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Wavelet Multiresolution Compression Technology

CFDRC engineers are developing new software tools using wavelet-based multiresolution (MRES) technology. Wavelet based multiresolution technology provides a natural way of resolving high gradient concentrated flow features while still solving the predominantly smooth regions using coarse grids, without resorting to grid refinement or adaptation. Wavelet technology provides up to two-orders-of-magnitude reduction in grid and CPU requirements over traditional computational techniques

Complex problems with very fine flow features, such as in rotorcraft tip vortices, exhaust plume signatures, jet noise, and electronic cooling, require prohibitive levels of grid refinements for accurate solution. Wavelet technology provides a solution to this problem using a novel technology of data compression. In the wavelet method, the solution to the flowfield is stored as multi-level wavelet components in physical space. The primary solution progresses along a very coarse grid. The flow-field regularity is dynamically used to identify regions where greater grid resolution is needed such as regions of concentrated vorticity. The regions of concentrated flow structures are selectively and recursively solved in the finer grid levels. The key strength of the wavelet methods is data compression. If a data set contains fine features embedded in smooth regions, wavelets have superb efficiency in compressing such data. Furthermore, the MRES underlying structure allows the implementation of higher order spatial algorithms even though the solution data is essentially unstructured.




Interacting small vortices
Pressure contours (top)
and active grid points (bottom)

Some of the key advantages of the MRES methodology include:

  • No prior knowledge of the flowfield structure is required.
  • The full flow field is solved on the coarsest grid. The finer grids are used only in regions of concentrated flow structures.
  • Wavelet technology is extremely well suited for massive distributed computing as opposed to grid adapting or overset refinement.
  • Provide orders of magnitude reduction in CPU time requirement.

The wavelet based multiresolution technology has a broad spectrum of applications in the areas of aerodynamics, structural dynamics, combustion instabilities, chemical and biological plume dispersion, micro-fluidic systems, biomedical, electronic cooling, and many others.

CFDRC engineers have successfully demonstrated this technology for several applications as shown in the pictures presented on this page. We are currently under an SBIR Phase II contract from NASA to develop and adapt this technology for airframe and rotorcraft noise prediction.

For more information on this technology and its applications to specific problems, please contact us.



Plume exhaust mixing


Acoustic field of vortex generator


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