Preprints
https://doi.org/10.5194/gmd-2021-102
https://doi.org/10.5194/gmd-2021-102

Submitted as: development and technical paper 27 May 2021

Submitted as: development and technical paper | 27 May 2021

Review status: this preprint is currently under review for the journal GMD.

ISWFoam: A numerical model for internal solitary wave simulation in continuously stratified fluids

Jingyuan Li, Qinghe Zhang, and Tongqing Chen Jingyuan Li et al.
  • State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China

Abstract. A numerical model, ISWFoam, for simulating internal solitary waves (ISWs) in continuously stratified, incompressible, viscous fluids is developed based on a fully three-dimensional (3D) Navier-Stokes equation using the open source code OpenFOAM. This model combines the density transport equation with the Reynolds-averaged Navier-Stokes equation with the Coriolis force, and the model discrete equation adopts the finite volume method. The k-ω SST turbulence model has also been modified accordingly to the variable density field. ISWFoam provides two initial wave generation methods to generate an ISW in continuously stratified fluids, including solving the weakly nonlinear models of the extended Korteweg–de Vries (eKdV) equation and the fully nonlinear models of the Dubreil-Jacotin-Long (DJL) equation. Grid independence tests for ISWFoam are performed, considering the accuracy and computing efficiency, the appropriate grid size of the ISW simulation is recommended to be one-one hundred and fiftieth of the characteristic length and one-twenty fifth of the ISW amplitude. Model verifications are conducted through comparisons between the simulated and experimental data for ISW propagation examples over a flat bottom section, including laboratory scale and actual ocean scale, a submerged triangular ridge, a Gaussian ridge and slope. The laboratory test results, including the ISW profile, wave breaking location, ISW arrival time, and the spatial and temporal changes in the mixture region, are well reproduced by ISWFoam. The ISWFoam model with unstructured grids and local mesh refinement can accurately simulate the generation and evolution of ISWs, the ISW breaking phenomenon and the interaction between ISWs and complex structures and topography.

Jingyuan Li et al.

Status: open (until 22 Jul 2021)

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Jingyuan Li et al.

Jingyuan Li et al.

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Short summary
A numerical model, ISWFoam with a modified k-ω SST model, is developed to simulate ISWs in continuously stratified, incompressible, viscous fluids based on a fully three-dimensional (3D) Navier-Stokes equation with the finite volume method. ISWFoam can accurately simulate the generation and evolution of ISW, the ISWs breaking phenomenon and the interaction between the ISWs and complex complex structures and topography.