Incompressible Flow and the Finite Element Method, 2 Volume Set

P. M. Gresho is the author of Incompressible Flow and the Finite Element Method, 2 Volume Set, published by Wiley. R. L. Sani is the author of Incompressible Flow and the Finite Element Method, 2 Volume Set, published by Wiley.

• 1. Glossary of Abbreviations 2. Preface and Introduction 3. The Navier-Stokes Equations Notational Introduction The Continuum Equations Alternate Forms of the Viscous Term Alternate Forms of the Non-Linear Term Derived Equations Alternate Statements of the NS Equations Special Cases of Interest Boundary Conditions Initial Conditions (and Well-Posedness) Interim Summary Global Conservation Laws Weak Form of the PDEhod Variational Principles for Potential and Stokes Flow Solution Methods for the Semi_Discretized Time-Dependent (and Steady) Equations Aliasing and Aliasing Instability, Linear and Non-Linear A New Look at Two Old Finite Difference Methods Numerical Example Closure: Some Additional Remarks on the Pressure 4. Derived Quantities Introduction Two Dimensions Three Dimensions Appendix 1 Some Element Matrix Appendix 2 Further Comparison of Finite Elements and Finite Volumes Appendix 3 Projections, Orthagonal and Not and Projection Methods References Author Index Subject Index

"The book covers the subject in a complete and excellent way, and is most recommended to everybody in this research area. Moreover, the book is written in an interesting, well-organized and very readable way, and approaches the various subjects both by "looking from above" and by going into the details. Sometimes, it also touches on some slightly controversial subjects, which adds flaour to the book." --Dan Givoli, Editor, IACMM Newsletter