Solving partial differential equations in deformed grids by estimating local average gradients with planes |
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Author: | Pohjonen, Aarne1 |
Organizations: |
1Materials and Mechanical Engineering Faculty of Technology University of Oulu PL4200, 90014 Oulun Yliopisto Oulu, Finland |
Format: | article |
Version: | published version |
Access: | open |
Online Access: | PDF Full Text (PDF, 1.4 MB) |
Persistent link: | http://urn.fi/urn:nbn:fi-fe202201101640 |
Language: | English |
Published: |
IOP Publishing,
2021
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Publish Date: | 2022-01-10 |
Description: |
AbstractFor constructing physical science based models in irregular numerical grids, an easy-to-implement method for solving partial differential equations has been developed and its accuracy has been evaluated by comparison to analytical solutions that are available for simple initial and boundary conditions. The method is based on approximating the local average gradients of a field by fitting equation of plane to the field quantities at neighbouring grid positions and then calculating an estimate for the local average gradient from the plane equations. The results, comparison to analytical solutions, and accuracy are presented for 2-dimensional cases. see all
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Series: |
Journal of physics. Conference series |
ISSN: | 1742-6588 |
ISSN-E: | 1742-6596 |
ISSN-L: | 1742-6588 |
Volume: | 2090 |
Article number: | 012069 |
DOI: | 10.1088/1742-6596/2090/1/01206 |
OADOI: | https://oadoi.org/10.1088/1742-6596/2090/1/01206 |
Host publication: |
Journal of Physics : Conference Series, Volume 2090, 10th International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE 2021), 6-9 September 2021, Greece (Virtual) |
Conference: |
International Conference on Mathematical Modeling in Physical Sciences |
Type of Publication: |
A4 Article in conference proceedings |
Field of Science: |
216 Materials engineering 114 Physical sciences 111 Mathematics |
Subjects: | |
Copyright information: |
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd. |
https://creativecommons.org/licenses/by/3.0/ |