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231225s2022 xx |||||o 00| ||eng c |
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|a 10.1016/j.jcp.2021.110805
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|a (PII)110805
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|a DE-627
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|a eng
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|a Barrett, Aaron
|e verfasserin
|4 aut
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|a A Hybrid Semi-Lagrangian Cut Cell Method for Advection-Diffusion Problems with Robin Boundary Conditions in Moving Domains
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|c 2022
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|a Text
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|a ƒaComputermedien
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|a ƒa Online-Ressource
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|a Date Revised 16.01.2023
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|a published: Print-Electronic
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|a Citation Status PubMed-not-MEDLINE
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|a We present a new discretization approach to advection-diffusion problems with Robin boundary conditions on complex, time-dependent domains. The method is based on second order cut cell finite volume methods introduced by Bochkov et al. [8] to discretize the Laplace operator and Robin boundary condition. To overcome the small cell problem, we use a splitting scheme along with a semi-Lagrangian method to treat advection. We demonstrate second order accuracy in the L 1, L 2, and L ∞ norms for both analytic test problems and numerical convergence studies. We also demonstrate the ability of the scheme to convert one chemical species to another across a moving boundary
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|a Journal Article
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|a Cartesian grid method
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|a Irregular domain
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|a Level set method
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|a Robin boundary condition
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|a Fogelson, Aaron L
|e verfasserin
|4 aut
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|a Griffith, Boyce E
|e verfasserin
|4 aut
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|i Enthalten in
|t Journal of computational physics
|d 1986
|g 449(2022) vom: 15. Jan.
|w (DE-627)NLM098188844
|x 0021-9991
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|g year:2022
|g day:15
|g month:01
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|u http://dx.doi.org/10.1016/j.jcp.2021.110805
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