TwoLayerNonHydrostaticModelforGenerationandPropaga
合集下载
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
Abstract When pycnocline thickness of ocean density is relatively small, density stratification can be well represented as a two-layer system. In this article, a depth integrated model of the two-layer fluid with constant density is considered, and a variant of the edge-based non-hydrostatic numerical scheme is formulated. The resulting scheme is very efficient since it resolves the vertical fluid depth only in two layers. Despite using just two layers, the numerical dispersion is shown to agree with the analytical dispersion curves over a wide range of kd, where k is the wave number and d the water depth. The scheme was tested by simulating an interfacial solitary wave propagating over a flat bottom, as well as over a bottom step. On a laboratory scale, the formation of an interfacial wave is simulated, which also shows the interaction of wave with a triangular bathymetry. Then, a case study using the Lombok Strait topography is discussed, and the results show the development of an interfacial wave due to a strong current passing through a sill. Key words: interfacial waves, two-layer non-hydrostatic model, dispersion relation
S.R. Pudjaprasetya*, I. Magdalena
Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
1 Introduction Internal waves are phenomena commonHale Waihona Puke Baiduy observed in
the ocean. Even though they occur within the ocean body, their presence can be visible from satellite images as stripes of rough surfaces. As reported (Maxworthy, 1979; Osborne and Burch, 1980; Helfrich and Melville, 1986; Lamb, 1994), internal waves play an important role in the transport of momentum and energy within the ocean. Also, they have profound effects on the Earth’s climate and ocean ecosystems.
Citation: Pudjaprasetya, S. R., Magdalena, I., 2019. Two-layer non-hydrostatic model for generation and propagation of interfacial waves. China Ocean Eng., 33(1): 65–72, doi: 10.1007/s13344-019-0007-7
China Ocean Eng., 2019, Vol. 33, No. 1, P. 65–72 DOI: 10.1007/s13344-019-0007-7, ISSN 0890-5487 http://www.chinaoceanengin.cn/ E-mail: coe@nhri.cn
Two-Layer Non-Hydrostatic Model for Generation and Propagation of Interfacial Waves
Received January 17, 2018; revised August 22, 2018; accepted September 28, 2018
©2019 Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature
Stratified ocean density supports the existence of internal waves within the fluid medium. Typical ocean density is low at the surface and increases as depth increases until it reaches a pycnocline layer. From there onwards ocean density is relatively constant. When pycnocline thickness is relatively small, internal waves propagate horizontally along the pycnocline, and they are called interfacial waves. In this case, ocean density stratification can be well represented as a two-layer fluid system.
S.R. Pudjaprasetya*, I. Magdalena
Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
1 Introduction Internal waves are phenomena commonHale Waihona Puke Baiduy observed in
the ocean. Even though they occur within the ocean body, their presence can be visible from satellite images as stripes of rough surfaces. As reported (Maxworthy, 1979; Osborne and Burch, 1980; Helfrich and Melville, 1986; Lamb, 1994), internal waves play an important role in the transport of momentum and energy within the ocean. Also, they have profound effects on the Earth’s climate and ocean ecosystems.
Citation: Pudjaprasetya, S. R., Magdalena, I., 2019. Two-layer non-hydrostatic model for generation and propagation of interfacial waves. China Ocean Eng., 33(1): 65–72, doi: 10.1007/s13344-019-0007-7
China Ocean Eng., 2019, Vol. 33, No. 1, P. 65–72 DOI: 10.1007/s13344-019-0007-7, ISSN 0890-5487 http://www.chinaoceanengin.cn/ E-mail: coe@nhri.cn
Two-Layer Non-Hydrostatic Model for Generation and Propagation of Interfacial Waves
Received January 17, 2018; revised August 22, 2018; accepted September 28, 2018
©2019 Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature
Stratified ocean density supports the existence of internal waves within the fluid medium. Typical ocean density is low at the surface and increases as depth increases until it reaches a pycnocline layer. From there onwards ocean density is relatively constant. When pycnocline thickness is relatively small, internal waves propagate horizontally along the pycnocline, and they are called interfacial waves. In this case, ocean density stratification can be well represented as a two-layer fluid system.