The shallow-water equations (SWE) are a set of hyperbolic partial differential equations (or parabolic if viscous shear is considered) that describe the...

Shallow water may refer to: Waves and shallow water Shallow water equations Shallow water marine environment Shallow Water (album) Shallow Water, Kansas...

equation – Physics phenomenon and formula Shallow water equations – Set of partial differential equations that describe the flow below a pressure surface in...

differential equations, called Boussinesq-type equations, which incorporate frequency dispersion (as opposite to the shallow water equations, which are...

the second equation of the shallow water equations are respectively called the zonal and meridional momentum equations, and the third equation is the continuity...

principle Nonlinear Schrödinger equation Shallow water equations Stokes' wave theory Trochoidal wave Wave turbulence Whitham equation Pond, S.; Pickard, G.L....

for defining a Sensor Web Shallow water equations, a set of equations that describe flow below a pressure surface Snow water equivalent Society of Women...

of the Coriolis force. The quasi-geostrophic equations are approximations to the shallow water equations in the limit of small Rossby number, so that...

scheme of the primitive equation model with an icosahedral-hexagonal grid system and its application to the shallow-water equations". Short- and Medium-Range...

conservation laws related to the Camassa–Holm shallow water equation", Comm. Partial Differential Equations, 31 (7–9): 1253–1272, CiteSeerX 10.1.1.144.9138...

hydrodynamics General equation of heat transfer Geophysical fluid dynamics Potential vorticity Quasi-geostrophic equations Shallow water equations Taylor–Goldstein...

unsteady open channel flow shallow water equations, also known as the Saint-Venant equations that are a fundamental set of equations used in modern hydraulic...

solves the so-called shallow water equations, also known as the Saint Venant equations. TELEMAC-2D solves the Saint-Venant equations using the finite-element...

surface, the shallow water approximation can be used. Using this approximation, Rossby showed in 1939, by integrating the shallow water equations over the...

the asymptotic behavior of the Green's function by a point-load. Shallow water equations A. E. H. Love, "A treatise on the mathematical theory of elasticity...

textbook which made extensive use of ripple tanks to illustrate waves Shallow water equations Wave tank Breithaupt, Jim (2000) New Understanding Physics for...

simplest equations that describe the dynamics of Kelvin waves are the linearized shallow water equations for homogeneous, in-viscid flows. These equations can...

work on numerical solutions of the local inertial form of the shallow water equations. He was elected as a Fellow of the American Geophysical Union in...

systems, the Conservative Vorticity Equation, the Rayleigh-Bénard Convection Equations, and the Shallow Water Equations. Moreover, Lorenz can be credited...

plasmas, liquid metals, and salt water. The fluid flow equations are solved simultaneously with Maxwell's equations of electromagnetism. Relativistic...

later paper in 1940 relaxed this theory from 2D flow to quasi-2D shallow water equations on a beta plane. In this system, the atmosphere is separated into...

Mild-slope equation – Physics phenomenon and formula Rogue wave – Unexpectedly large transient ocean surface wave Shallow water equations – Set of partial...

1981). "A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equations". Monthly Weather Review. 109 (1): 18–36. doi:10...

(2017). "Construction of Hamiltonian and Nambu Forms for the Shallow Water Equations". Fluids. 2 (2): 24. arXiv:1606.03355. doi:10.3390/fluids2020024...

referred to as a mid-ocean ridge. In contrast, if formed by past above-water volcanism, they are known as a seamount chain. The largest and best known...

exist. In shallow water surface-elevation solitons or waves of translation do exist, but they are not governed by the nonlinear Schrödinger equation. The nonlinear...

over 4.5 kilometres (2.8 miles). As the limestone was deposited in shallow water, the only way to explain this massive column is to estimate that the...

the well water level: F = A d z d t {\displaystyle F=A{\frac {dz}{dt}}} Combining the above three equations yields a simple differential equation in z: R...

Liao functionals. When calculating a solution to the shallow water equations, the solution (water height) might only be calculated for points every few...

since usually the equations are considered in the high Froude limit of negligible external field, leading to homogeneous equations that preserve the mathematical...