Modeling of wave overtopping on vertical structures with the HLLS Riemann solver

Wesley, Matthew J.; Cheung, Kwok Fai

doi:10.1016/j.coastaleng.2016.02.002

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Modeling of wave overtopping on vertical structures with the HLLS Riemann solver

2016
By Wesley, Matthew J. ; Cheung, Kwok Fai
Source: Coastal Engineering, 112, 28-43

[PDF-2.42 MB]

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Journal Title:

Coastal Engineering
Personal Author:

Wesley, Matthew J. ; Cheung, Kwok Fai

Wesley, Matthew J. ; Cheung, Kwok Fai Less -
NOAA Program & Office:

NWS (National Weather Service)
Description:

Depth-integrated wave models are commonly used in coastal engineering design and studies of near-shore processes, but the results might be unstable or questionable when overtopping of vertical structures is involved. The HLLS Riemann solver presented by Murillo and Garcia-Navarro (2012, Journal of Computational Physics) can account for shallow-water flow across a bottom step. We implement this solver in a second-order MUSCL-Hancock scheme and explore its use to describe overtopping of vertical structures through a nonlinear shallow-water model in one dimension. A series of numerical tests based on the Riemann problem assesses the characteristic approximation of the flow resulting from two-dimensional processes at the step. The model gives good agreement with simulations from OpenFOAM (an open-source computational fluid dynamics code) for rarefaction and surge and qualitative description for reflection at the step and shock waves generated by free fall of water. A laboratory experiment was conducted in a 9.14 m long flume to provide validation data for solitary wave overtopping of a vertical structure. Consistent with the numerical tests, the model produces slightly larger reflected waves from the structure and underestimates the amplitude and speed of the downstream waves generated by overtopping. Despite its simplicity, the HLLS solver performs reasonably well in approximating the overall processes and produces stable and efficient numerical results for practical application.
Keywords:

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Environmental Engineering Ocean Engineering
Source:

Coastal Engineering, 112, 28-43
DOI:

https://doi.org/10.1016/j.coastaleng.2016.02.002
ISSN:

0378-3839
Format:

PDF
Publisher:

Elsevier BV
Document Type:

Journal Article
Funding:

Grant no. NA09NWS4670016 ; Grant no. NA14NWS4670042

Grant no. NA09NWS4670016 ; Grant no. NA14NWS4670042 Less -
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Accepted Manuscript
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urn:sha256:c364d03e1610e037bc97e7cda8c98a2540057904c479ec8724a33f35ab7bafd6
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https://repository.library.noaa.gov/view/noaa/57814/noaa_57814_DS1.pdf
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Modeling of wave overtopping on vertical structures with the HLLS Riemann solver

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