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Numerical Comparison for Focused Wave Propagation Between the Fully Nonlinear Potential Flow and the Viscous Fluid Flow Models

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Abstract

Numerical simulations on focused wave propagation are carried out by using three types of numerical models, including the linear potential flow, the nonlinear potential flow and the viscous fluid flow models. The wave—wave interaction of the focused wave group with different frequency bands and input wave amplitudes is examined, by which the influence of free surface nonlinearity and fluid viscosity on the related phenomenon of focused wave is investigated. The significant influence of free surface nonlinearity on the characteristics of focused wave can be observed, including the increased focused wave crest, delayed focused time and downstream shift of focused position with the increase of input amplitude. It can plot the evident difference between the results of the nonlinear potential flow and linear potential flow models. However, only a little discrepancy between the nonlinear potential flow and viscous fluid flow models can be observed, implying the insignificant effect of fluid viscosity on focused wave behavior. Therefore, the nonlinear potential flow model is recommended for simulating the non-breaking focused wave problem in this study.

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Acknowledgment

The first author gratefully acknowledges the Supercomputer Center of Dalian University of Technology for providing computing resources.

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Authors and Affiliations

  1. School of Naval Architecture, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Sheng-chao Jiang & Lei Sun

  2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China

    Sheng-chao Jiang

  3. College of Ocean and Civil Engineering, Dalian Ocean University, Dalian, 116023, China

    Chang-feng Liu

Authors
  1. Sheng-chao Jiang
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  2. Chang-feng Liu
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  3. Lei Sun
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Correspondence to Lei Sun.

Additional information

Foundation item: This work was financially supported by the National Natural Science Foundation of China (Grant Nos. 51909027 and 51679035), the Project of Educational Commission of Liaoning Province (Grant No. L201601), the High-Level Innovation and Entrepreneurship Team of Liaoning Province (Grant No. XLYC1908027), and the Fundamental Research Funds for the Central Universities (Grant No. DUT2017TB05).

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Jiang, Sc., Liu, Cf. & Sun, L. Numerical Comparison for Focused Wave Propagation Between the Fully Nonlinear Potential Flow and the Viscous Fluid Flow Models. China Ocean Eng 34, 279–288 (2020). https://doi.org/10.1007/s13344-020-0026-4

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  • DOI: https://doi.org/10.1007/s13344-020-0026-4

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