Numerical modeling of the constant flux spectra for surface gravity waves in a case of angular anisotropy

✍ Scribed by V.G Polnikov

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 232 KB
• Volume: 33
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(00)00072-x

✦ Synopsis

The process of constant flux spectra formation is studied numerically, for the case of angular anisotropy. The method of investigation is based on a numerical solution of the nonlinear four-wave kinetic equation for gravity waves, added with the terms of a source and a sink for wave energy. Stationary solutions of such an equation are just the constant flux spectra under investigation.

Two principally different situations were considered: the case of a constant energy flux to the high frequencies (the case of "flux up") and the case of a constant wave action flux to the low frequencies (the case of "flux down"). It was found that, for the case of flux down, the stationary two-dimensional spectra are angularly isotropic, independently of the initial anisotropy of the system. But for the case of flux up, the stationary spectra have specific angular anisotropy. For both cases, corresponding one-dimensional spectra have shapes close to ones analytically derived in [Dokl.