A publication of the Office of Advanced Simulation & Computing, NA-114, NNSA Defense Programs

March 2008

NA-ASC-500-07—Issue 6
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Encore Error Estimation Toolkit with Method of Manufactured Solutions

Encore is a component of SIERRA Mechanics that provides quantitative error estimates for simulation results or adaptive grid refinement. This information can be used to quantify or reduce the solution error. The Encore software toolkit has been extended to enable the Method of Manufactured Solutions (MMS). Using the Encore/MMS capability, developers and users of engineering and physics simulation software can perform code verification that is mathematically rigorous. Given a manufactured solution, Encore provides the necessary code input and then quantifies the difference between the code output and the manufactured solution. Recently, the Encore/MMS capability has been used in multiphysics thermal/fluid simulations and in fire environment simulations using SIERRA Mechanics, under the auspices of the ASC Verification and Validation Program. Under the ASC National Code strategy, the SIERRA Mechanics package will provide engineering code capabilities required for related weapons analysis across the three NNSA laboratories.

Verification problem

A verification problem for coupled conduction and thermal radiation using the Encore/MMS capability in SIERRA Mechanics. Temperature contours are shown on the left, and convergence rates are shown on the right. Encore has quantified that the simulation has the expected accuracy, providing evidence that the numerical algorithms have been implemented correctly.

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