Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Preprints of the Keldysh Institute of Applied Mathematics, 2016, 066, 27 pp.
DOI: https://doi.org/10.20948/prepr-2016-66 (Mi ipmp2142) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finite element method for transient heat equation in 3D with consideration of phase transitions

M. P. Galanin, N. N. Proshunin, A. S. Rodin, D. L. Sorokin
Full-text PDF (1325 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.20948/prepr-2016-66
Abstract: The three-dimensional heat equation is considered, which takes into account the presence of convective terms and phase transitions. Finite element method for the problem as well as two time discretization schemes are described. For the phase transition problem the enthalpy smoothing method is used. The algorithm for the monotization of the convection-diffusion equation solution is examined. Several test results are presented.
Keywords: heat equation, finite element method, phase transitions, smoothing methods, convective heat transfer, monotonization of solution.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03073_а
16-31-00302_мол_а
Document Type: Preprint
Language: Russian
Citation: M. P. Galanin, N. N. Proshunin, A. S. Rodin, D. L. Sorokin, “Finite element method for transient heat equation in 3D with consideration of phase transitions”, Keldysh Institute preprints, 2016, 066, 27 pp.
Citation in format AMSBIB
\Bibitem{GalProRod16}
\by M.~P.~Galanin, N.~N.~Proshunin, A.~S.~Rodin, D.~L.~Sorokin
\paper Finite element method for transient heat equation in 3D with consideration of phase transitions
\jour Keldysh Institute preprints
\yr 2016
\papernumber 066
\totalpages 27
\mathnet{http://mi.mathnet.ru/ipmp2142}
\crossref{https://doi.org/10.20948/prepr-2016-66}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2142
  • https://www.mathnet.ru/eng/ipmp/y2016/p66
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:501
    Full-text PDF :281
    References:61
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024