Quaternions and particle dynamics in the Euler fluid equations
Quaternions and particle dynamics in the Euler fluid equations
Vorticity dynamics of the three-dimensional incompressible Euler equations are cast into a quaternionic representation governed by the Lagrangian evolution of the tetrad consisting of the growth rate and rotation rate of the vorticity. In turn, the Lagrangian evolution of this tetrad is governed by another that depends on the pressure …