Articles | Volume 18, issue 3
https://doi.org/10.5194/npg-18-351-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-18-351-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Spectral methods for internal waves: indistinguishable density profiles and double-humped solitary waves
M. Dunphy
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
C. Subich
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
M. Stastna
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
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69 citations as recorded by crossref.
- Observations of nonlinear internal waves at a persistent coastal upwelling front R. Walter et al. 10.1016/j.csr.2016.02.007
- Nonlinear Wave Equations for Oceanic Internal Solitary Waves R. Grimshaw 10.1111/sapm.12100
- A short note on the discontinuous Galerkin discretization of the pressure projection operator in incompressible flow D. Steinmoeller et al. 10.1016/j.jcp.2013.05.036
- Nonlinear internal wave packets in shelf zone . Макаренко et al. 10.25743/ICT.2019.24.2.008
- A high-order spectral method for effective simulation of surface waves interacting with an internal wave of large amplitude X. Hao et al. 10.1016/j.ocemod.2022.101996
- Dynamic analysis on the interaction of two successive internal solitary waves with a ridge Y. Guo et al. 10.1063/5.0212960
- A numerical wave-maker for internal solitary waves with timely updated mass source/sink terms X. Wang et al. 10.1016/j.euromechflu.2017.04.005
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- Brief communication: Multiscaled solitary waves O. Derzho 10.5194/npg-24-695-2017
- The Stratified Ocean Model with Adaptive Refinement (SOMAR) E. Santilli & A. Scotti 10.1016/j.jcp.2015.03.008
- Topographically generated internal waves and boundary layer instabilities N. Soontiens et al. 10.1063/1.4929344
- The boundary layer instability beneath internal solitary waves and its sensitivity to vortex wakes A. Posada-Bedoya et al. 10.1017/jfm.2024.506
- Internal wave boundary layer interaction: A novel instability over broad topography S. Harnanan et al. 10.1063/1.4906299
- Strongly Nonlinear Effects on Determining Internal Solitary Wave Parameters From Surface Signatures With Potential for Remote Sensing Applications T. Xu et al. 10.1029/2023GL105814
- Strong mode-mode interactions in internal solitary-like waves M. Stastna et al. 10.1063/1.4919115
- A post-processing technique for stabilizing the discontinuous pressure projection operator in marginally-resolved incompressible inviscid flow S. Joshi et al. 10.1016/j.compfluid.2016.04.021
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- Intrusions and solitons: Propagation and collision dynamics G. la Forgia et al. 10.1063/5.0011604
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- The role of the free surface on interfacial solitary waves G. la Forgia & G. Sciortino 10.1063/1.5120621
- A spectral quadrilateral multidomain penalty method model for high Reynolds number incompressible stratified flows J. Escobar‐Vargas et al. 10.1002/fld.3899
- Bumpy Topographic Effects on the Transbasin Evolution of Large‐Amplitude Internal Solitary Wave in the Northern South China Sea J. Xie et al. 10.1029/2018JC014837
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- Vortex generation due to internal solitary wave propagation past a sidewall constriction D. Deepwell et al. 10.1017/jfm.2021.25
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- Spontaneous instability in internal solitary-like waves C. Xu et al. 10.1103/PhysRevFluids.4.014805
- Evolution of internal solitary waves on the slope-shelf topography in the northern South China Sea S. Wang et al. 10.1007/s10236-020-01357-5
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- Formation of Recirculating Cores in Convectively Breaking Internal Solitary Waves of Depression Shoaling over Gentle Slopes in the South China Sea G. Rivera-Rosario et al. 10.1175/JPO-D-19-0036.1
- Fate of Internal Waves on a Shallow Shelf K. Davis et al. 10.1029/2019JC015377
- Numerical Investigation of Internal Solitary Wave Forces on Submarines in Continuously Stratified Fluids J. Li et al. 10.3390/jmse9121374
- High-level Green–Naghdi model for large-amplitude internal waves in deep water B. Zhao et al. 10.1017/jfm.2024.460
- On the interaction of short linear internal waves with internal solitary waves C. Xu & M. Stastna 10.5194/npg-25-1-2018
Latest update: 23 Nov 2024