β Scribed by Roger Peyret, Thomas D. Taylor (auth.)
No coin nor oath required. For personal study only.
Front Matter....Pages i-x
Front Matter....Pages 1-1
Introduction and General Equations....Pages 3-17
Finite-Difference Methods....Pages 18-78
Integral and Spectral Methods....Pages 79-119
Relationship Between Numerical Approaches....Pages 120-124
Specialized Methods....Pages 125-139
Front Matter....Pages 141-142
Finite-Difference Solution of the Navier-Stokes Equations....Pages 143-215
Finite-Element Methods Applied to Incompressible Flows....Pages 216-227
Spectral-Method Solutions for Incompressible Flows....Pages 228-247
Turbulent-Flow Models and Calculations....Pages 248-261
Front Matter....Pages 263-266
Inviscid Compressible Flows....Pages 267-309
Viscous Compressible Flows....Pages 310-340
Concluding Remarks....Pages 341-341
Back Matter....Pages 343-358
Fluid- and Aerodynamics;Mathematical Methods in Physics;Numerical and Computational Physics
π SIMILAR VOLUMES
<P><P>1. Overview of CFD. 2. Governing Equations and Classification of PDE. 3. Finite Difference Method -- Fundamentals. 4. Finite Difference Methods -- Application. 5. Finite Volume Method. 6. Solution of Incompressible Navier-Stokes Equations. 7. Finite Volume Method for Complex Geometries.
High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in comple