Fundamental Algorithms in Computational Fluid Dynamics

Thomas H. Pulliam NASA Ames Research Center Moffett Field, CA 94035 Mountain View, USA David W. Zingg Institute for Aerospace Studies University of Toronto 35 St. George Street Toronto, Ontario, M5S 1A4.

• Introduction.- Background.- Overview and Roadmap.- Fundamentals.- Model Equations.- Finite-Difference Methods.- The Semi-Discrete Approach.- Finite-Volume Methods.- Numerical Dissipation and Upwind Schemes.- Time-Marching Methods for ODEs.- Stability Analysis.- Governing Equations.- The Euler and Navier-Stokes Equations.- The Reynolds-Averaged Navier-Stokes Equations.

"The text is supplemented with illustrative exercises that serve to reinforce concepts and methods of treating such problems and to discuss some techniques related to the discretization of equations and treatment, and formulating and solving them. If the book was intended to be used as a text book, its objectives have been largely achieved ... . This is a book that can lend important help to those working in the subject." (Melio Saenz, Research Gate, researchgate.net, June, 2016)