Numerical implementation of the Lame equation with complex boundary conditions

S. B. Sorokin; A. G. Maksimova; G. G. Lazareva; A. S. Arakcheev

doi:10.1088/1742-6596/1336/1/012016

Numerical implementation of the Lame equation with complex boundary conditions

S. B. Sorokin, A. G. Maksimova, G. G. Lazareva, A. S. Arakcheev

Research output: Contribution to journal › Conference article › peer-review

Abstract

A discrete model is constructed for calculating the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack is specified on one of the boundaries. Calculation of microcracks will enable better assessment of the relevance of the simulation and finding out which mechanisms will occur in the case of plasma flow heating in modern plasma and future thermonuclear installations.

Original language	English
Article number	012016
Journal	Journal of Physics: Conference Series
Volume	1336
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1336/1/012016
Publication status	Published - 20 Nov 2019
Event	2nd Workshop on Numerical Modeling in MHD and Plasma Physics: Methods, Tools, and Outcomes, MHD-PP 2019 - Moscow, Russian Federation Duration: 10 Oct 2019 → 11 Oct 2019

Access to Document

10.1088/1742-6596/1336/1/012016

Cite this

@article{f72de74a50d9489d97477e04cef0ebce,

title = "Numerical implementation of the Lame equation with complex boundary conditions",

abstract = "A discrete model is constructed for calculating the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack is specified on one of the boundaries. Calculation of microcracks will enable better assessment of the relevance of the simulation and finding out which mechanisms will occur in the case of plasma flow heating in modern plasma and future thermonuclear installations.",

author = "Sorokin, {S. B.} and Maksimova, {A. G.} and Lazareva, {G. G.} and Arakcheev, {A. S.}",

year = "2019",

month = nov,

day = "20",

doi = "10.1088/1742-6596/1336/1/012016",

language = "English",

volume = "1336",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "2nd Workshop on Numerical Modeling in MHD and Plasma Physics: Methods, Tools, and Outcomes, MHD-PP 2019 ; Conference date: 10-10-2019 Through 11-10-2019",

}

TY - JOUR

T1 - Numerical implementation of the Lame equation with complex boundary conditions

AU - Sorokin, S. B.

AU - Maksimova, A. G.

AU - Lazareva, G. G.

AU - Arakcheev, A. S.

PY - 2019/11/20

Y1 - 2019/11/20

N2 - A discrete model is constructed for calculating the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack is specified on one of the boundaries. Calculation of microcracks will enable better assessment of the relevance of the simulation and finding out which mechanisms will occur in the case of plasma flow heating in modern plasma and future thermonuclear installations.

AB - A discrete model is constructed for calculating the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack is specified on one of the boundaries. Calculation of microcracks will enable better assessment of the relevance of the simulation and finding out which mechanisms will occur in the case of plasma flow heating in modern plasma and future thermonuclear installations.

UR - http://www.scopus.com/inward/record.url?scp=85076223144&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1336/1/012016

DO - 10.1088/1742-6596/1336/1/012016

M3 - Conference article

AN - SCOPUS:85076223144

VL - 1336

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012016

T2 - 2nd Workshop on Numerical Modeling in MHD and Plasma Physics: Methods, Tools, and Outcomes, MHD-PP 2019

Y2 - 10 October 2019 through 11 October 2019

ER -

Numerical implementation of the Lame equation with complex boundary conditions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this