Genuine Discontinuous Solutions

  • Shocks and discontinuities introduce difficulties in assessing code and solution accuracy
  • Discontinuity position mismatch generates error-ridges in grid convergence analysis
  • Glimm et al. have developed error analysis and filtering/averaging approaches for complex shock interactions
  • Also of interest the generation of manufactured solutions with (unsteady) strong curved shocks: cross derivatives, entropy/vorticity gradients
Circular RM instability: converging shocks Interacting with perturbed density interface

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  1. Glimm, J. et al. “Statistical Riemann Problems and a Composition Law for Errors in Numerical Solutions of Shock-Physics Problems”. LANL report UR-03-2921, 2003.
  2. Glimm, J. & Sharp, D. H. “Prediction and the Quantification of Uncertainties”, Physica D. Vol. 133, 1999.

 

 

 
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