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A Novel 2-D Incompressible Viscous Inverse Design Method for Internal Flows Using Flexible String Algorithm


In this investigation, the flexible string algorithm (FSA), used before for inverse design of
subsonic and supersonic ducts in compressible flows with and without normal shock, is
developed and applied for inverse design of 2D incompressible viscous internal flow with
and without separation. In the proposed method, the duct wall shape is changed under an
algorithm based on deformation of a virtual flexible string in flow. At each modification
step, the difference between current and target wall pressure distributions is applied to
the string. The method is an iterative inverse design method and utilizes the analysis code
for the flow field solution as a black-box. Some validation test cases and design examples
are presented here, which show the robustness and flexibility of the method in handling
complex geometries. In cases with separated flow pressure distribution, a unique solution
for inverse design problem does not exist. The design algorithm is a physical and quick
converging approach and can efficiently utilize commercial flow analysis software.

March, 2010


Journal Papers