China Ocean Engineering

, Volume 33, Issue 1, pp 65–72 | Cite as

Two-Layer Non-Hydrostatic Model for Generation and Propagation of Interfacial Waves

  • S. R. PudjaprasetyaEmail author
  • I. Magdalena


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 


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Copyright information

© Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural SciencesInstitut Teknologi BandungBandungIndonesia

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