 Home

Codex Wiki

Physics

Branch of physics

Fluid mechanics

Geophysical fluid dynamics

Boussinesq approximation

{c}

The linearized Boussinesq equations describe small velocity, pressure, and buoyancy perturbations about a motionless, stably stratified reference state. With <kinematic viscosity> $\nu$, <mass diffusivity> $\kappa$, and <buoyancy frequency> $N$, they are
$$
(\partial_t-\nu\nabla^2)\mathbf u=-\frac1{\rho_0}\nabla p+b\mathbf e_z,
\qquad
(\partial_t-\kappa\nabla^2)b=-N^2w,
\qquad
\nabla\mathbin\cdot\mathbf u=0.
$$

Linearized Boussinesq equations

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 345 / 1 / a / Solution

Linearized Boussinesq equations

 Ancestors (6)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Linearized Boussinesq equations

 Ancestors (6)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)