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Interactive and Immersive Simulation using the Continuous Sensitivity Equation Method with Application to Thermal Transport

Abstract : The objective of this work is to develop a computational method that allows the user to visualize the solution of a PDE system (Partial Differential Equations) in virtual reality facilities and interact with the computation at real time. This could be possible only if a fast estimate of the physical solution is constructed. In the present work, we propose to employ a first-order Taylor series expansion to extrapolate the solution field from a reference solution, as some parameters vary. The continuous sensitivity equation method is used to compute the sensitivity field for the reference solution. The methodology proposed is applied to a heat transport problem (advection - diffusion) and demonstrated in a virtual reality facility.
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https://hal.inria.fr/inria-00530166
Contributor : Régis Duvigneau Connect in order to contact the contributor
Submitted on : Wednesday, October 27, 2010 - 4:59:36 PM
Last modification on : Saturday, June 25, 2022 - 11:05:00 PM
Long-term archiving on: : Friday, October 26, 2012 - 12:30:24 PM

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  • HAL Id : inria-00530166, version 1

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Agnieszka Kozub, Paul Ellinghaus, Régis Duvigneau, Jean-Christophe Lombardo, Nicolas Dalmasso. Interactive and Immersive Simulation using the Continuous Sensitivity Equation Method with Application to Thermal Transport. [Research Report] RR-7439, INRIA. 2010. ⟨inria-00530166⟩

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