5. Concluding Remarks

The time evolution of an unstable elliptical vortex patch was analyzed using a contour dynamics model.

Calculations of streamfunctions, passive contour advections, and finite-time Lyapunov exponents revealed the deformation mechanism of the vortex patch and gave visualized recognitions and a quantitative measure of the fluid mixing.

Deformation of the Elliptical Vortex Patch

Visualization of the Fluid Mixing

Quantitative Measure of the Fluid Mixing

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