Aarne Pohjonen; Numerical experiments on the solution of advection equation for moving phase interface: Encountered problems and their solutions. AIP Conf. Proc. 28 September 2023; 2872 (1): 090001. https://doi.org/10.1063/5.0162938
Numerical experiments on the solution of advection equation for moving phase interface : encountered problems and their solutions
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|Persistent link:|| http://urn.fi/urn:nbn:fi-fe20231018140543
|Publish Date:|| 2023-10-18
As a part of the effort of constructing fundamentally physics based numerical model for growth of a phase in solid-to-solid phase transformations, a suitable mathematical description for advancing phase front and its numerical solution are required. The advection equation can be used for simulating the propagating phase front. However, it is well known that simple explicit finite difference solution in this case is unstable. Averaging of the spatial derivative provides useful stabilization for the numerical scheme, but exacerbates numerical dissipation and broadening of the continuous function describing the diffuse phase front. Numerical experiments were made, where these problems were observed. Simple solution procedures were introduced that effectively solved the problems for time scales that were required for the numerical solver to operate in the designed context.
AIP conference proceedings
11th International Conference on Mathematical Modeling in Physical Sciences
|Host publication editor:||
International Conference on Mathematical Modeling in Physical Sciences
|Type of Publication:||
A4 Article in conference proceedings
|Field of Science:||
© 2023 Authors. Published by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Aarne Pohjonen; Numerical experiments on the solution of advection equation for moving phase interface: Encountered problems and their solutions. AIP Conf. Proc. 28 September 2023; 2872 (1): 090001, and may be found at https://doi.org/10.1063/5.0162938.