Using RANS to simulate vortex generation and dissipation around impermeable submerged double breakwaters

Wave reflection and vortex evolution in Bragg scattering in real fluids

“…However, only cases in which the wavelength of ripples is smaller than that of incident waves with a partial Bragg scattering were studied. A twodimensional (2D) Reynolds-averaged Navier-Stokes (RANS) model was implemented by Hsu et al (2004) to explore the interaction of periodic waves and impermeable submerged double breakwaters under non-breaking wave conditions. Their study briefly addressed the flow physics and vortex evolution around breakwaters with a detailed verification of the numerical model with existing analytical solutions and laboratory data.…”

Study of water waves with submerged obstacles using a vortex method with Helmholtz decomposition

“…Figure 18 shows the comparisons of the velocity field at different phases between the numerical results and the laboratory measurements and indicates that the present method captures the flow patterns reasonably well. In order to compare the present results with those by a grid-based scheme, in Figure 19 we show the velocity fields presented by Hsu et al [18], who simulated the same experiment using a finite-analytic method to solve the RANS equations with the k-turbulence Figure 17. Vorticity contours and free-surface profiles at different phases for periodic waves passing a submerged rectangular obstacle.…”

“…Owing to this reason, numerous numerical schemes for solving free-surface flow with viscous effects have been developed. Many researchers have studied this problem by solving the Navier-Stokes equations for laminar flows or the Reynolds averaged Navier-Stokes equations with turbulence closure for turbulent flows using various numerical schemes such as finite difference methods [12,13], finite-analytic methods [14,15], finite volume methods [16][17][18] and finite element methods [19][20][21]. These numerical methods are all grid-based schemes.…”

A Numerical Simulation on Three-Dimensional Hydrodynamic Characteristics of Wave Height and Flow around Asymmetric Submerged Breakwaters

“…) 및 수치모형실험 (Garcia et al, 2004;Hsu et al, 2004;허동수와 김도삼, 2003;조원철, 2006;Jeon and Cho, 2006;허동수와 최동석, 2008;Hur et al, 2008) 과 연직(수심방향)으로 적분한 평면 2차원 수치모델을 이용하여 이루어져왔다 (Drei and Lamberti, 1999;Yamashiro et al, 1999;Kriezi et al, 1999;Gironella and Sanchez-Arcilla, 1999). 근래 에는 잠제 설치 후에 발생하는 개구부의 세굴 및 잠제 배후의 침식 등의 문제점에 대처하기 위하여 3차원 수리모형실험 (Hur, 2004;Kramer et al, 2005)과 다양한 수치모델을 이용한 수치모 형실험 (Johnson et al, 2005;Johnson, 2006 (Sakakiyama and Kajima, 1992), 층류 (Ergun, 1952;van Gent, 1995), 난류(van Gent, 1995;Liu and Masliyah, 1999) …”