Using sensitivity derivatives for design and parameter estimation in an atmospheric plasma discharge simulation

Lange, Kyle J.; Anderson, W. Kyle

doi:10.1016/j.jcp.2010.04.038

Cited by 6 publications

(2 citation statements)

References 52 publications

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“…The governing equation is first discretized followed by a first order derivation. Alternatively, the continuous approach would first do the derivation and than discretize (Lange & Anderson, 2010). Two formulations, namely with and without reciprocity relation for view factors, are being considered.…”

Section: Introductionmentioning

confidence: 99%

Including Solar Radiation in Sensitivity and Uncertainty Analysis for Conjugate Heat Transfer Problems

Rauch¹

2012

Infrared Radiation

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Section: Introductionmentioning

confidence: 99%

Including Solar Radiation in Sensitivity and Uncertainty Analysis for Conjugate Heat Transfer Problems

Rauch¹

2012

Infrared Radiation

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“…The governing equation is first discretized followed by a first-order derivation. Alternatively, the continuous approach would first derive and than discretize [12]. In treating the transient term the backward differencing implicit scheme in time is being considered.…”

Section: Introductionmentioning

confidence: 99%

On Uncertainty and Local Sensitivity Analysis for Transient Conjugate Heat Transfer Problems

Rauch

2011

ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D

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The need for simulating real-world behavior of automobiles has led to add more and more sophisticated models of various physical phenomena for being coupled together. This increases the number of parameters to be set and, consequently, the required knowledge of their relative importance for the solution and the theory behind them. Sensitivity and uncertainty analysis provides the knowledge of parameter importance. In this paper a thermal radiation solver is considered, that performs conduction calculations and receives heat transfer coefficient and fluid temperate at a thermal node. The equations of local, discrete, and transient sensitivities for the conjugate heat transfer model solved by the finite difference method are being derived for some parameters. In the past, formulations for the boundary element method and the finite element method have been published. This paper builds on the steady-state formulation published previously by the author. A numerical analysis on the stability of the solution matrix is being conducted. From those normalized sensitivity coefficients dimensionless uncertainty factors are calculated. On a simplified example the relative importance of the heat transfer modes at various locations are then investigated by those uncertainty factors.

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On uncertainty and local sensitivity analysis for transient conjugate heat transfer problems

Rauch

2012

J Mech Sci Technol

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Using sensitivity derivatives for design and parameter estimation in an atmospheric plasma discharge simulation

Cited by 6 publications

References 52 publications

Including Solar Radiation in Sensitivity and Uncertainty Analysis for Conjugate Heat Transfer Problems

Including Solar Radiation in Sensitivity and Uncertainty Analysis for Conjugate Heat Transfer Problems

On Uncertainty and Local Sensitivity Analysis for Transient Conjugate Heat Transfer Problems

On uncertainty and local sensitivity analysis for transient conjugate heat transfer problems

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