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On the need of introducing the exponential integrators for some PDEs arising in reactive microfluidics Poncet, Philippe
Description
In this talk, we will describe some fractional step (time-spitting) strategies for the Navier-Stokes, Stokes and stationary Stokes coupled to transport-diffusion-reaction. The main objective is that the resulting PDEs can be solved numerically by fast solvers (particle methods, fast interpolation, FFT). It turns out that the flow computation itself doesn't require sophisticated numerical analysis since the data are structured, but the splitting of transport-reaction-diffusion bumps into some limitations due to the time multi-scale feature and stiffness. One of the most interesting perspectives is the use of exponential integrators in order to handle different operators at the same time and blend it together with particle-strength-exchange schemes.
Item Metadata
Title |
On the need of introducing the exponential integrators for some PDEs arising in reactive microfluidics
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-12-06T14:07
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Description |
In this talk, we will describe some fractional step (time-spitting) strategies for the Navier-Stokes, Stokes and stationary Stokes coupled to transport-diffusion-reaction. The main objective is that the resulting PDEs can be solved numerically by fast solvers (particle methods, fast interpolation, FFT). It turns out that the flow computation itself doesn't require sophisticated numerical analysis since the data are structured, but the splitting of transport-reaction-diffusion bumps into some limitations due to the time multi-scale feature and stiffness. One of the most interesting perspectives is the use of exponential integrators in order to handle different operators at the same time and blend it together with particle-strength-exchange schemes.
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Extent |
37.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Pau
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Series | |
Date Available |
2019-06-05
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0379285
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International