Results 1 to 10 of about 53 (53)
Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations
Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2474-2576, October 2023., 2023 Abstract In this paper we study a finite‐depth layer of viscous incompressible fluid in dimension n≥2, modeled by the Navier‐Stokes equations. The fluid is assumed to be bounded below by a flat rigid surface and above by a free, moving interface. A uniform gravitational field acts perpendicularly to the flat surface, and we consider the cases with and ...
Giovanni Leoni, Ian Tice
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Intermittent Generation of Internal Solitary‐Like Waves on the Northern Shelf of the South China Sea
Geophysical Research Letters, Volume 50, Issue 6, 28 March 2023., 2023 Abstract Predicting the occurrence of internal solitary‐like waves (ISWs) is important for parameterizing turbulent dissipation. ISWs in the northern South China Sea (SCS) are well understood to mainly originate from the Luzon Strait (LS). They are generally predictable due to their phase‐locked relation with tidal forcing in the LS. However, irregular
Xiaolin Bai +3 more
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Self‐contained two‐layer shallow‐water theory of strong internal bores
Studies in Applied Mathematics, Volume 150, Issue 2, Page 457-480, February 2023., 2023 Abstract We show that interfacial gravity waves comprising strong hydraulic jumps (bores) can be described by a two‐layer hydrostatic shallow‐water (SW) approximation without invoking additional front conditions. The theory is based on a new SW momentum equation which is derived in locally conservative form containing a free parameter α. This parameter,
Janis Priede
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A Model Sensitivity Study of Ocean Surface Wave Modulation Induced by Internal Waves
Earth and Space Science, Volume 9, Issue 11, November 2022., 2022 Abstract Nonlinear internal waves are an upper ocean phenomenon that drives horizontal surface current gradients, which in turn modulate ocean surface waves. Under certain conditions, this wave‐current interaction creates ocean surface roughness heterogeneity, in the form of alternating rough/smooth bands.
Jie Wu +4 more
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Quarterly Journal of the Royal Meteorological Society, Volume 148, Issue 749, Page 3788-3813, October 2022 Part B., 2022 By means of a new multilayer pseudo‐spectral moist‐convective thermal rotating shallow‐water model in a full sphere, we present a mechanism in which geostrophic adjustment of large‐scale localized heating in the lower troposphere over the equatorial zone can lead to generation of a structure similar to that of the Madden–Julian oscillation. Abstract By
Masoud Rostami, Bowen Zhao, Stefan Petri
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Journal of Advances in Modeling Earth Systems, Volume 14, Issue 10, October 2022., 2022 Abstract Changes in atmospheric pressure continuously ventilate soils and snowpacks. This physical process, known as pressure pumping, is a major factor in the exchange fluxes of H2O, CO2, and other trace gases between the soil and atmosphere. Thus models of pressure pumping are relevant to many areas of critical importance.
W. J. Massman, J. M. Frank
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Evaluating the Stability of Numerical Schemes for Fluid Solvers in Game Technology
International Journal of Computer Games Technology, Volume 2022, Issue 1, 2022., 2022 A variety of numerical techniques have been explored to solve the shallow water equations in real‐time water simulations for computer graphics applications. However, determining the stability of a numerical algorithm is a complex and involved task when a coupled set of nonlinear partial differential equations need to be solved.
Craig R. Stark +2 more
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Oblique undular hydraulic jumps in turbulent free‐surface flows
PAMM, Volume 21, Issue 1, December 2021., 2021 Abstract Steady turbulent near‐critical free‐surface flow over a slightly inclined bottom with an oblique roughness discontinuity is considered. An asymptotic analysis for Froude numbers close to the critical value 1 and large Reynolds numbers results in an extended Korteweg–de Vries (KdV) equation describing the free‐surface elevation without the need
Dominik Murschenhofer
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Wave–current interaction on a free surface
Studies in Applied Mathematics, Volume 147, Issue 4, Page 1277-1338, November 2021., 2021 Abstract The classical water wave equations (CWWEs) comprise two boundary conditions for the two‐dimensional flow on the free surface of a bulk three‐dimensional (3D) incompressible potential flow in the volume bounded by the free surface, which itself moves under the restoring force of gravity.
Dan Crisan +2 more
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On the Stability of Solitary Water Waves with a Point Vortex
Communications on Pure and Applied Mathematics, Volume 73, Issue 12, Page 2634-2684, December 2020., 2020 This paper investigates the stability of traveling wave solutions to the free boundary Euler equations with a submerged point vortex. We prove that sufficiently small‐amplitude waves with small enough vortex strength are conditionally orbitally stable. In the process of obtaining this result, we develop a quite general stability/instability theory for ...
Kristoffer Varholm +2 more
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