Pub Date : 2024-01-22DOI: 10.1080/23324309.2024.2303506
Mohamed Abd Allah El-Hadidy, Alaa Awad Alzulaibani
In order to detect radionuclides and dangerous substances in a fractured medium with the least amount of time and maximum probability, this paper provides a revolutionary tracking model. It relies ...
{"title":"A Study on the Finiteness of a Tracking Method with Reduction in the Collision Time between a D-Dimensional Random Walk Particle and One of Multiple Nano-Sensors","authors":"Mohamed Abd Allah El-Hadidy, Alaa Awad Alzulaibani","doi":"10.1080/23324309.2024.2303506","DOIUrl":"https://doi.org/10.1080/23324309.2024.2303506","url":null,"abstract":"In order to detect radionuclides and dangerous substances in a fractured medium with the least amount of time and maximum probability, this paper provides a revolutionary tracking model. It relies ...","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"38 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139516486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-12DOI: 10.1080/23324309.2024.2303510
K. A. Pronin
We consider nonstationary diffusion in a medium with random traps-sinks. We study the self-averaging of the mean-square displacement (MSD) of the ensemble of N particles in the fluctuational long-t...
我们考虑了具有随机陷阱-汇的介质中的非稳态扩散。我们研究了 N 个粒子集合的均方位移（MSD）在波动长程中的自平均化。
{"title":"Fluctuations of Mean-Square Displacement in Presence of Traps: Non-Self-Averaging versus Ensemble Averaging","authors":"K. A. Pronin","doi":"10.1080/23324309.2024.2303510","DOIUrl":"https://doi.org/10.1080/23324309.2024.2303510","url":null,"abstract":"We consider nonstationary diffusion in a medium with random traps-sinks. We study the self-averaging of the mean-square displacement (MSD) of the ensemble of N particles in the fluctuational long-t...","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"18 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139470035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-18DOI: 10.1080/23324309.2023.2284202
I. Steldermann, M. Torrilhon, J. Kowalski
{"title":"Shallow Moments to Capture Vertical Structure in Open Curved Shallow Flow","authors":"I. Steldermann, M. Torrilhon, J. Kowalski","doi":"10.1080/23324309.2023.2284202","DOIUrl":"https://doi.org/10.1080/23324309.2023.2284202","url":null,"abstract":"","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":" 9","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138995177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-13DOI: 10.1080/23324309.2023.2292040
Dean Wang
In this paper, we deal with the differential properties of the scalar flux ϕ(x) defined over a two-dimensional bounded convex domain, as a solution to the integral radiation transfer equation. Esti...
{"title":"On Solution Regularity of the Two-Dimensional Radiation Transfer Equation and Its Implication on Numerical Convergence","authors":"Dean Wang","doi":"10.1080/23324309.2023.2292040","DOIUrl":"https://doi.org/10.1080/23324309.2023.2292040","url":null,"abstract":"In this paper, we deal with the differential properties of the scalar flux ϕ(x) defined over a two-dimensional bounded convex domain, as a solution to the integral radiation transfer equation. Esti...","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"32 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138679865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-04DOI: 10.1080/23324309.2023.2284198
M. R. A. Abdelmalik, Z. Cai, T. Pichard
The φ-divergence-based moment method was recently introduced Abdelmalik et al. for the discretization of the radiative transfer equation. At the continuous level, this method is very close to the e...
{"title":"On the Renormalization Maps for the φ-Divergence Moment Closures Applied in Radiative Transfer","authors":"M. R. A. Abdelmalik, Z. Cai, T. Pichard","doi":"10.1080/23324309.2023.2284198","DOIUrl":"https://doi.org/10.1080/23324309.2023.2284198","url":null,"abstract":"The φ-divergence-based moment method was recently introduced Abdelmalik et al. for the discretization of the radiative transfer equation. At the continuous level, this method is very close to the e...","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"18 5","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-29DOI: 10.1080/23324309.2023.2283469
William Morin, Fabien Giroux, James G. McDonald
This paper investigates the potential of moment closures as a possible path to future quantum hydrodynamics models. Moment closures are known to produce accurate predictions of continuum and non-eq...
{"title":"Application of Approximate Maximum-Entropy Moment Closure to the Wigner Equation","authors":"William Morin, Fabien Giroux, James G. McDonald","doi":"10.1080/23324309.2023.2283469","DOIUrl":"https://doi.org/10.1080/23324309.2023.2283469","url":null,"abstract":"This paper investigates the potential of moment closures as a possible path to future quantum hydrodynamics models. Moment closures are known to produce accurate predictions of continuum and non-eq...","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"23 6","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-27DOI: 10.1080/23324309.2023.2287008
P. H. S. Slompo, M. A. V. Pinto, M. L. Oliveira
Multiphase problems in porous media involve the complex flow of multiple fluid phases within porous structures, covering areas of Engineering, Medicine, Geology, among others. Understanding these p...
多孔介质中的多相问题涉及多孔结构中多相流体的复杂流动，涉及工程、医学、地质等领域。理解这些p…
{"title":"Comparison between Van Genuchten and Brooks-Corey Parameterizations in the Solution of Multiphase Problems in Rigid One-Dimensional Porous Media","authors":"P. H. S. Slompo, M. A. V. Pinto, M. L. Oliveira","doi":"10.1080/23324309.2023.2287008","DOIUrl":"https://doi.org/10.1080/23324309.2023.2287008","url":null,"abstract":"Multiphase problems in porous media involve the complex flow of multiple fluid phases within porous structures, covering areas of Engineering, Medicine, Geology, among others. Understanding these p...","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138542943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-19DOI: 10.1080/23324309.2023.2271229
Abdellatif Boureghda, Nadjate Djellab
AbstractIn this paper, we use the well-known Du Fort-Frankel finite difference scheme to solve the oxygen diffusion problem inside one cell which is modeled by an initial moving boundary value problem for one dimensional time-dependent partial differential equation. The main problem consists in tracking the moving boundary that represents the oxygen penetration depth inside the cell. We explore the possibilities of numerical approximation of the problem posed by the different formulations. Some numerical experiments are also provided with comparisons with analytical solution. The theoretical analysis is given for the numerical scheme. It is shown that all the results obtained by this method are compared with earlier authors.Keywords: Stefan problemsmoving boundary problemspartial differential equationsDu Fort-Frankel finite difference schemefinite difference methodsAMS SUBJECT CLASSIFICATION: 35R3535R3780A2265M0665N06 AcknowledgementsThe work described in this paper was supported by the research grant of Ferhat Abbas University Sétif 1 and From Algerian Ministry of Higher Education and Scientific Research (Project(PRFU) code. C00L03UN190120190002). Finally, the author is grateful to the referee for the careful reading of the paper and all useful suggestions and comments.Disclosure statementNo potential conflict of interest was reported by the authors.
{"title":"Du Fort-Frankel Finite Difference Scheme for Solving of Oxygen Diffusion Problem inside One Cell","authors":"Abdellatif Boureghda, Nadjate Djellab","doi":"10.1080/23324309.2023.2271229","DOIUrl":"https://doi.org/10.1080/23324309.2023.2271229","url":null,"abstract":"AbstractIn this paper, we use the well-known Du Fort-Frankel finite difference scheme to solve the oxygen diffusion problem inside one cell which is modeled by an initial moving boundary value problem for one dimensional time-dependent partial differential equation. The main problem consists in tracking the moving boundary that represents the oxygen penetration depth inside the cell. We explore the possibilities of numerical approximation of the problem posed by the different formulations. Some numerical experiments are also provided with comparisons with analytical solution. The theoretical analysis is given for the numerical scheme. It is shown that all the results obtained by this method are compared with earlier authors.Keywords: Stefan problemsmoving boundary problemspartial differential equationsDu Fort-Frankel finite difference schemefinite difference methodsAMS SUBJECT CLASSIFICATION: 35R3535R3780A2265M0665N06 AcknowledgementsThe work described in this paper was supported by the research grant of Ferhat Abbas University Sétif 1 and From Algerian Ministry of Higher Education and Scientific Research (Project(PRFU) code. C00L03UN190120190002). Finally, the author is grateful to the referee for the careful reading of the paper and all useful suggestions and comments.Disclosure statementNo potential conflict of interest was reported by the authors.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135779086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-20DOI: 10.1080/23324309.2023.2257394
Yusuf Olatunji Tijani, Mojeed Taiwo Akolade, Abdul Rahman Mohd Kasim
AbstractThe performance of Au and TiO2 nanoparticles in Casson flow propelled by the rotational effect subject to convective heating and variable Darcy phenomenon is presented. As a means to contribute significantly to the biomedical industry for proper prediction and treatment of diseases like cancer, stenosis, et cetera, the Casson fluid model and magnetohydrodynamic effect are employed in this study to investigate the bidirectional-rotating boundary layer flow of blood since Casson rheology best describe the mammalian blood flow dynamics and that blood is electrically conducting in nature. The enormous performance of nanoparticles made them extremely useful; hence, they gained recognition over the conventional refrigerants and were widely used by scientists, modelers, and researchers for controlling and treating diseases via drug targeting (chemotherapy), etc. In the three-dimensional plane, the assumed electrically conducting fluid conveying nanoparticles is properly mixed through the Coriolis force, thus rotating with angular velocity λ across the variable porous medium. A numerical tool, Chebyshev Collocation Method (CCM) with pseudo-spectral approach, is deployed on the resulting transformed ODEs. Profile distributions of respective boundary layers to distinct responses of model parameters, including the Eckman, Darcy, and Biot numbers on Au and TiO2 nanoparticles, are analyzed and discussed. The dominance of TiO2 nanoparticles on both velocities is revealed, while Au nanoparticles demonstrated a higher thermal performance rate. A rise in the Darcy parameter has a diametrically opposed behavior on the primary and secondary velocities.Keywords: Casson fluidMHDrotationboundary layer flowconvective AcknowledgmentsThe authors would like to thank the Ministry of Higher Education for providing financial support under Fundamental research grant No. (FRGS/1/2023/STG06/UMP/02/7). Appreciation also goes to Universiti Malaysia Pahang Al-Sultan Abdullah for encouragement and support.Disclosure statementThe authors read and approved the manuscript, in addition declared no conflict of interest.
{"title":"Transport Features on Bidirectional Nanofluid Flow with Convective Heating and Variable Darcy Regime","authors":"Yusuf Olatunji Tijani, Mojeed Taiwo Akolade, Abdul Rahman Mohd Kasim","doi":"10.1080/23324309.2023.2257394","DOIUrl":"https://doi.org/10.1080/23324309.2023.2257394","url":null,"abstract":"AbstractThe performance of Au and TiO2 nanoparticles in Casson flow propelled by the rotational effect subject to convective heating and variable Darcy phenomenon is presented. As a means to contribute significantly to the biomedical industry for proper prediction and treatment of diseases like cancer, stenosis, et cetera, the Casson fluid model and magnetohydrodynamic effect are employed in this study to investigate the bidirectional-rotating boundary layer flow of blood since Casson rheology best describe the mammalian blood flow dynamics and that blood is electrically conducting in nature. The enormous performance of nanoparticles made them extremely useful; hence, they gained recognition over the conventional refrigerants and were widely used by scientists, modelers, and researchers for controlling and treating diseases via drug targeting (chemotherapy), etc. In the three-dimensional plane, the assumed electrically conducting fluid conveying nanoparticles is properly mixed through the Coriolis force, thus rotating with angular velocity λ across the variable porous medium. A numerical tool, Chebyshev Collocation Method (CCM) with pseudo-spectral approach, is deployed on the resulting transformed ODEs. Profile distributions of respective boundary layers to distinct responses of model parameters, including the Eckman, Darcy, and Biot numbers on Au and TiO2 nanoparticles, are analyzed and discussed. The dominance of TiO2 nanoparticles on both velocities is revealed, while Au nanoparticles demonstrated a higher thermal performance rate. A rise in the Darcy parameter has a diametrically opposed behavior on the primary and secondary velocities.Keywords: Casson fluidMHDrotationboundary layer flowconvective AcknowledgmentsThe authors would like to thank the Ministry of Higher Education for providing financial support under Fundamental research grant No. (FRGS/1/2023/STG06/UMP/02/7). Appreciation also goes to Universiti Malaysia Pahang Al-Sultan Abdullah for encouragement and support.Disclosure statementThe authors read and approved the manuscript, in addition declared no conflict of interest.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-07DOI: 10.1080/23324309.2023.2240578
L. Stegeman, D. Fry, A. Bahadori
Abstract A new transport tool that simultaneously accounts for the impacts of external electromagnetic fields and bulk shielding material on charged particle dynamics, G4-ASPP, was developed to streamline active radiation shielding assessment and design for spacecraft. Transport simulations were performed to assess the accuracy and speed of G4-ASPP particle propagation methods in electromagnetic fields against standard methods. The time-step-based Velocity-Verlet propagation method and an analogous distance-stepping method used in G4-ASPP were derived. The symplecticity and phase-space conservation properties of each method are discussed. Results suggest the implementation of a 4th-order Runge-Kutta distance-stepping method into G4-ASPP to improve trajectory accuracy without sacrificing much speed.
{"title":"Development and Benchmarking of Charged Particle Propagation Methods in G4-ASPP","authors":"L. Stegeman, D. Fry, A. Bahadori","doi":"10.1080/23324309.2023.2240578","DOIUrl":"https://doi.org/10.1080/23324309.2023.2240578","url":null,"abstract":"Abstract A new transport tool that simultaneously accounts for the impacts of external electromagnetic fields and bulk shielding material on charged particle dynamics, G4-ASPP, was developed to streamline active radiation shielding assessment and design for spacecraft. Transport simulations were performed to assess the accuracy and speed of G4-ASPP particle propagation methods in electromagnetic fields against standard methods. The time-step-based Velocity-Verlet propagation method and an analogous distance-stepping method used in G4-ASPP were derived. The symplecticity and phase-space conservation properties of each method are discussed. Results suggest the implementation of a 4th-order Runge-Kutta distance-stepping method into G4-ASPP to improve trajectory accuracy without sacrificing much speed.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"52 1","pages":"269 - 313"},"PeriodicalIF":0.7,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48456700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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