In the present work a method of numerical solution of multi‐interface two‐dimensional Stefan problem with explicit tracking of the interfaces in the domains of arbitrary form is considered. The method is based on the idea of dynamic adaptation of the calculated grid by means of transition to an arbitrary non‐stationary coordinate system. The coordinate system transformation is controlled by the solution. The method is described by using the example of the problem that is typical for treatment of materials with concentrated energy fluxes.
Santrauka. Straipsnyje nagrinėjamas dvimačio daugiasluoksnio Stefano uždavinio adaptyvus sprendimo algoritmas. Naudojamas išreikštinis fronto skaičiavimo algoritmas, leidžiantis rasti bet kokios formos kontūrus. Remiantis dinaminiu adaptavimo algoritmu, fizinė sritis yra atvaizduojama į fiksuotą skaičiavimo sritį. Transformacijos atvaizdavimas adaptyviai priklauso nuo pačio uždavinio sprendinio. Bendrasis metodas pateiktas dviejų medžiagų sąveikos uždaviniui. Naujojo algoritmo efektyvumas iliustruojamas skaičiavimo eksperimento rezultatais.
Mazhukin, V. I., & Chuiko, M. M. (2001). Solution of two‐dimensional multi‐interface Stefan problem by the method of dynamic adaptation. Mathematical Modelling and Analysis, 6(1), 129-137. https://doi.org/10.3846/13926292.2001.9637152
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
