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Implementacija i validacija spektralne valne metode viših redova za numeričke simulacije površinskih valova (CROSBI ID 402436)

Ocjenski rad | diplomski rad

Gatin, Inno Implementacija i validacija spektralne valne metode viših redova za numeričke simulacije površinskih valova / Jasak, Hrvoje (mentor); Zagreb, Fakultet strojarstva i brodogradnje, . 2015

Podaci o odgovornosti

Gatin, Inno

Jasak, Hrvoje

hrvatski

Implementacija i validacija spektralne valne metode viših redova za numeričke simulacije površinskih valova

In this work Higher Order Spectral (HOS) method for three–dimensional nonlinear water wave propagation is implemented and validated. Implementation is conducted in a specialised Computational Fluid Dynamics (CFD) open–source software OpenFOAM. HOS is a pseudo–spectral method for solving nonlinear differential equations, which describe free surface wave phenomena. The pseudo–spectral approach enables fast calculation of surface wave problem with arbitrary number of wave components. The order of nonlinearity of the HOS calculation is arbitrary, making this method highly flexible. Multiple wave components, or harmonics, can reproduce a realistic sea state. The problem is divided into a spectral and a physical part, where the projection between the spectral and physical space is performed via Fourier transforms. Large number of wave components may be used due to high efficiency of the FFT algorithm. Mathematical model of the HOS method is outlined and its numerical model is shown in detail. The reason for implementation of HOS method is its coupling with high–fidelity CFD simulations regarding wave–structure interaction. The capability of low–cost, long time evolution of input spectra can be used to obtain realistic freak waves. Validity of the implemented algorithm is verified on three test cases. The first test case consists of nonlinear propagation of a monochromatic wave using HOS compared with the analytical solution. The second test case demonstrates the ability of accurate wave spectrum propagation by comparing the result with viscous two–phase simulation. In the third test case emergence of Benjamin–Feir instabilities in monochromatic wave train is observed. Finally, CFD simulations of extreme wave are presented. Extreme wave is initialized using HOS solution.

spektralna metoda viših redova ; nelinearni površinski valovi ; računalna dinamika fluida

nije evidentirano

engleski

Analysis and Implementation of the Harmonic Balance Method in Computational Fluid Dynamics

nije evidentirano

higher order spectral method ; nonlinear surface wave propagation ; computational fluid dynamics

nije evidentirano

Podaci o izdanju

62

15.07.2015.

obranjeno

Podaci o ustanovi koja je dodijelila akademski stupanj

Fakultet strojarstva i brodogradnje

Zagreb

Povezanost rada

Brodogradnja