MULTI-LINEAR-ELEMENT DEPTH-INTEGRATED MODELS FOR FLOWS WITH A FREE SURFACE

Zhengtong Yang; Philip L.-F. Liu

doi:10.9753/icce.v37.management.34

No. 37 (2022), Coastal Management, Environment, and Risk

No. 37 (2022)

MULTI-LINEAR-ELEMENT DEPTH-INTEGRATED MODELS FOR FLOWS WITH A FREE SURFACE

Coastal Management, Environment, and Risk

Published 2023-09-01

Zhengtong Yang
Philip L.-F. Liu

Zhengtong Yang

Philip L.-F. Liu

PDF

How to Cite

MULTI-LINEAR-ELEMENT DEPTH-INTEGRATED MODELS FOR FLOWS WITH A FREE SURFACE. (2023). Coastal Engineering Proceedings, 37, management.34. https://doi.org/10.9753/icce.v37.management.34

Abstract

In this study, we derive a new set of depth-integrated models for solving unsteady flows that satisfy the Euler equations and nonlinear free surface boundary conditions in the sigma -coordinates. One of the obvious differences between the present approach and the ones directly solving the 3D Euler equations using Finite Element Method (FEM) is that in the present model the vertical velocity and the pressure field are eliminated by integrating the continuity equation and vertical momentum equation, respectively. Therefore, the present models only solve the horizontal velocity components and the free surface displacement in the two-dimensional horizontal (2DH) space. The new models are also more advantageous in using fewer elements in the vertical direction while achieving better performance. At this stage, the capability and application of the new models in dealing with free surface wave propagation problems are addressed.

PDF

References

Dingemans (1994): Comparison of computations with Boussinesq-like models and laboratory measurements. memo in framework of MAST project (G8-M), Delft Hydraulics memo H1684.12.

Lin, Li (2002): A sigma-coordinate three-dimensional numerical model for surface wave propagation. International Journal for Numerical Methods in Fluids, 38(11), 1045-1068.

Lynett, Liu (2004): A two-layer approach to wave modelling. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 460(2049), 2637-2669

Stelling, Zijlema (2003): An accurate and efficient finitedifference algorithm for non-hydrostatic free-surface flow with application to wave propagation. International journal for numerical methods in fluids 43.1: 1-23.

Yang, Liu (2020): Depth-integrated wave–current models. Part 1. Two-dimensional formulation and applications, Journal of Fluid Mechanics, 883.

This work is licensed under a Creative Commons Attribution 4.0 International License.

Most read articles by the same author(s)

Philip L.-F. Liu, Arthur Mynett, IN MEMORIAM: Maarten Dingemans , Coastal Engineering Proceedings: No. 35 (2016): Proceedings of 35th Conference on Coastal Engineering, Antalya, Turkey, 2016
Zhi-Cheng Huang, Wu-Ting Tsai, Philip L.-F. Liu, FIELD OBSERVATIONS OF TURBULENCE OVER A GRAVEL BEACH , Coastal Engineering Proceedings: No. 34 (2014): Proceedings of 34th Conference on Coastal Engineering, Seoul, Korea, 2014
Ignacio Sepulveda, Jennifer S. Haase, Philip L.-F. Liu, Mircea Grigoriu, Brook Tozer, David Sandwell, UNCERTAINTY OF BATHYMETRY MODELS AND EFFECT ON TSUNAMI MODELS , Coastal Engineering Proceedings: No. 36v (2020): Proceedings of virtual Conference on Coastal Engineering, 2020
Pablo Higuera, Philip L.-F. Liu, Cheng Lin, Wei-Ying Wong, Ming-Jer Kao, HIGHLY-RESOLVED NUMERICAL AND LABORATORY ANALYSIS FOR NONBREAKING SOLITARY WAVE SWASH OVER A STEEP SLOPE , Coastal Engineering Proceedings: No. 36 (2018): Proceedings of 36th Conference on Coastal Engineering, Baltimore, Maryland, 2018
Philip L.-F. Liu, Pablo Higuera, NUMERICAL SIMULATIONS AND ASSESSMENTS OF PERFORATED BREAKWATERS , Coastal Engineering Proceedings: No. 36 (2018): Proceedings of 36th Conference on Coastal Engineering, Baltimore, Maryland, 2018
Nimish Pujara, Claudio Meza-Valle, Philip L.-F. Liu, SOLITARY-WAVE-INDUCED BOUNDARY LAYER FLOWS OVER PERMEABLE BEDS , Coastal Engineering Proceedings: No. 36v (2020): Proceedings of virtual Conference on Coastal Engineering, 2020
Che-Wei Chang, Philip L.-F. Liu, HARMONICS GENERATION BY COASTAL FORESTS , Coastal Engineering Proceedings: No. 36 (2018): Proceedings of 36th Conference on Coastal Engineering, Baltimore, Maryland, 2018
Nimish Pujara, Philip L.-F. Liu, FLOW CHARACTERISTICS IN SWASH OF TRANSIENT LONG WAVES , Coastal Engineering Proceedings: No. 36 (2018): Proceedings of 36th Conference on Coastal Engineering, Baltimore, Maryland, 2018
Jinghua Wang, Philip L.-F. Liu, MODELING INFRA-GRAVITY WAVES USING SCHISM-WWMIII BASED ON IMPROVED FORMULAS AND COUPLING APPROACH , Coastal Engineering Proceedings: No. 37 (2022): Proceedings of 37th Conference on Coastal Engineering, Sydney, Australia, 2022
In Mei Sou, Yun-Ta Wu, Philip L.-F. Liu, SWASH FLOWS GENERATED BY A TRAIN OF SOLITARY WAVES ON A PLANAR SLOPE , Coastal Engineering Proceedings: No. 37 (2022): Proceedings of 37th Conference on Coastal Engineering, Sydney, Australia, 2022

MULTI-LINEAR-ELEMENT DEPTH-INTEGRATED MODELS FOR FLOWS WITH A FREE SURFACE

How to Cite

Download Citation

Abstract

References

Most read articles by the same author(s)