New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium

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New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium. / Mikhailov, Guennady A.; Medvedev, Ilia N.

In: Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 36, No. 4, 01.08.2021, p. 219-225.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{04beb9cbb5af4fd6b18fb1a2c5b7be22,

title = "New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium",

abstract = "Correlative randomized algorithms are constructed by simple randomization of the algorithm of maximum cross-section (equalization, delta tracking) with the use of a one-dimensional distribution and the correlation function or only correlation length of a random medium. The value of the used correlation length can be adjusted using simple test studies. The calculations carried out confirmed the practical effectiveness of the new algorithms. ",

keywords = "computational cost, correlation length, correlative randomized algorithms, gamma radiation transfer, Maximum cross-section method (delta tracking), stochastic medium",

author = "Mikhailov, {Guennady A.} and Medvedev, {Ilia N.}",

note = "Publisher Copyright: {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston.",

year = "2021",

month = aug,

day = "1",

doi = "10.1515/rnam-2021-0018",

language = "English",

volume = "36",

pages = "219--225",

journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",

issn = "0927-6467",

publisher = "Walter de Gruyter GmbH",

number = "4",

}

RIS

TY - JOUR

T1 - New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium

AU - Mikhailov, Guennady A.

AU - Medvedev, Ilia N.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - Correlative randomized algorithms are constructed by simple randomization of the algorithm of maximum cross-section (equalization, delta tracking) with the use of a one-dimensional distribution and the correlation function or only correlation length of a random medium. The value of the used correlation length can be adjusted using simple test studies. The calculations carried out confirmed the practical effectiveness of the new algorithms.

AB - Correlative randomized algorithms are constructed by simple randomization of the algorithm of maximum cross-section (equalization, delta tracking) with the use of a one-dimensional distribution and the correlation function or only correlation length of a random medium. The value of the used correlation length can be adjusted using simple test studies. The calculations carried out confirmed the practical effectiveness of the new algorithms.

KW - computational cost

KW - correlation length

KW - correlative randomized algorithms

KW - gamma radiation transfer

KW - Maximum cross-section method (delta tracking)

KW - stochastic medium

UR - http://www.scopus.com/inward/record.url?scp=85117912948&partnerID=8YFLogxK

U2 - 10.1515/rnam-2021-0018

DO - 10.1515/rnam-2021-0018

M3 - Article

AN - SCOPUS:85117912948

VL - 36

SP - 219

EP - 225

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 4

ER -

ID: 34598028