NDLI: Efficient construction of discrete adjoint operators on unstructured grids using complex variables

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Efficient construction of discrete adjoint operators on unstructured grids using complex variables

Content Provider	NASA Technical Reports Server (NTRS)
Author	Kleb, William L. Nielsen, Eric J.
Copyright Year	2005
Description	A methodology is developed and implemented to mitigate the lengthy software development cycle typically associated with constructing a discrete adjoint solver for aerodynamic simulations. The approach is based on a complex-variable formulation that enables straightforward differentiation of complicated real-valued functions. An automated scripting process is used to create the complex-variable form of the set of discrete equations. An efficient method for assembling the residual and cost function linearizations is developed. The accuracy of the implementation is verified through comparisons with a discrete direct method as well as a previously developed handcoded discrete adjoint approach. Comparisons are also shown for a large-scale configuration to establish the computational efficiency of the present scheme. To ultimately demonstrate the power of the approach, the implementation is extended to high temperature gas flows in chemical nonequilibrium. Finally, several fruitful research and development avenues enabled by the current work are suggested.
File Size	4693862
Page Count	15
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20050060975
Archival Resource Key	ark:/13960/t6062hw04
Language	English
Publisher Date	2005-01-31
Access Restriction	Open
Subject Keyword	Computer Programming And Software Computer Programming Computational Fluid Dynamics Gas Flow Unstructured Grids Mathematics Complex Variables Computerized Simulation High Temperature Gases Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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