Computational Fluid Mechanics and Heat Transfer, Second EditionThis comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter. |
Contents
PARTIAL DIFFERENTIAL EQUATIONS | 15 |
6 | 40 |
2 | 46 |
4 | 58 |
5 | 76 |
6 | 83 |
SELECTED MODEL EQUATIONS | 101 |
6 | 234 |
15 | 475 |
4 | 478 |
5 | 496 |
19 | 506 |
776 | 508 |
22 | 512 |
26 | 525 |
32 | 535 |
Application of Numerical Methods to | 247 |
2 | 263 |
3 | 285 |
5 | 321 |
6 | 329 |
7 | 342 |
NUMERICAL METHODS FOR INVISCID FLOW | 351 |
Nonlinear Systems of Equations | 361 |
4 | 375 |
65 | 386 |
6 | 398 |
8 | 413 |
10 | 431 |
3 | 443 |
3 | 468 |
Common terms and phrases
algebraic equations algorithm amplification factor applied approximation Ax)² boundary conditions boundary-layer equations Burgers equation calculation cell characteristic coefficients components computed conservation constant continuity equation control volume convergence Crank-Nicolson derivatives determined developed difference equation differencing domain eigenvalues energy equation Euler equations evaluated exact solution example explicit expression Figure finite-difference finite-volume first-order fluid flux function Gauss-Seidel given by Eq grid points heat equation hyperbolic implicit method implicit scheme incompressible incompressible flow integral iterative Laplace's equation Lax-Wendroff Lax-Wendroff method layer linear matrix mesh modified equation momentum equation multigrid Navier-Stokes equations nonlinear obtained Pletcher Prob problem procedure region Reynolds number second-order Section shock wave shown in Fig solve stability step streamwise supersonic surface system of equations Taylor-series temperature Thomas algorithm transformation tridiagonal turbulence models turbulent flow u₁ Uj+1 upwind values vector velocity viscosity wave equation written zero Δε ди др
Popular passages
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