{"title":"REEF3D: nhflow -一种高性能的海岸波传播非流体静力解算器","authors":"Hans Bihs, Widar Weizhi Wang","doi":"10.1016/j.coastaleng.2025.104819","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper the new three-dimensional non-hydrostatic wave model NHFLOW is presented. It solves the non-hydrostatic Euler equations on a <span><math><mi>σ</mi></math></span>-coordinate grid, which follows the free surface and bottom topography, allowing for grid refinement near the water surface. The governing equations are treated with a Godunov-type scheme. A pressure correction algorithm is implemented, which results in excellent dispersion properties. Together, this delivers a unique combination of shock-capturing properties and dispersive wave modeling capabilities. The structure of the coefficient matrix of the Poisson equation is simplified through a deferred correction approach, increasing the iterative solver’s performance significantly. In order to model propagating waves with a high level of accuracy, the numerical fluxes are reconstructed with the fifth-order WENO scheme. Developed within the open-source hydrodynamic framework REEF3D, the new model is fully parallelized and utilizes the domain decomposition strategy with MPI communication between processors. This paper showcases the capabilities of this new and efficient non-hydrostatic model through verification and validation with a range of laboratory and real-world wave propagation cases.</div></div>","PeriodicalId":50996,"journal":{"name":"Coastal Engineering","volume":"202 ","pages":"Article 104819"},"PeriodicalIF":4.5000,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"REEF3D::NHFLOW—A high-performance non-hydrostatic solver for coastal wave propagation\",\"authors\":\"Hans Bihs, Widar Weizhi Wang\",\"doi\":\"10.1016/j.coastaleng.2025.104819\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper the new three-dimensional non-hydrostatic wave model NHFLOW is presented. It solves the non-hydrostatic Euler equations on a <span><math><mi>σ</mi></math></span>-coordinate grid, which follows the free surface and bottom topography, allowing for grid refinement near the water surface. The governing equations are treated with a Godunov-type scheme. A pressure correction algorithm is implemented, which results in excellent dispersion properties. Together, this delivers a unique combination of shock-capturing properties and dispersive wave modeling capabilities. The structure of the coefficient matrix of the Poisson equation is simplified through a deferred correction approach, increasing the iterative solver’s performance significantly. In order to model propagating waves with a high level of accuracy, the numerical fluxes are reconstructed with the fifth-order WENO scheme. Developed within the open-source hydrodynamic framework REEF3D, the new model is fully parallelized and utilizes the domain decomposition strategy with MPI communication between processors. This paper showcases the capabilities of this new and efficient non-hydrostatic model through verification and validation with a range of laboratory and real-world wave propagation cases.</div></div>\",\"PeriodicalId\":50996,\"journal\":{\"name\":\"Coastal Engineering\",\"volume\":\"202 \",\"pages\":\"Article 104819\"},\"PeriodicalIF\":4.5000,\"publicationDate\":\"2025-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Coastal Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378383925001243\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Coastal Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378383925001243","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
REEF3D::NHFLOW—A high-performance non-hydrostatic solver for coastal wave propagation
In this paper the new three-dimensional non-hydrostatic wave model NHFLOW is presented. It solves the non-hydrostatic Euler equations on a -coordinate grid, which follows the free surface and bottom topography, allowing for grid refinement near the water surface. The governing equations are treated with a Godunov-type scheme. A pressure correction algorithm is implemented, which results in excellent dispersion properties. Together, this delivers a unique combination of shock-capturing properties and dispersive wave modeling capabilities. The structure of the coefficient matrix of the Poisson equation is simplified through a deferred correction approach, increasing the iterative solver’s performance significantly. In order to model propagating waves with a high level of accuracy, the numerical fluxes are reconstructed with the fifth-order WENO scheme. Developed within the open-source hydrodynamic framework REEF3D, the new model is fully parallelized and utilizes the domain decomposition strategy with MPI communication between processors. This paper showcases the capabilities of this new and efficient non-hydrostatic model through verification and validation with a range of laboratory and real-world wave propagation cases.
期刊介绍:
Coastal Engineering is an international medium for coastal engineers and scientists. Combining practical applications with modern technological and scientific approaches, such as mathematical and numerical modelling, laboratory and field observations and experiments, it publishes fundamental studies as well as case studies on the following aspects of coastal, harbour and offshore engineering: waves, currents and sediment transport; coastal, estuarine and offshore morphology; technical and functional design of coastal and harbour structures; morphological and environmental impact of coastal, harbour and offshore structures.