25-10-2012, 11:46 AM
Error Analysis of Composite Shock Interaction Problems
ABSTRACT
We propose statistical models of uncertainty and error in numerical solutions. To represent errors efficiently in shock
physics simulations we propose a composition law. The law allows us to estimate errors in the solutions of composite problems
in terms of the errors from simpler ones as discussed in a previous paper. In this paper, we conduct a detailed analysis of the
errors. One of our goals is to understand the relative magnitude of the input uncertainty vs. the errors created within the
numerical solution. In more detail, we wish to understand the contribution of each wave interaction to the errors observed at
the end of the simulation.