Principles of Computational Fluid Dynamics [1 ed.] 9783540678533, 3540678530 [PDF]

Table of contents :
table of contents......Page 6
1. the basic equations of fluid dyanamics......Page 10
partial differential equations analytic aspects......Page 62
3. finite volume and finite difference discretization on nonuniform grids......Page 90
4. the stationary convection-diffusion equations......Page 119
5.the nonstationary convection diffusion equations......Page 170
6 the incompressible Navier-Stoles equations......Page 234
7 iterative methods......Page 270
8.the shallow water equations......Page 311
9.Scalar conservations laws......Page 345
10.the euler equatons in one space dimension......Page 403
11.discretization in general domains......Page 473
12.numerical solution of the euler quations in general domains......Page 509
13. numerical solution of Navier-Stokes equations in general domains......Page 537
14.unified methods for computing incompressible and compressible flow......Page 573