Hypercomplex approximation to vorticity

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XVI International Conference on Computational Methods in Water Resources (CMWR-XVI) Ingeniørhuset

Hypercomplex approximation to vorticity
Paper
Author:Leonardo Traversoni <ltd@xanum.uam.mx> (Universidad Autonoma Metropolitana)
Presenter:Leonardo Traversoni <ltd@xanum.uam.mx> (Universidad Autonoma Metropolitana)
Date: 2006-06-18     Track: General Sessions     Session: General
DOI:10.4122/1.1000000460
DOI:10.4122/1.1000000461

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.