|
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 |
![](radius.png) |
____________________________________________
- 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.
- Glimm, J. & Sharp, D. H. “Prediction and the Quantification of Uncertainties”, Physica D. Vol. 133, 1999.
|
|
|