Internal generation of waves for time-dependent mild-slope equations

Lee, Chang‐Hoon; Suh, Kyung-Duck

doi:10.1016/s0378-3839(98)00012-x

Cited by 65 publications

(39 citation statements)

References 14 publications

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“…For the generation of random waves, the peak frequency is used as a carrier frequency in Eqs. (3) and (4) (Lee and Suh, 1998) as the peak frequency is usually lower than the weight-averaged frequency and as the dispersion relation of the model of Radder and Dingemans is more accurate in the high frequency range (Lee et al, 2003).…”

Section: Mild-slope Wave Propagation Model Mildwavementioning

confidence: 98%

“…by adding an additional surface elevation η ⁎ to the calculated value on a wave generation line for each time step (Lee and Suh, 1998) given by Eq. (5):…”

Section: Mild-slope Wave Propagation Model Mildwavementioning

confidence: 99%

“…A slow start of wave generation is obtained by multiplying the wave generation by tanh 0:5t Suh et al, 2001), with the carrier wave period T À . It has been proven that the model of Radder and Dingemans (1985) can be used to simulate the transformation of uni-and multidirectional random waves (Lee and Suh, 1998). For the generation of random waves, the peak frequency is used as a carrier frequency in Eqs.…”

Section: Mild-slope Wave Propagation Model Mildwavementioning

confidence: 99%

See 2 more Smart Citations

Numerical implementation and sensitivity analysis of a wave energy converter in a time-dependent mild-slope equation model

Beels

Troch

Backer

et al. 2010

Coastal Engineering

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Section: Mild-slope Wave Propagation Model Mildwavementioning

confidence: 98%

“…by adding an additional surface elevation η ⁎ to the calculated value on a wave generation line for each time step (Lee and Suh, 1998) given by Eq. (5):…”

Section: Mild-slope Wave Propagation Model Mildwavementioning

confidence: 99%

Section: Mild-slope Wave Propagation Model Mildwavementioning

confidence: 99%

See 1 more Smart Citation

Numerical implementation and sensitivity analysis of a wave energy converter in a time-dependent mild-slope equation model

Beels

Troch

Backer

et al. 2010

Coastal Engineering

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“…이러한 문제점을 해 결하기 위해 내부조파기법이 개발되었으며, 자유수면변 위를 변수로 사용하는 모형의 경우 그 연구가 매우 활발 하게 진행되어 왔다 (Lee and Suh, 1998;Lee et al, 2001). 그러나 자유수면변위를 변수로 사용하지 않는 NavierStokes 방정식 모형의 경우 2차원 모형에 비해 상대적으 로 연구가 미흡하였다.…”

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Improvement of Wave Generation for SWASH Model Using Relaxation Method

Shin¹,

Yoon²

2017

J Korean Soc Coast Ocean Eng

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A numerical modeling has become increasingly popular and more important to the study of water waves with a rapid advancement of computer technology. However, different types of problems are induced during simulating wave motion. One of the key problems is re-reflection to a computation domain at the incident boundary. The internal wave generating-absorbing boundary conditions have been commonly used in numerical wave models to prevent re-reflection. For the Navier-Stokes equations model, the internal wave maker using a mass source function of the continuity equation has been used to generate various types of waves. Nonetheless, almost every numerical experiment is performed in two dimensions and only a few tests have been expanded to three dimensions. More recently, a momentum source function of the Boussinesq equations is applied to generate essentially directional waves in the three dimensional Navier-Stokes equations model. In this study, the internal wave maker using a momentum source function is employed to generate targeted linear waves in the three-dimensional LES model.

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“…In their method, the free surface undulation was not induced by the wave paddle but created by using an artificial mass source term derived from the mass conservation principle. Lee and Suh (1998) developed a similar approach based on the mild slope equations and investigated the mass and energy transports of the generated wave. Furthermore, Lin and Liu (1999) proposed an internal wave generator following the mass conservation in Navier-Stokes (NS) equations and different types of the waves were generated by using this mass source function.…”

Section: Introductionmentioning

confidence: 99%

ISPH wave simulation by using an internal wave maker

Liu

Lin

Shao

2015

Coastal Engineering

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In this paper, a non-reflection internal wave maker algorithm is included in the incompressible Smoothed Particle Hydrodynamics (ISPH) model for the wave simulations. A momentum source term derived from the Boussinesq equations is employed and added into the Lagrangian form of Navier-Stokes equations for the wave generations that are not affected by the reflected waves. In this work, the technical details of implementing the internal force into the ISPH equations are proposed and a series of numerical tests are carried out for the selection of relevant parameters and investigation of their sensitivities in different wave conditions. In model applications, the problems of wave propagation and reflection from a vertical wall are studied to verify the model performance in standing wave generations and the non-reflection characteristics of the internal wave maker. Furthermore, a more challenging wave decomposition process over a trap-* Corresponding author, Tel.: +86 028-85406172; Fax: +86 028-85405148 E-mail address: cvelinpz@126.com ezoid breakwater is presented, which has not been fully investigated by other similar particle-based methods. The simulation results of wave surface profile on six wave gauges agree well with the experimental results and this shows that the present model with the non-reflection internal wave maker can provide a more robust particle modeling tool for the long time simulation of wave and wave-structure interactions.

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Internal generation of waves for time-dependent mild-slope equations

Cited by 65 publications

References 14 publications

Numerical implementation and sensitivity analysis of a wave energy converter in a time-dependent mild-slope equation model

Numerical implementation and sensitivity analysis of a wave energy converter in a time-dependent mild-slope equation model

Improvement of Wave Generation for SWASH Model Using Relaxation Method

ISPH wave simulation by using an internal wave maker

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