Yang Zhang

4 Questions 1 Answers 0 Followers

Questions related from Yang Zhang

what is the spectral representation of Arakawa Jacobian ?

Arakawa(1966)'s Jacobian(his eq. 46) is a mean of 3 components: J++(eq.36), J+x(eq.37), and Jx+(eq.38), which have different conservation properties. I am trying to show the difference when using...

16 January 2020 10,070 2 View

How to derive the analytical solution to the 4th-order diffusion eq?

how to derive the analytical solution, i.e. eq.27 in CG Rossby (1937), for the biharmonic diffusion eq: u_t+u_xxxx=0,

07 December 2017 2,656 2 View

How to decompose arbitary funciton into 2nd-kind Bessel functions?

I know any function f(r) could be decomposed by a series of 1st-kind Bessel functions J_m(\alpha_{mn}*r), since its orthogonality: \int_0^R r * J_m(alpha_{mn}*r/R) * J_m(alpha_{mq}*r/R) dr...

14 April 2016 1,276 0 View

How can I include the beta effect into the vortex simulation using contour surgery?

the general idea is that solve for u v velocity from d(PV)/dt=0 for the nodes on each PV contour. PV (potential vorticity = relative vorticity + beta term) follows the material conservation...

08 June 2015 7,390 2 View