- In
mathematics and physics, Laplace's
equation is a second-order
partial differential equation named after Pierre-Simon Laplace, who
first studied its...
- No. 1 –
Facsimile Products, the
primitive equations can be
simplified into the
following equations:
Zonal wind: ∂ u ∂ t = η v − ∂ Φ ∂ x − c p θ ∂ π ∂...
-
equated to the
density of a fluid, by way of the
following hydrostatic equation: d P d z = − ρ g n = − m P g n R T {\displaystyle {\frac {dP}{dz}}=-\rho...
- of a sphere. They are
often emplo**** in
solving partial differential equations in many
scientific fields. The
table of
spherical harmonics contains a...
-
simulation (DES) is a
modification of a Reynolds-averaged Navier–Stokes
equations (RANS)
model in
which the
model switches to a
subgrid scale formulation...
- the
small perturbations in the
zonal and
meridional components of the flow. To find the
solution to the
linearized equation, a
stream function was introduced...
-
planet and
moving at
velocity (u,v,w)
relative to that surface: the
zonal momentum equation: D u D t = − 1 ρ ∂ p ∂ x + f v + 1 ρ ∂ τ x ∂ z {\displaystyle {\frac...
- {\displaystyle t} time The set of
equations can be
solved for
atmospheric tides, i.e.,
longitudinally propagating waves of
zonal wavenumber s {\displaystyle...
- is the
Rossby parameter, k is the
zonal wavenumber, and ℓ is the
meridional wavenumber. It is
noted that the
zonal phase speed of
Rossby waves is always...
-
differential equation. The
Legendre polynomials and the ****ociated
Legendre polynomials are also
solutions of the
differential equation in
special cases...
