Dr.
Burg is interested in algorithms that improve the order of accuracy, both spatially
and temporally, of unstructured CFD solvers. In the past, he has developed the
Unstructured MUSCL approach and has studied the influence of asymmetries in the
unstructured grid on functional outputs, such as lift, drag and side
forces. He is also interested in
higher-order methods and in space-time finite volume methods.
Unstructured
MUSCL (U-MUSCL). Dr. Burg has
developed a third-order extrapolation methodology for unstructured grids that
mimicks the MUSCL approach for structured finite volume methods and has studied
the issues surrounding the typical limitations of the order of accuracy on
unstructured grids. Typically, unstructured flow solvers only demonstrate
second-order accuracy - they are technically only first-order accurate, but the
first-order terms are very small and hard to detect. As a result of this research, Dr. Burg
has a good understanding of the reasons for the loss of accuracy in
unstructured grids and has proposed a methodology for developing an
“almost” edge-based, third-order accurate algorithm for
unstructured grids.
Burg, C. O. E., “Higher-Order Variable
Extrapolation for Unstructured Finite Volume RANS Flow Solvers”, AIAA
Paper 2005-4999, 17th AIAA Computational Fluid Dynamics Conference,
Toronto, Ontario, June, 2005. PDF
Burg, C. O. E., Sheng, C., Newman, J. C. III,
Brewer, W., Blades, E., and Marcum, D. L., "Verification and Validation of
Forces Generated by an Unstructured Flow Sovler", AIAA Paper 2003-3983,
16th AIAA Computational Fluid Dynamics Conference, Orlando, June, 2003.