Hypercomplex approximation to vorticity

Leonardo Traversoni & Leonardo Traversoni
We present a new approach to vortex methods using quaternionic analysis in order to represent Navier Stokes equations only depending on vorticity as a quaternionic variable. There are great computational advantages on doing that as well as more accurate approximation. This approach also allows a more natural use of several computational tools as wavelets, particularly what is called quaternionic multiresollution analysis. Several computational results are shown.
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