This work presents a novel one-layer nonhydrostatic formulation and model for nearshore waves. The proposed governing equations define velocities and pressures at arbitrary distances from the still water and only contain spatial derivatives of maximum second order. The formulation can be unified into the existing nonhydrostatic models by defining the variables at the middle depth and neglecting certain additional terms. A Stokes-type Fourier analysis was performed to analyze the formulations' properties and determine the location of variables. The proposed formulation exhibited a clear superiority in describing both the linear and nonlinear properties of the coastal waves. The equations were numerically solved using a hybrid-finite, volume-finite difference scheme. The resulting model accurately described the wave-breaking and runup processes that occurred due to the adoption of a shock-capturing scheme and seabed elevation reconstruction. The suggested novel numerical model was validated against two theoretical benchmark tests and three wave transformation experiments.
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July 2023
Research Article|
July 18 2023
Advancements in nearshore wave modeling: A unified one-layer nonhydrostatic approach
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Special Collection:
Recent Advances in Marine Hydrodynamics
Hang Wang (王航)
;
Hang Wang (王航)
(Formal analysis, Software, Writing – original draft)
1
Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University
, Nanjing 210098, China
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Gang Wang (王岗)
;
Gang Wang (王岗)
a)
(Conceptualization, Formal analysis, Investigation, Project administration, Writing – review & editing)
1
Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University
, Nanjing 210098, China
2
College of Harbour, Coastal and Offshore Engineering, Hohai University
, Nanjing 210098, China
a)Author to whom correspondence should be addressed: [email protected]
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Jinhai Zheng (郑金海)
;
Jinhai Zheng (郑金海)
(Conceptualization, Methodology, Supervision)
1
Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University
, Nanjing 210098, China
2
College of Harbour, Coastal and Offshore Engineering, Hohai University
, Nanjing 210098, China
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Qiuhua Liang (梁秋华)
;
Qiuhua Liang (梁秋华)
(Resources, Software, Validation)
3
School of Architecture, Building and Civil Engineering, Loughborough University
, Loughborough LE113TU, United Kingdom
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Aifeng Tao (陶爱峰)
Aifeng Tao (陶爱峰)
(Validation, Visualization, Writing – review & editing)
1
Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University
, Nanjing 210098, China
2
College of Harbour, Coastal and Offshore Engineering, Hohai University
, Nanjing 210098, China
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Aifeng Tao (陶爱峰)
1,2
1
Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University
, Nanjing 210098, China
2
College of Harbour, Coastal and Offshore Engineering, Hohai University
, Nanjing 210098, China
3
School of Architecture, Building and Civil Engineering, Loughborough University
, Loughborough LE113TU, United Kingdom
a)Author to whom correspondence should be addressed: [email protected]
Note: This paper is part of the special topic, Recent Advances in Marine Hydrodynamics.
Physics of Fluids 35, 076610 (2023)
Article history
Received:
May 22 2023
Accepted:
July 04 2023
Citation
Hang Wang, Gang Wang, Jinhai Zheng, Qiuhua Liang, Aifeng Tao; Advancements in nearshore wave modeling: A unified one-layer nonhydrostatic approach. Physics of Fluids 1 July 2023; 35 (7): 076610. https://doi.org/10.1063/5.0159266
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