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Solutions with Numerics  
 
 
 
Some History
Our work at AUB started in 1990 with the development of number of high resolution schemes  such as the STOIC scheme, a family of bounded Skew Scheme, work on adaptive Very High Resolution Schemes adn more recently on the implementation of High Resolution schemes in unstructured grids.  The formulation of nearly allschemes was based on the Normalized Variable Diagram of Leonard., and a an extension developed by the group the Normalized Variable and Space Normalized Diagram.

Near the mid 90's we started researching pressure-based algorithm based on the SIMPLE algorithm of Spalding and Patankar.  We worked on a unifying the formulation of large number of pressure based  schemessuch as PRIME, SIMPLEC, SIMPLER, PISO, SIMPLEX, PISOC, in addition to the SIMPLE algorithm.  Basic characteristics for these scheme were established and tested in a range of flow test problems.  This was followed by the re-formulation of these schemes for all speed flow simulation, hence accounting for density variation.  Work continued on the extension of these schemes for the simulation of multi-fluid algorithm both compressible and incompressible.

Multifluid flow simulation became our research focus in the beginning of year 2000 and continues to  form an important thrust for our research.

More recently we started working on acceleration  techniques for flow simulation such as the use of multigrids and work on improveming pressure-based algorithms.

 
 
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