The propagation of the wave surface of the water (water surface wave propagation) can be modeled by doing numerical modeling. Surface wave propagation is usually modeled using equations of momentum and continuity equations in 2 dimensions. Equation 2 (two) this dimension typically use a different approach was approached to, element to. A different method of approach to to 2 dimensions it is easier to use a different approach to the explicit and tough when approached with the implicit approach to difference to. The implicit approach is usually used for the difference up to 1 (one) model dimensions. For 2 dimensions if you want to forced approached with implicit method can but only implicit difference method approach to, so not the same as the implicit approach to 1 (one) dimensions.
The approach of implicit methods are better than explicit because numerical stability program better than the explicit difference method approach to.
Now it has developed approaches to differential equations by using a method of Fast Fourier Transform (FFT). However, the programs tend to run slower than using explicit and implicit difference approximation to.
In the Department of Civil Engineering, Engineering Faculty, University of Lampung, Indonesia, has already developed various numerical program to simulate the propagation of surface wave 2 (two) dimensions by using different types of wave equation as used by Goto and Ogawa (1992) to simulate the propagation of tsunami waves. Tsunami wave equation used by Kowalik (1993), the Boussinesq Equations (2005), some other equation and the equation of the hyperbola 2-d. All these equations are modeled, both to simulate a single wave propagation, such as the tsunami wave as well as to model the propagation of a wave of traveler through the breakwater and the breakwater sank.
Video simulation of propagation of wave surface can be seen as follows:
1. hyper_2-xj (using the equation of a hyperbola reverse order)
2. hyper_3-xj (using the equation of a hyperbola) mp4
3. hyper_4-xj (using the equation of a hyperbola)
4. hyper_5-xj (using the equation of a hyperbola)
5. hyper_6-xj (using the equation of a hyperbola)
6. hyper_7-xj (using the equation of a hyperbola)
7. shmod_1-xj (using simple hydrodinamik model)
8. lwave_1b-xj (using long wave equation, Goto and Ogawa, 1992)
9. lwave_1c-xj (using long wave equation, Goto and Ogawa, 1992)
10. lwave_1d-xj (using long wave equation, Goto and Ogawa, 1992)
11. nlsw_1a-xj (using long wave equation, Kowalik, 1993)
12. nlsw1-xj (using long wave equation, Kowalik, 1993)
13. nlsw_2-xj (using long wave equation, Kowalik, 1993)
14. nlsw1p_1-xj (using long wave equation, Kowalik, 1993)
15. bouss_1-xj (use the Boussinesq Model, Shigihara, 2005)
16. bouss_2-xj (use the Boussinesq Model, Shigihara, 2005)
17. scen-a-xj (the propagation of waves through the obstacles of the right and left)
18. scen-b-xj (the propagation of waves through obstacles left)
19. tsunami3b-xj (the propagation of tsunami waves caused Krakatoa explosion)
20. breakwater (the propagation of waves through the breakwater)
21. diffraction_breakwater-xj (the propagation of waves through the breakwater)
22. wave_refraction-xj (the propagation of waves through the breakwater)
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