Verification using Duality

An important component of a verification procedure is the determination of errors in single grid analysis

Rich literature on using adjoints to produce error estimates and to subsequently refine the meshes to closely control the accuracy of  specific output of a numerical simulation

  • Error estimate related to a target functional
  • Non-orthodox regions of refinement
Primal solution: density
Dual solution for lift functional: density
Adapted mesh

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  1. Giles, M., Pierce, N., and Suli, E. “Progress in Adjoint Error Correction for Integral Functionals.” Comput. Visualisation Sci. Vol. 6, 2004.
  2. Barth, T. & Larson, M. “A Posteriori Error Estimates for Higher Order Godunov Finite Volume Methods on Unstructured Meshes”, Finite Volumes for Complex Applications III, Hermes Pub. Ltd., June 2002

 

 
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