Lombard, Bruno and Matignon, Denis
Numerical modeling of a time-fractional Burgers equation.
(2017)
In: 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2017), 15 May 2017 - 19 May 2017 (Minneapolis, United States).
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 334kB |
Official URL: https://ccaps.umn.edu/documents/CPE-Conferences/WAVES2017BookofAbstracts.pdf
Abstract
A fractional time derivative is introduced into Burgers equation to model losses of nonlinear waves arising in acoustics. A diffusive representation of the fractional derivative replaces the non-local operator by a continuum of memory variables that satisfy local ordinary differential equations. A quadrature formula yields a system of local partial differential equations. The quadrature coefficients are computed by optimization with a positivity constraint. One resolves the hyperbolic part by a shock-capturing scheme, and the diffusive part exactly. Extensive details can be found in [3].
Item Type: | Conference or Workshop Item (Paper) |
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Audience (conference): | International conference proceedings |
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Institution: | Other partners > Aix-Marseille Université - AMU (FRANCE) French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) Other partners > Ecole Centrale Marseille (FRANCE) |
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Deposited On: | 13 Jun 2018 10:45 |
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