Errata for
PRINCIPLES OF COMPUTATIONAL FLUID DYNAMICS
P. Wesseling Delft University of Technology
Springer, Heidelberg, 2000. XII, 642 p. ISBN 3-540-67853-0
(Springer Series in Computational Mathematics, Vol.29)

Note: below, $symbols denote mathematical notation environment as in Latex. Page 17, equation (1.34): replace$p_{,\alpha}$by$\frac{1}{rho}p_{,\alpha}$Page 18, line 3: replace intesting by interesting Page 62, line 6: replace right-hand-side by right-hand side Page 69, equation (2.35): replace$=a,$by$=s,$Page73, line 6: replace (t,x) by (t,x_1) Page 81, first line of Sect. 3.1: replace rigious by regions Page 112, in Neumann and Robin conditions: replace$k$by$D$Page 112, line -10: replace parabolic methods by parabolic equations Page 113, line 16: replace One-dimensional case, central approximation by One-dimensional case Page 116, line 13: replace$x<1$by$x>0$Page 135, line 2: replace$u^2$by$u_2$Page 136, line 15: replace$=$by$\cong$Page 150, line -7: replace ever though by even though Page 155, line 2: replace ...following form: by ...following form, following Spekreijse (1987): [Spekreijse, S.P. (1987). Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws. Math. Comp. 49, 135-155] Page 159, third equation: replace$(f,($by$(f_1($Page 166, equation (5.11): replace the last two instances of$\varphi$by$q$. Page 168, lines 3 and 10: replace such that by such that for arbitrary$\delta^0$Page 178, equation before equation (5.45): replace$c^4$by$c_{\alpha}^4$Page 179, first equation: replace = by <= Page 182, eqs. (5.61), (5.62) and (5.63): replace$(\sum$by$\sum ($Page 182, after eq. (5.62), in formula for$\tilde{q}_1$, replace$(\frac{5+\sqrt{10}}{12})$by$(\frac{5+\sqrt{10}}{12})^{1/3}$Page 219, first line: replace$yn$by$y^n$Page 234, line 10: delete character 2 at beginning of this line Page 252, line 11: replace ponts by points Page 252, line -10: replace rhe by the Page 257, line 7: replace$(\sum_{\alpha} u^4_{\alpha}/h^2_{alpha})^{-1/3}$by$/ \sum_{\alpha} (u^4_{\alpha}/h^2_{alpha})^{1/3}$Page 266, in definition 7.2.2, replace$i \not= i$by$i \not= j$Page 277, in algorithm Preconditioned GMRES method: insert the following statement after$h_{kj} = (v^k,w);$:$w = w - h_{kj}v^k);$Page 282, equation (7.31): delete:$\tilde{y} = C^{-T},$Page 284, last line: replace$y = C^{-1}\tilde{y}$by$y = C\tilde{y}$Page 285, line 5: replace a by A Page 296, line 4: replace inamely by namely Page 317, after equation (8.36): replace = by \leq (less or equal) Page 363, first equation, replace first occurrence of$f$by$\phi$Page 382, line 16: delete: Riemann!approximate solver Page 385, line -14: replace$a_j$and$\varphi_j$by$a_j$and$b_j$Page 429, line -9: replace$=c_1/c_0\equiv\alpha$by$ = (c_1/c_0)(p_0/p_1)^{(\gamma -1)/(2\gamma)}\equiv\alpha$Page 459 The van Albada limiter corresponds to$\kappa = 0$and not to$\kappa = 1/2$, see Sect. 4.8. Therefore line 21 and equation (10.108) should be replaced by: This gives, with$\kappa = 0,\lambda < \lambda_1 = 0.9/\bar{\mu}.$Page 466: According to the erratum for page 458, Table 10.4 should be redone for$\kappa = 0: \lambda_1 = 0.9/\bar{\mu}.$Page 579, line 13: replace$\varepsilon$-dependent time by$\sqrt{\varepsilon}$-dependent time Page 591, last line of equation (14.36): add the following term to the right-hand side:$ - \lambda T_{j}^{n} [(1-s^{n})m^{*}] |_{j-1/2}^{j+1/2}\$