opment of a computational basis and by access to a number of expert softwares. This fact allowed us to generate effective working programs for most of the problems and examples presented in the book, an - pect which was not taken into account in most similar studies that have already appeared all over the world.

• computational fluid dynamics
• dynamics
• finite element method
• fluid dynamics
• fluid mechanics
• partial differential equation

From the reviews of the first edition:

"The title of the book appropriately reflects its content. … The presentation of the material and the style of writing are suitable for mathematically inclined physicists and engineers. 161 references are provided as sources or for further study … ." (Hendrik Kuhlmann, Zentralblatt MATH, Vol. 1071, 2005)

• Babes-Bolyai University, Cluj-Napoca, Romania

  Titus Petrila, Damian Trif

Policies and ethics