[2019-06] June 06 Short Course | Error Estimation and Mesh Adaptation with Application to Turbulent Flows

Error Estimation and Mesh Adaptation with Application to Turbulent Flows

Instructor: Prof. Krzysztof Fidkowski (kfid@umich.edu), NIA Visiting Researcher, (University of Michigan)

Date:  Thursday, June 6, 2019
Time: 10:00am – 2:30pm
Location: NIA, Room 101

Format: Slides and demonstrations in Octave

How to join via computer/dial in: See information at the bottom of this page

Description
Aerodynamic analysis and design applications are increasingly relying on high-fidelity computational fluid dynamics (CFD) simulations, which are becoming more complex as a result of advances in both hardware and algorithms. However, as simulations become more complex, so does the task of ensuring accuracy of theresults. For large, multidisciplinary problems, expert practitioners cannot reliably assess accuracy of a simulation through visual inspection alone, and best-practice meshing and verification guidelines may not apply to the analysis of novel configurations. This short course introduces output-based methods for addressing this situation by automating the process of estimating errors and improving fidelity, so that robustness of the CFD solution process can be vastly improved. Output-based methods rely on the solution of an auxiliary adjoint problem, which has already seen application to shape optimization and data assimilation. This course explores many uses of the adjoint solution for optimizing computations relevant to aerospace engineering, including steady-state mesh refinement, unstructured mesh optimization, adapting in space and time for unsteady simulations, and adapting both the mesh and approximation order in high-order methods. The course also covers the application of adaptive methods to chaotic and turbulent flows.

Outline
The short-course is divided into four modules:

1.   Introduction to Output-Based Error Estimation and Mesh Adaptation

2.   Error Estimation and Adaptation for Unsteady Problems

3.   Mesh Anisotropy and Optimization

4.   Effect of Chaos and Turbulence on Error Estimation and Adaptation

Several demonstration examples and codes will be presented to support the material in these modules.

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