Solving partial differential equations in deformed grids by estimating local average gradients with planes
1Materials and Mechanical Engineering Faculty of Technology University of Oulu PL4200, 90014 Oulun Yliopisto Oulu, Finland
|Online Access:||PDF Full Text (PDF, 1.4 MB)|
|Persistent link:|| http://urn.fi/urn:nbn:fi-fe202201101640
|Publish Date:|| 2022-01-10
For 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.
Journal of physics. Conference series
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)
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
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