A Truncation Error Based Mesh Adaption Metric for CFD

Computational fluid dynamics has enourmous potential to influence the design and optimization of engineering systems; however, the error due to the computational mesh (discretization error) is often the largest source of numerical error. Automatic mesh adaption can be used to generate an optimal mesh given a smooth indicator of error. Truncation error is the local source of discretization error and has been shown to be a good adaption driver for structured grids [Roy, 2009]; however, the truncation error for general unstructured meshes is too noisy. A new method is developed that removes the excessive noise by interpolating the numerical solution to a smooth mesh matching only the control volume physical location and size. The smooth mesh truncation error is used to drive a mesh adaption process for two different solutions to Poisson’s equation and shows good initial results resolving peak truncation errors.

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