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|Document Type: ||Article|
|Title: ||AD Tools and Prospects for Optimal AD in CFD Flux Jacobian Calculations.|
|Authors: ||Tadjouddine, Mohamed|
Forth, Shaun A.
Pryce, John D.
|Issue Date: ||2002|
|Citation: ||Mohamed Tadjouddine, Shaun A Forth & John D Pryce; AD Tools and Prospects for
Optimal AD in CFD Flux Jacobian Calculations. Automatic Differentiation of
Algorithms: From Simulation to Optimization, George Corliss, Christele Faure,
Andreas Griewank, Laurent Hascoet, and Uwe Naumann (eds.) Springer-Verlag, New
York, 2002, pp255-261|
|Abstract: ||We consider the problem of linearising the short (approximately 100 lines of)
code that defines the numerical fluxes of mass, energy and momentum across a
cell face in a finite volume compressible flow calculation. Typical of such
formulations is the numerical flux due to Roe, widely used in the numerical
approximation of flow fields containing moderate to strong shocks. Roe's flux
takes as input 10 variables describing the flow either side of a cell face and
returns as output the 5 variables for the numerical flux. We present results
concerning the efficiency of derivative calculations for Roe's flux using
several currently available AD tools. We also present preliminary work on
deriving near optimal differentiated code using the node elimination approach.
We show that such techniques, within a source transformation approach, will
yield substantial gains for application code such as the Roe flux.|
|Appears in Collections:||Staff publications - Cranfield Defence and Security, Shrivenham|
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