6533b857fe1ef96bd12b4dec

RESEARCH PRODUCT

Visualization of Parameter Sensitivity of 2D Time-Dependent Flow

George C. CraigB. WiebeBastian RieckBoyan ZhengKarsten HanserFilip SadloOle KleinMaria Lukacova-medvidovaAntoni SagristàMarian PiatkowskiHeike LeitteTobias Selz

subject

SpacetimeComputer sciencebusiness.industry020207 software engineering02 engineering and technologyLyapunov exponentComputational fluid dynamicsDomain (mathematical analysis)Visualizationsymbols.namesakeFlow (mathematics)0202 electrical engineering electronic engineering information engineeringsymbolsTime dependent flowStatistical physicsSensitivity (control systems)business

description

In this paper, we present an approach to analyze 1D parameter spaces of time-dependent flow simulation ensembles. By extending the concept of the finite-time Lyapunov exponent to the ensemble domain, i.e., to the parameter that gives rise to the ensemble, we obtain a tool for quantitative analysis of parameter sensitivity both in space and time. We exemplify our approach using 2D synthetic examples and computational fluid dynamics ensembles.

https://doi.org/10.1007/978-3-030-03801-4_32