Vortex Streets on a Sphere

Table 1

Some two-dimensional vortex streets.

Single corotating row	𝜅𝜓=2𝜋ln[cosh𝑦+cos𝑥]
Single counterrotating row	𝜅𝜓=2𝜋lncosh𝑦+cos𝑥cosh𝑦−cos𝑥
Symmetrical double row	𝜅𝜓=2𝜋lncosh(𝑦−𝑑)+cos(𝑥+𝑐𝑡)cosh(𝑦+𝑑)+cos(𝑥+𝑐𝑡)
Staggered double row	𝜅𝜓=2𝜋lncosh(𝑦−𝑑)+cos(𝑥+𝑐𝑡)cosh(𝑦+𝑑)−cos(𝑥+𝑐𝑡)