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231225s2021 xx |||||o 00| ||eng c |
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|a 10.1016/j.jcp.2021.110633
|2 doi
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|a pubmed25n1102.xml
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|a (PII)110633
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|a DE-627
|b ger
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|e rakwb
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|a eng
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1 |
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|a Shankar, Varun
|e verfasserin
|4 aut
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| 245 |
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|a An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains
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|c 2021
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|a Text
|b txt
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|a ƒaComputermedien
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|a ƒa Online-Ressource
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|a Date Revised 16.11.2022
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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 high-order radial basis function finite difference (RBF-FD) framework for the solution of advection-diffusion equations on time-varying domains. Our framework is based on a generalization of the recently developed Overlapped RBF-FD method that utilizes a novel automatic procedure for computing RBF-FD weights on stencils in variable-sized regions around stencil centers. This procedure eliminates the overlap parameter δ, thereby enabling tuning-free assembly of RBF-FD differentiation matrices on moving domains. In addition, our framework utilizes a simple and efficient procedure for updating differentiation matrices on moving domains tiled by node sets of time-varying cardinality. Finally, advection-diffusion in time-varying domains is handled through a combination of rapid node set modification, a new high-order semi-Lagrangian method that utilizes the new tuning-free overlapped RBF-FD method, and a high-order time-integration method. The resulting framework has no tuning parameters and has O(N logN) time complexity. We demonstrate high-orders of convergence for advection-diffusion equations on time-varying 2D and 3D domains for both small and large Peclet numbers. We also present timings that verify our complexity estimates. Finally, we utilize our method to solve a coupled 3D problem motivated by models of platelet aggregation and coagulation, once again demonstrating high-order convergence rates on a moving domain
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|a Journal Article
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|a RBF-FD
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|a Radial basis function
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| 650 |
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|a advection-diffusion
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|a high-order method
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| 650 |
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|a meshfree
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|a semi-Lagrangian
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| 700 |
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|a Wright, Grady B
|e verfasserin
|4 aut
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| 700 |
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|a Fogelson, Aaron L
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t Journal of computational physics
|d 1986
|g 445(2021) vom: 15. Nov.
|w (DE-627)NLM098188844
|x 0021-9991
|7 nnas
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| 773 |
1 |
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|g volume:445
|g year:2021
|g day:15
|g month:11
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|u http://dx.doi.org/10.1016/j.jcp.2021.110633
|3 Volltext
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