Satria, M.T. et al. (2012) GPU acceleration of tsunami propagation model

Solve the Navier Stokes Shallow water equation (Saint-Venant equations) in 2D by a MacCormack scheme using a CUDA C code applying actual approaches to improve the performance.

Is a good reference to start a CUDA code because has the principal optimizations.

Chaudhry, H. (2008) Open-Channel Flow

Typos:

1. Equation (7-23) is not correct. The correct equation is: \Theta = \frac{\Sqrt{Fr^2-1}}{3 Fr}+1/3 \tan^{-1} \left( frac{1}{ \Sqrt{Fr^2-1} }\right)
2. Equation (8-13). The second row is H=F- \nu f'( \epsilon ) E.
3. Equation (14-14). The first term after the equality is V^k_{i-1}.
4. Eq. (14-48). After the 3erd term of the left hand side (V^2 A) is necesary sum g A \row(y).
5. Eq. (14-61). In the fourth row, the last term should be: 1/3! \frac{\partial^3 y}{\partial x^3}(\Delta x)^3.
6. Eq (14-62) The last term must be multiplied by g.
7. Pag. 413. The equation at the end of the first line should be: sin \varphi = \sqrt{1-sin \alpha_x sin \alpha _y}
8. Eq. (16-83) insted of C_F should be k_s.
9. Pag. 485 line 8. instead of Ea. 17-10 should be 17-8.
10. Pag. 487. in multiple entries instead of 17-9 should be 17-19
11. Pag. 497. There are multiple references to equations that should be corrected. 

Kerger,F. (2012) Three-phase bi-layer model for simulating mixed flows

" To simulate air-entrapment and air-entrainment in transient mixed flow, this research establishes an original bi-layer three-phase mathematical model (section 2), which is then discretized  to develop the original computational code WOLF IMPack (section 3). In section 4, the validity and applicability of this module are asssessed by comparison with experimental, analytical, and numerical results."

This approach use 2 equations (continuity and momentum)  for the inferior mix water-air layer and 2 equations (continuity and momentum) for the superior air layer and 1 equation of diffusion of the air inside the  mix water-air layer. These 5 equations are solved by a finite volume method.

The applications show a good accuracy.