Quantification of Numerical Uncertainty via Nonlinear Dynamical Approach

Motivations

(Ensure a Higher Level of Confidence in the Predictability & Reliability of Numerical Simulation for Multiscale Complex Nonlinear Fluid Problems)

- The last two decades have been an era when computation is ahead of analysis & when very large
scale practical computations are increasingly used in poorly understood multiscale complex
nonlinear physical problems & non-traditional fields (Especially when computations offer the ONLY way of
generating this type of data limited simulations).
- At present some of the numerical uncertainties can be explained and minimized by traditional
numerical analysis and standard CFD practices. However, such practices, usually based on
linearized analysis, MIGHT NOT be sufficient for strongly nonlinear and/or stiff problems.
- We need a good understanding of the nonlinear behavior of numerical schemes being used as an
integral part of code verification, validation and certification.