{"title":"二维相位分辨模型模拟三维波的统计特性","authors":"D. Chalikov","doi":"10.3103/S1541308X23020048","DOIUrl":null,"url":null,"abstract":"<p>Further evidences of effectiveness of а two-dimensional approach to modeling of three-dimensional deep-water potential waves are given. The 2-D model is based on the same two surface conditions as 3-D, but instead of а 3-D Laplace equation (used routinely for calculation of surface vertical velocity) the surface projection of Laplace equation is suggested for use. This equation is not closed, since it contains both the vertical velocity and its vertical derivative. The closing scheme is based on consideration of vertical structure of a nonlinear component of the velocity potential. It was shown before that the surface vertical velocity and its derivative are linearly connected with a coefficient depending on some integral parameters of the problem. The applicability of the 2-D model for reproducing statistical properties of wave field was demonstrated before for relatively simple integral characteristics and spectra. The paper is devoted to comparison of more complicated statistical results generated by full 3-D model and current 2-D model. A good agreement between the high order moments for elevation and surface vertical velocity and some other characteristics proves the applicability of the model for reproducing of statistical structure of a multimode wave field with satisfactory accuracy. The main advantage of 2-D model is that it runs 30–80 times faster than a 3-D model with similar setting.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Statistical Properties of 3-D Waves Simulated with 2-D Phase-Resolving Model\",\"authors\":\"D. Chalikov\",\"doi\":\"10.3103/S1541308X23020048\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Further evidences of effectiveness of а two-dimensional approach to modeling of three-dimensional deep-water potential waves are given. The 2-D model is based on the same two surface conditions as 3-D, but instead of а 3-D Laplace equation (used routinely for calculation of surface vertical velocity) the surface projection of Laplace equation is suggested for use. This equation is not closed, since it contains both the vertical velocity and its vertical derivative. The closing scheme is based on consideration of vertical structure of a nonlinear component of the velocity potential. It was shown before that the surface vertical velocity and its derivative are linearly connected with a coefficient depending on some integral parameters of the problem. The applicability of the 2-D model for reproducing statistical properties of wave field was demonstrated before for relatively simple integral characteristics and spectra. The paper is devoted to comparison of more complicated statistical results generated by full 3-D model and current 2-D model. A good agreement between the high order moments for elevation and surface vertical velocity and some other characteristics proves the applicability of the model for reproducing of statistical structure of a multimode wave field with satisfactory accuracy. The main advantage of 2-D model is that it runs 30–80 times faster than a 3-D model with similar setting.</p>\",\"PeriodicalId\":732,\"journal\":{\"name\":\"Physics of Wave Phenomena\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-05-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics of Wave Phenomena\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S1541308X23020048\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Wave Phenomena","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S1541308X23020048","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Statistical Properties of 3-D Waves Simulated with 2-D Phase-Resolving Model
Further evidences of effectiveness of а two-dimensional approach to modeling of three-dimensional deep-water potential waves are given. The 2-D model is based on the same two surface conditions as 3-D, but instead of а 3-D Laplace equation (used routinely for calculation of surface vertical velocity) the surface projection of Laplace equation is suggested for use. This equation is not closed, since it contains both the vertical velocity and its vertical derivative. The closing scheme is based on consideration of vertical structure of a nonlinear component of the velocity potential. It was shown before that the surface vertical velocity and its derivative are linearly connected with a coefficient depending on some integral parameters of the problem. The applicability of the 2-D model for reproducing statistical properties of wave field was demonstrated before for relatively simple integral characteristics and spectra. The paper is devoted to comparison of more complicated statistical results generated by full 3-D model and current 2-D model. A good agreement between the high order moments for elevation and surface vertical velocity and some other characteristics proves the applicability of the model for reproducing of statistical structure of a multimode wave field with satisfactory accuracy. The main advantage of 2-D model is that it runs 30–80 times faster than a 3-D model with similar setting.
期刊介绍:
Physics of Wave Phenomena publishes original contributions in general and nonlinear wave theory, original experimental results in optics, acoustics and radiophysics. The fields of physics represented in this journal include nonlinear optics, acoustics, and radiophysics; nonlinear effects of any nature including nonlinear dynamics and chaos; phase transitions including light- and sound-induced; laser physics; optical and other spectroscopies; new instruments, methods, and measurements of wave and oscillatory processes; remote sensing of waves in natural media; wave interactions in biophysics, econophysics and other cross-disciplinary areas.