January 2007
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New Verification Analyses Method Developed

Los Alamos scientists Trevor Tippets, Frank Timmes, Jim Kamm, and Jerry Brock recently completed an initial exploration of a new method that performs verification analyses on complex multi-physics problems where an exact solution is unknown. The new method uses an optimization technique to estimate the exact solution in tandem with a self-consistent convergence rate. Unlike previous efforts, their new method allows for oscillatory convergence, which is observed to occur near shock fronts or material discontinuities. This step in technology is key to bridging the gap between analytical test problems and highly complex applications.

The main plot compares the estimated exact solution for the density produced by the new method (purple) with the analytical solution (red) for a blast wave solution on a 1D uniform mesh. The inset plot details the convergence rate of the estimated exact solution.

plot compares old and new methods

The main plot compares the estimated exact solution for the density produced by the new method (purple) with the analytical solution (red) for a blast wave solution on a 1D uniform mesh. The inset plot details the convergence rate of the estimated exact solution.