Application of fourier and wavelet methods to analysis of positron emission particle tracking data

A. Halidou; D. V.V. Kallon; A. Nel; I. Govender; A. N. Mainza

Application of fourier and wavelet methods to analysis of positron emission particle tracking data

A. Halidou
, D. V.V. Kallon
, A. Nel
, I. Govender
, A. N. Mainza

Mechanical and Industrial Engineering Technology

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

Abstract

This paper presents Fourier and wavelet methods applied to data derived from Positron Emission Particle Tracking (PEPT) experiments conducted at the iThemba LABS outside Cape Town in South Africa. The iThemba LABS runs a specialized cyclotron which produces positrons for use in medical PET and industrial-related PEPT research. The methods are applied as an aid in developing a computational procedure for determining the value of the circulation rates of the charge found in typical industrial tumbling mills. The circulation rate values are obtained as fundamental harmonics from power spectral plots using Fourier analysis. The wavelet method is applied to identify and remove noise from the data in order to improve on the computationally determined value of the circulation rate. For the analysis presented herein, parameters are obtained directly from the flow dynamics of the PEPT tracer particle.

Original language	English
Title of host publication	Proceedings of the 6th European Conference on Computational Mechanics
Subtitle of host publication	Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
Editors	Roger Owen, Rene de Borst, Jason Reese, Chris Pearce
Publisher	International Centre for Numerical Methods in Engineering, CIMNE
Pages	3357-3369
Number of pages	13
ISBN (Electronic)	9788494731167
Publication status	Published - 2020
Event	6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, United Kingdom Duration: 11 Jun 2018 → 15 Jun 2018

Publication series

Name	Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018

Conference

Conference	6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018
Country/Territory	United Kingdom
City	Glasgow
Period	11/06/18 → 15/06/18

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

Keywords

Contact Problems
DEM
FEM
Granular Materials

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Mechanics of Materials
Mechanical Engineering

Cite this

Halidou, A., Kallon, D. V. V., Nel, A., Govender, I., & Mainza, A. N. (2020). Application of fourier and wavelet methods to analysis of positron emission particle tracking data. In R. Owen, R. de Borst, J. Reese, & C. Pearce (Eds.), Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 (pp. 3357-3369). (Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018). International Centre for Numerical Methods in Engineering, CIMNE.

Halidou, A. ; Kallon, D. V.V. ; Nel, A. et al. / Application of fourier and wavelet methods to analysis of positron emission particle tracking data. Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. editor / Roger Owen ; Rene de Borst ; Jason Reese ; Chris Pearce. International Centre for Numerical Methods in Engineering, CIMNE, 2020. pp. 3357-3369 (Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018).

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title = "Application of fourier and wavelet methods to analysis of positron emission particle tracking data",

abstract = "This paper presents Fourier and wavelet methods applied to data derived from Positron Emission Particle Tracking (PEPT) experiments conducted at the iThemba LABS outside Cape Town in South Africa. The iThemba LABS runs a specialized cyclotron which produces positrons for use in medical PET and industrial-related PEPT research. The methods are applied as an aid in developing a computational procedure for determining the value of the circulation rates of the charge found in typical industrial tumbling mills. The circulation rate values are obtained as fundamental harmonics from power spectral plots using Fourier analysis. The wavelet method is applied to identify and remove noise from the data in order to improve on the computationally determined value of the circulation rate. For the analysis presented herein, parameters are obtained directly from the flow dynamics of the PEPT tracer particle.",

keywords = "Contact Problems, DEM, FEM, Granular Materials",

author = "A. Halidou and Kallon, \{D. V.V.\} and A. Nel and I. Govender and Mainza, \{A. N.\}",

note = "Publisher Copyright: copyright {\textcopyright} Crown copyright (2018).All right reserved.; 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 ; Conference date: 11-06-2018 Through 15-06-2018",

year = "2020",

language = "English",

series = "Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018",

publisher = "International Centre for Numerical Methods in Engineering, CIMNE",

pages = "3357--3369",

editor = "Roger Owen and \{de Borst\}, Rene and Jason Reese and Chris Pearce",

booktitle = "Proceedings of the 6th European Conference on Computational Mechanics",

}

Halidou, A, Kallon, DVV, Nel, A, Govender, I & Mainza, AN 2020, Application of fourier and wavelet methods to analysis of positron emission particle tracking data. in R Owen, R de Borst, J Reese & C Pearce (eds), Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018, International Centre for Numerical Methods in Engineering, CIMNE, pp. 3357-3369, 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018, Glasgow, United Kingdom, 11/06/18.

Application of fourier and wavelet methods to analysis of positron emission particle tracking data. / Halidou, A.; Kallon, D. V.V.; Nel, A. et al.
Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. ed. / Roger Owen; Rene de Borst; Jason Reese; Chris Pearce. International Centre for Numerical Methods in Engineering, CIMNE, 2020. p. 3357-3369 (Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018).

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

TY - GEN

T1 - Application of fourier and wavelet methods to analysis of positron emission particle tracking data

AU - Halidou, A.

AU - Kallon, D. V.V.

AU - Nel, A.

AU - Govender, I.

AU - Mainza, A. N.

PY - 2020

Y1 - 2020

N2 - This paper presents Fourier and wavelet methods applied to data derived from Positron Emission Particle Tracking (PEPT) experiments conducted at the iThemba LABS outside Cape Town in South Africa. The iThemba LABS runs a specialized cyclotron which produces positrons for use in medical PET and industrial-related PEPT research. The methods are applied as an aid in developing a computational procedure for determining the value of the circulation rates of the charge found in typical industrial tumbling mills. The circulation rate values are obtained as fundamental harmonics from power spectral plots using Fourier analysis. The wavelet method is applied to identify and remove noise from the data in order to improve on the computationally determined value of the circulation rate. For the analysis presented herein, parameters are obtained directly from the flow dynamics of the PEPT tracer particle.

AB - This paper presents Fourier and wavelet methods applied to data derived from Positron Emission Particle Tracking (PEPT) experiments conducted at the iThemba LABS outside Cape Town in South Africa. The iThemba LABS runs a specialized cyclotron which produces positrons for use in medical PET and industrial-related PEPT research. The methods are applied as an aid in developing a computational procedure for determining the value of the circulation rates of the charge found in typical industrial tumbling mills. The circulation rate values are obtained as fundamental harmonics from power spectral plots using Fourier analysis. The wavelet method is applied to identify and remove noise from the data in order to improve on the computationally determined value of the circulation rate. For the analysis presented herein, parameters are obtained directly from the flow dynamics of the PEPT tracer particle.

KW - Contact Problems

KW - DEM

KW - FEM

KW - Granular Materials

UR - https://www.scopus.com/pages/publications/85081065649

M3 - Conference contribution

AN - SCOPUS:85081065649

T3 - Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018

SP - 3357

EP - 3369

BT - Proceedings of the 6th European Conference on Computational Mechanics

A2 - Owen, Roger

A2 - de Borst, Rene

A2 - Reese, Jason

A2 - Pearce, Chris

PB - International Centre for Numerical Methods in Engineering, CIMNE

T2 - 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018

Y2 - 11 June 2018 through 15 June 2018

ER -

Halidou A, Kallon DVV, Nel A, Govender I, Mainza AN. Application of fourier and wavelet methods to analysis of positron emission particle tracking data. In Owen R, de Borst R, Reese J, Pearce C, editors, Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. International Centre for Numerical Methods in Engineering, CIMNE. 2020. p. 3357-3369. (Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018).

Application of fourier and wavelet methods to analysis of positron emission particle tracking data

Abstract

Publication series

Conference

UN SDGs

Keywords

ASJC Scopus subject areas

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