Complete Second-Order Solution for Water Waves Generated in Wave Flumes

Sulisz, Wojciech; Hudspeth, Robert T.

doi:10.1006/jfls.1993.1016

Cited by 41 publications

(22 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The curves shown in figure 3 are also in close agreement with the theory derived by Sulisz & Hudspeth (1993). In the case of a bottom hinged wave machine (d/h = 0) the spurious wave may be as large as the Stokes second-order content and peaks at h/L 0 ≈ 0.15.…”

Section: Second-order Solutionsupporting

confidence: 85%

“…This has been discussed extensively (Flick & Guza (1980), Sulisz & Hudspeth (1993), van Leeuwen & Klopman (1996), Schäffer (1996) and Zaman & Mak (2007)) and will not be repeated herein. Indeed, throughout this paper the notation and solution as presented by Schäffer (1996) will be adopted.…”

Section: Hydrodynamic Feedbackmentioning

confidence: 99%

“…Second-order effects such as long waves in laboratory models have been discussed by Ottesen-Hansen et al (1980), Sand (1982) and Sand & Donslund (1985). In addition, Flick & Guza (1980) and Sulisz & Hudspeth (1993) addressed the effects of spurious superharmonic waves. In seeking an explanation of these effects, Schäffer (1996) derived a complete mathematical model for position-controlled wave makers including the sub-and superharmonic effects arising at second-order.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Second-order wave maker theory using force-feedback control. Part I: A new theory for regular wave generation

Spinneken

Swan

2009

Ocean Engineering

View full text Add to dashboard Cite

Second-order wave maker theory has long been established; the most extensive and detailed approach given by Schäffer (1996). However, all existing theories assume the wave paddle is driven by a positionfeedback motion controller. Early research in the wave power field led to the design of a force-controlled absorbing wave machine (Salter 1982). In addition to operating as an excellent absorber, this machine seemed to introduce very little spurious harmonic content when driven with a first-order command signal. The present paper provides a mathematical model for the operation of wave makers using force-feedback control and seeks to explain this apparent advantage. The model is developed to second-order so that a command signal compensating for the remaining spurious wave is also provided. Due to the complexity of the problem, the model has been limited to flap-type wave machines and the generation of regular waves. A variety of numerical tests in force-control mode have been conducted, indicating that the spurious wave content is greatly reduced when compared to the position-control mode. A separate experimental study validating the theory is presented in a part II paper by the same authors.

show abstract

Section: Second-order Solutionsupporting

confidence: 85%

Section: Hydrodynamic Feedbackmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Second-order wave maker theory using force-feedback control. Part I: A new theory for regular wave generation

Spinneken

Swan

2009

Ocean Engineering

View full text Add to dashboard Cite

show abstract

“…Flick and Guza, 1980;Schäffer, 1996;Sulisz and Hudspeth, 1993). Throughout this paper the notation of Schäffer (1996) will be employed to describe the induced waves in the physical field Ω 2 .…”

Section: Induced Waves In Physical Field ωmentioning

confidence: 99%

“…Hudspeth and Sulisz (1991) derived the complete second-order Eulerian theory for waves generated by a monochromatic wave paddle motion with special emphasis on Stokes drift and return flow in wave flumes. In addition, Flick and Guza (1980) and Sulisz and Hudspeth (1993) addressed the effects of spurious super-harmonic waves. In seeking an explanation of these effects, Schäffer (1996) derived a complete second-order model including both sub-and super-harmonics.…”

Section: Introductionmentioning

confidence: 99%

Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation

Yang

Liu

Bingham

et al. 2013

Coastal Engineering

View full text Add to dashboard Cite

a b s t r a c t a r t i c l e i n f oA full second-order theory for coupling numerical and physical wave tanks is presented. The ad hoc unified wave generation approach developed by Zhang et al. [Zhang, H., Schäffer, H.A., Jakobsen, K.P., 2007. Deterministic combination of numerical and physical coastal wave models. Coast. Eng. 54, 171-186] is extended to include the second-order dispersive correction. The new formulation is presented in a unified form that includes both progressive and evanescent modes and covers wavemaker configurations of the piston-and flap-type. The second order paddle stroke correction allows for improved nonlinear wave generation in the physical wave tank based on target numerical solutions. The performance and efficiency of the new model is first evaluated theoretically based on second order Stokes waves. Due to the complexity of the problem, the proposed method has been truncated at 2D and the treatment of regular waves, and the re-reflection control on the wave paddle is also not included. In order to validate the solution methodology further, a series of nonlinear, periodic waves based on stream function theory are generated in a physical wave tank using a piston-type wavemaker. These experiments show that the new second-order coupling theory provides an improvement in the quality of nonlinear wave generation when compared to existing techniques.

show abstract

Second-Order Waves in a Three-Dimensional Wave Basin With Perfectly Reflecting Sidewalls

Williams

2000

Journal of Fluids and Structures

View full text Add to dashboard Cite

Complete Second-Order Solution for Water Waves Generated in Wave Flumes

Cited by 41 publications

References 0 publications

Second-order wave maker theory using force-feedback control. Part I: A new theory for regular wave generation

Second-order wave maker theory using force-feedback control. Part I: A new theory for regular wave generation

Second-order theory for coupling 2D numerical and physical wave tanks: Derivation, evaluation and experimental validation

Second-Order Waves in a Three-Dimensional Wave Basin With Perfectly Reflecting Sidewalls

Contact Info

Product

Resources

About