An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh

Saad Bin Mansoor

doi:10.1007/978-3-031-64362-0_55

An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh

Saad Bin Mansoor^*

^*Corresponding author for this work

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The discrete-ordinates-method (DOM) is one of the primary numerical techniques for the solution of the Boltzmann Transport Equation (BTE) as well as other transport equations that have been derived from the BTE. These transport equations are used for the study of various phenomenon such as the radiation heat transfer in a participating media, heat conduction via phonon transport at the micro/nanometre scales, neutron transport theory, etc. DOM has traditionally been used in rectangular coordinates, however, relatively recently, the DOM technique has been fully extended to be applicable in structured, general, orthogonal as well as non-orthogonal coordinate systems. Orthogonal and non-orthogonal coordinate systems can be successfully used to cover complex, irregular geometrical domains with a structured mesh and hence an efficient solution procedure based on the DOM can be developed.

Original language	English
Title of host publication	Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE
Editors	Afaque Shams, Khaled Al-Athel, Iztok Tiselj, Andreas Pautz, Tomasz Kwiatkowski
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	612-618
Number of pages	7
ISBN (Print)	9783031643613
DOIs	https://doi.org/10.1007/978-3-031-64362-0_55
State	Published - 2024
Event	Saudi International Conference on Nuclear Power Engineering, SCOPE 2023 - Dhahran, Saudi Arabia Duration: 13 Nov 2023 → 15 Nov 2023

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	Saudi International Conference on Nuclear Power Engineering, SCOPE 2023
Country/Territory	Saudi Arabia
City	Dhahran
Period	13/11/23 → 15/11/23

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

Keywords

Boltzmann
Neutron transport
curvilinear
discrete-ordinates-method

ASJC Scopus subject areas

Automotive Engineering
Aerospace Engineering
Mechanical Engineering
Fluid Flow and Transfer Processes

Access to Document

10.1007/978-3-031-64362-0_55

Cite this

Mansoor, S. B. (2024). An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh. In A. Shams, K. Al-Athel, I. Tiselj, A. Pautz, & T. Kwiatkowski (Eds.), Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE (pp. 612-618). (Lecture Notes in Mechanical Engineering). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-64362-0_55

Mansoor, Saad Bin. / An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh. Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE. editor / Afaque Shams ; Khaled Al-Athel ; Iztok Tiselj ; Andreas Pautz ; Tomasz Kwiatkowski. Springer Science and Business Media Deutschland GmbH, 2024. pp. 612-618 (Lecture Notes in Mechanical Engineering).

@inproceedings{3634ce04c84e4ce897bb787a41807473,

title = "An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh",

abstract = "The discrete-ordinates-method (DOM) is one of the primary numerical techniques for the solution of the Boltzmann Transport Equation (BTE) as well as other transport equations that have been derived from the BTE. These transport equations are used for the study of various phenomenon such as the radiation heat transfer in a participating media, heat conduction via phonon transport at the micro/nanometre scales, neutron transport theory, etc. DOM has traditionally been used in rectangular coordinates, however, relatively recently, the DOM technique has been fully extended to be applicable in structured, general, orthogonal as well as non-orthogonal coordinate systems. Orthogonal and non-orthogonal coordinate systems can be successfully used to cover complex, irregular geometrical domains with a structured mesh and hence an efficient solution procedure based on the DOM can be developed.",

keywords = "Boltzmann, Neutron transport, curvilinear, discrete-ordinates-method",

author = "Mansoor, \{Saad Bin\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; Saudi International Conference on Nuclear Power Engineering, SCOPE 2023 ; Conference date: 13-11-2023 Through 15-11-2023",

year = "2024",

doi = "10.1007/978-3-031-64362-0\_55",

language = "English",

isbn = "9783031643613",

series = "Lecture Notes in Mechanical Engineering",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "612--618",

editor = "Afaque Shams and Khaled Al-Athel and Iztok Tiselj and Andreas Pautz and Tomasz Kwiatkowski",

booktitle = "Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE",

address = "Germany",

}

Mansoor, SB 2024, An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh. in A Shams, K Al-Athel, I Tiselj, A Pautz & T Kwiatkowski (eds), Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE. Lecture Notes in Mechanical Engineering, Springer Science and Business Media Deutschland GmbH, pp. 612-618, Saudi International Conference on Nuclear Power Engineering, SCOPE 2023, Dhahran, Saudi Arabia, 13/11/23. https://doi.org/10.1007/978-3-031-64362-0_55

An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh. / Mansoor, Saad Bin.
Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE. ed. / Afaque Shams; Khaled Al-Athel; Iztok Tiselj; Andreas Pautz; Tomasz Kwiatkowski. Springer Science and Business Media Deutschland GmbH, 2024. p. 612-618 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh

AU - Mansoor, Saad Bin

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

PY - 2024

Y1 - 2024

N2 - The discrete-ordinates-method (DOM) is one of the primary numerical techniques for the solution of the Boltzmann Transport Equation (BTE) as well as other transport equations that have been derived from the BTE. These transport equations are used for the study of various phenomenon such as the radiation heat transfer in a participating media, heat conduction via phonon transport at the micro/nanometre scales, neutron transport theory, etc. DOM has traditionally been used in rectangular coordinates, however, relatively recently, the DOM technique has been fully extended to be applicable in structured, general, orthogonal as well as non-orthogonal coordinate systems. Orthogonal and non-orthogonal coordinate systems can be successfully used to cover complex, irregular geometrical domains with a structured mesh and hence an efficient solution procedure based on the DOM can be developed.

AB - The discrete-ordinates-method (DOM) is one of the primary numerical techniques for the solution of the Boltzmann Transport Equation (BTE) as well as other transport equations that have been derived from the BTE. These transport equations are used for the study of various phenomenon such as the radiation heat transfer in a participating media, heat conduction via phonon transport at the micro/nanometre scales, neutron transport theory, etc. DOM has traditionally been used in rectangular coordinates, however, relatively recently, the DOM technique has been fully extended to be applicable in structured, general, orthogonal as well as non-orthogonal coordinate systems. Orthogonal and non-orthogonal coordinate systems can be successfully used to cover complex, irregular geometrical domains with a structured mesh and hence an efficient solution procedure based on the DOM can be developed.

KW - Boltzmann

KW - Neutron transport

KW - curvilinear

KW - discrete-ordinates-method

UR - https://www.scopus.com/pages/publications/85200768263

U2 - 10.1007/978-3-031-64362-0_55

DO - 10.1007/978-3-031-64362-0_55

M3 - Conference contribution

AN - SCOPUS:85200768263

SN - 9783031643613

T3 - Lecture Notes in Mechanical Engineering

SP - 612

EP - 618

BT - Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE

A2 - Shams, Afaque

A2 - Al-Athel, Khaled

A2 - Tiselj, Iztok

A2 - Pautz, Andreas

A2 - Kwiatkowski, Tomasz

PB - Springer Science and Business Media Deutschland GmbH

T2 - Saudi International Conference on Nuclear Power Engineering, SCOPE 2023

Y2 - 13 November 2023 through 15 November 2023

ER -

Mansoor SB. An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh. In Shams A, Al-Athel K, Tiselj I, Pautz A, Kwiatkowski T, editors, Challenges and Recent Advancements in Nuclear Energy Systems - Proceedings of Saudi International Conference on Nuclear Power Engineering SCOPE. Springer Science and Business Media Deutschland GmbH. 2024. p. 612-618. (Lecture Notes in Mechanical Engineering). doi: 10.1007/978-3-031-64362-0_55

An Exposition of the Discrete Ordinates Method for Complex Irregular Geometries Utilizing a Structured Mesh

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this