Analytical and numerical solutions of two-dimensional problems of heat conduction and electronic optics

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Analytical and numerical solutions of two-dimensional problems of heat conduction and electronic optics. / Kurbatova, Galina I.; Vinogradova, Ekaterina M.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 17, No. 4, 2021, p. 345-352.

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Author

Kurbatova, Galina I. ; Vinogradova, Ekaterina M. / Analytical and numerical solutions of two-dimensional problems of heat conduction and electronic optics. In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2021 ; Vol. 17, No. 4. pp. 345-352.

BibTeX

@article{0cb7097e45704f6ea995ad20374e826a,

title = "Analytical and numerical solutions of two-dimensional problems of heat conduction and electronic optics",

abstract = "This work is devoted to a comparative analysis of the effectiveness of various methods for the numerical solution of a non-stationary two-dimensional problem of heat conduction in a cylindrical coordinate system in the absence of axial symmetry. The analysis is carried out on the basis of the obtained analytical solution of the two-dimensional problem of heat conduction in a steady state. The results of this work are of great applied importance in calculating the processes of gas transportation through offshore pipelines, as well as in calculating the electrostatic field of focusing systems during transportation of charged particle beams in problems of electronic optics.",

keywords = "Electronic optics, Frontal interval method, Heat exchange model, Numerical method with increased accuracy, Offshore gas pipelines",

author = "Kurbatova, {Galina I.} and Vinogradova, {Ekaterina M.}",

year = "2021",

doi = "10.21638/11701/SPBU10.2021.403",

language = "English",

volume = "17",

pages = "345--352",

journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",

issn = "1811-9905",

publisher = "Издательство Санкт-Петербургского университета",

number = "4",

}

RIS

TY - JOUR

T1 - Analytical and numerical solutions of two-dimensional problems of heat conduction and electronic optics

AU - Kurbatova, Galina I.

AU - Vinogradova, Ekaterina M.

PY - 2021

Y1 - 2021

N2 - This work is devoted to a comparative analysis of the effectiveness of various methods for the numerical solution of a non-stationary two-dimensional problem of heat conduction in a cylindrical coordinate system in the absence of axial symmetry. The analysis is carried out on the basis of the obtained analytical solution of the two-dimensional problem of heat conduction in a steady state. The results of this work are of great applied importance in calculating the processes of gas transportation through offshore pipelines, as well as in calculating the electrostatic field of focusing systems during transportation of charged particle beams in problems of electronic optics.

AB - This work is devoted to a comparative analysis of the effectiveness of various methods for the numerical solution of a non-stationary two-dimensional problem of heat conduction in a cylindrical coordinate system in the absence of axial symmetry. The analysis is carried out on the basis of the obtained analytical solution of the two-dimensional problem of heat conduction in a steady state. The results of this work are of great applied importance in calculating the processes of gas transportation through offshore pipelines, as well as in calculating the electrostatic field of focusing systems during transportation of charged particle beams in problems of electronic optics.

KW - Electronic optics

KW - Frontal interval method

KW - Heat exchange model

KW - Numerical method with increased accuracy

KW - Offshore gas pipelines

UR - http://www.scopus.com/inward/record.url?scp=85125333946&partnerID=8YFLogxK

U2 - 10.21638/11701/SPBU10.2021.403

DO - 10.21638/11701/SPBU10.2021.403

M3 - Article

AN - SCOPUS:85125333946

VL - 17

SP - 345

EP - 352

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 4

ER -

ID: 100507113