Bragg Scattering of Water Waves by Multiply Composite Artificial Bars

Wave reflection and vortex evolution in Bragg scattering in real fluids

“…Notably, both the numerical and theoretical predictions of Bragg scattering neglect the role of the viscosity; most studies focus on the wave profile transformation of waves propagating over bottom undulations (e.g., Dalrymple and Kirby, 1986;Kirby and Anton, 1990;Hsu et al, 2003;Hsu et al, 2007;Tsai et al, 2011). The level of viscosity, however, can be important and in some situations the numerical results gathered when neglecting its influence fail to describe the real flow interaction process.…”

Long wave reflection from submerged trapezoidal breakwaters

“…Accordingly, the width of a top plane becomes important in designing wave Bragg reflection. Guazzelli et al (1992), and Hsu et al (2003) investigated two combinations of multiply composite bars. They found that the bandwidth of Bragg reflection can be improved using multiply composite bars, and the number of the bars, and spacing between them, are key parameters that lead to optimal and variable Bragg reflection.…”

“…It is interesting to note that in the case with a bottom comprising a superposition of two or more sinusoids with different wave numbers, higher-order harmonic Bragg resonances occur at higher frequencies and subharmonic Bragg resonances occur at low frequency. Guazzelli et al (1992), O'Hare and Davies (1993), Cho and Lee (2000) and Hsu et al (2003) proved the existence of higher-order harmonic and subharmonic Bragg resonances. Hsu et al (2003) used multiply composite artificial bars to obtain high Bragg reflections for engineering purposes.…”

“…Guazzelli et al (1992), O'Hare and Davies (1993), Cho and Lee (2000) and Hsu et al (2003) proved the existence of higher-order harmonic and subharmonic Bragg resonances. Hsu et al (2003) used multiply composite artificial bars to obtain high Bragg reflections for engineering purposes.…”

Viscous numerical wave tank for Bragg resonance by cnoidal and Stokes waves

“…Hsu et al (2007) used a second-order fully non-linear Boussinesq type model to explore Bragg reflection of irregular waves. Tsai, Kuo, Lan, Hsu, and Chen (2011) investigated the Bragg scattering of multiply composite artificial bars and validated their results by using the EEMSE model (Hsu, Tsai, & Huang, 2003). However, linear theoretical and numerical predictions are limited to the potential assumptions used.…”