Journal ArticleDOI
Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme
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In this paper, a well-balanced central-upwind scheme for two-dimensional rotating shallow water equations with horizontal temperature/density gradients is proposed, based on thermal rotating shallow.Abstract:
We introduce a new high-resolution well-balanced central-upwind scheme for two-dimensional rotating shallow water equations with horizontal temperature/density gradients – thermal rotating shallow read more
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Geophysical fluid dynamics: understanding (almost) everything with rotating shallow water models
TL;DR: Fluid dynamics is a broad field within fluid mechanics that deals with the flow of fluids such as liquids and gases under various conditions, mostly with the dynamics of flows on macroscopic scales as mentioned in this paper.
Journal ArticleDOI
Numerical dissipation switch for two-dimensional central-upwind schemes
TL;DR: In this article, a numerical dissipation switch is proposed to control the amount of dissipation present in central-upwind schemes without risking oscillations, which is achieved with the help of a more accurate estimate of the local propagation speeds in the parts of the computational domain.
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Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts
TL;DR: In this article, Cheng et al. study the flux globalization based central-upwind scheme for the Saint-Venant system of shallow water equations and develop a well-balanced scheme, which can accurately handle both still and moving-water equilibria.
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Interaction of tropical cyclone-like vortices with sea-surface temperature anomalies and topography in a simple shallow-water atmospheric model
TL;DR: In this paper, the authors show how the thermal effects affect trajectories, intensity, and formation of secondary structures during the passages of strong tropical cyclone-like vortices over oceanic warm and cold pools as well as over an island-type topography.
Journal ArticleDOI
Energy Preserving Reduced-Order Modeling of the Rotating Thermal Shallow Water Equation
TL;DR: In this paper , a reduced-order model was developed for the rotating thermal shallow water equation (RTSWE) in the non-canonical Hamiltonian form with state-dependent Poisson matrix.
References
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Journal ArticleDOI
An analytical theory of distributed axisymmetric barotropic vortices on the β-plane
G. M. Reznik,William K. Dewar +1 more
TL;DR: In this article, an analytical theory of barotropic beta-plane vortices is presented in the form of an asymptotic series based on the inverse of vortex nonlinearity.
Journal ArticleDOI
The Subinertial Mixed Layer Approximation
TL;DR: In this paper, a three-dimensional mixed layer model with vertical sheared velocity is presented. But the authors focus on the relative weighting of the two components, i.e., the geostrophic response and the age-strophic response.
Journal ArticleDOI
On improving a one-layer ocean model with thermodynamics
TL;DR: In this paper, a new model is proposed which uses velocity and density fields varying linearly with depth, with coefficients that are functions of horizontal position and time, which can explicitly represent the thermal wind balance, but its use is not restricted to low frequency dynamics.
Journal ArticleDOI
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
TL;DR: A new paradigm based on a purely conservative reformulation of the Euler equations using global fluxes is advocated, capable of exactly preserving steady-state solutions expressed in terms of a nonlocal equilibrium variable.
Posted Content
Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
TL;DR: In this article, a finite volume evolution Galerkin (FVEG) scheme was proposed for the solution of the shallow water equations with the bottom topography as a source term.