{"title":"The effect of strong nonlinearity on wave-induced vertical mixing","authors":"M. Paprota, W. Sulisz","doi":"10.5194/esd-14-1261-2023","DOIUrl":null,"url":null,"abstract":"Abstract. A semi-analytical solution to an advection–diffusion equation is coupled with a nonlinear wavemaker model to investigate the effect of strong nonlinearity on wave-induced mixing. The comparisons with weakly nonlinear model predictions reveal that in the case of waves of higher steepness, enhanced mixing affects the subsurface layer of the water column. A fully nonlinear model captures the neglected higher-order terms from a weakly nonlinear solution and provides a reliable estimation of the time-mean velocity field. The corrected wave-induced mass-transport velocity leads to improved estimates of subsurface mixing intensity and ocean surface temperature.\n","PeriodicalId":48931,"journal":{"name":"Earth System Dynamics","volume":"132 9","pages":""},"PeriodicalIF":7.9000,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earth System Dynamics","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.5194/esd-14-1261-2023","RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"GEOSCIENCES, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract. A semi-analytical solution to an advection–diffusion equation is coupled with a nonlinear wavemaker model to investigate the effect of strong nonlinearity on wave-induced mixing. The comparisons with weakly nonlinear model predictions reveal that in the case of waves of higher steepness, enhanced mixing affects the subsurface layer of the water column. A fully nonlinear model captures the neglected higher-order terms from a weakly nonlinear solution and provides a reliable estimation of the time-mean velocity field. The corrected wave-induced mass-transport velocity leads to improved estimates of subsurface mixing intensity and ocean surface temperature.
期刊介绍:
Earth System Dynamics (ESD) is a not-for-profit international scientific journal committed to publishing and facilitating public discussion on interdisciplinary studies focusing on the Earth system and global change. The journal explores the intricate interactions among Earth's component systems, including the atmosphere, cryosphere, hydrosphere, oceans, pedosphere, lithosphere, and the influence of life and human activity. ESD welcomes contributions that delve into these interactions, their conceptualization, modeling, quantification, predictions of global change impacts, and their implications for Earth's habitability, humanity, and the future dynamics in the Anthropocene.