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On the Semi-Analytical Solution of Displacement Thickness in a Laminar Streamwise Corner Flow Assisted by Computational Fluid Dynamics Simulation 基于计算流体动力学模拟的层流角流位移厚度半解析解
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2023-01-02 DOI: 10.1080/23324309.2023.2171063
E. Bumrungthaichaichan, Prajaree Unaprom, Pakapong Sathianchok, S. Wattananusorn
{"title":"On the Semi-Analytical Solution of Displacement Thickness in a Laminar Streamwise Corner Flow Assisted by Computational Fluid Dynamics Simulation","authors":"E. Bumrungthaichaichan, Prajaree Unaprom, Pakapong Sathianchok, S. Wattananusorn","doi":"10.1080/23324309.2023.2171063","DOIUrl":"https://doi.org/10.1080/23324309.2023.2171063","url":null,"abstract":"Abstract In this paper, the new semi-analytical correlation for displacement thickness of laminar fluid flow along an arbitrary-angle corner formed by the intersection of two plates has been proposed because of the discrepancy in displacement thickness for strong interference corner between the present computational fluid dynamics simulation and previous analytical correlation.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43023049","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}
引用次数: 0
On a Response Matrix Solver for Slab-Geometry Neutral Particle Transport Problems in the Discrete Ordinates and Energy Multigroup Formulations Considering Non-Uniform Interior Sources 离散坐标系中板几何中性粒子输运问题的响应矩阵求解器和考虑非均匀内源的能量多组公式
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2023-01-02 DOI: 10.1080/23324309.2023.2194294
L.R.C. Moraes, R. Barros, R. Vasques
{"title":"On a Response Matrix Solver for Slab-Geometry Neutral Particle Transport Problems in the Discrete Ordinates and Energy Multigroup Formulations Considering Non-Uniform Interior Sources","authors":"L.R.C. Moraes, R. Barros, R. Vasques","doi":"10.1080/23324309.2023.2194294","DOIUrl":"https://doi.org/10.1080/23324309.2023.2194294","url":null,"abstract":"Abstract We present in this work an extension of the Response Matrix (RM) method for the numerical solution of slab-geometry neutral particle transport equation in the discrete ordinates (S ) and energy multigroup formulations considering non-uniform sources. By using the term non-uniform we mean that the particle source is not spatially uniform inside the regions that compose the domain. The extended RM method, differently from the conventional RM method, is based on the solution of “source-independent” auxiliary problems (Green’s functions). The solution of these auxiliary problems is used in conjunction with the given non-uniform source to generate the sweeping matrices for the extended RM method. Numerical results with respect to both uniform and non-uniform source problems are given to illustrate the efficiency of the offered extended RM method.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42286540","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}
引用次数: 0
Half-Space Albedo Problem with Pure-Triplet Scattering and Legendre Polynomial Outgoing Flux 具有纯三重散射和勒让德多项式出射通量的半空间反照率问题
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-11-10 DOI: 10.1080/23324309.2022.2150645
A. Z. Bozkır, D. C. Sahni, R. G. Türeci
{"title":"Half-Space Albedo Problem with Pure-Triplet Scattering and Legendre Polynomial Outgoing Flux","authors":"A. Z. Bozkır, D. C. Sahni, R. G. Türeci","doi":"10.1080/23324309.2022.2150645","DOIUrl":"https://doi.org/10.1080/23324309.2022.2150645","url":null,"abstract":"Abstract In this study, the albedo problem is investigated with three different methods, method, method, and SVD method. The first two methods are used for the comparison of the SVD method results. Therefore, the main aim of this study is to study of the SVD method for albedo problem. The recently improved method is based on usage of the transformation of the integral part to a sum in the one-speed, source free, and homogeneous medium neutron transport equation. This sum term is written with two different ways. One of them is to use midpoint approximation and the second is to use linear approximation. The numerical results of the SVD method are compared with both the method and the method results. Another different situation of this study is to use a series of the Legendre polynomials for the outgoing flux over the surface.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44410331","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}
引用次数: 0
The Milne Problem with the Anlı-Güngör Scattering 立即散射的Milne问题
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-09-19 DOI: 10.1080/23324309.2022.2141780
R. G. Türeci
{"title":"The Milne Problem with the Anlı-Güngör Scattering","authors":"R. G. Türeci","doi":"10.1080/23324309.2022.2141780","DOIUrl":"https://doi.org/10.1080/23324309.2022.2141780","url":null,"abstract":"Abstract Recently developed the Anlı-Güngör scattering function is applied to the Milne problem in this study. It is the function of Legendre polynomials with t parameter which can be called as scattering parameter. The extrapolation distance values are calculated for varying t parameters and varying secondary neutron numbers with the HN method. The numerical results are calculated by 40th approximation in order to get high precision results. The calculated extrapolation distance results are very convergence. Since there is no a similar study for the Milne problem with the Anlı-Güngör scattering in the literature, the interpolation technique is applied to the HN method results. Thus, the isotropic scattering results could be determined by t → 0 limit.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46781000","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}
引用次数: 2
The Milne Problem for Linear-Triplet Anisotropic Scattering with HN Method 用HN方法求解线性三重各向异性散射的Milne问题
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-09-19 DOI: 10.1080/23324309.2022.2141779
D. Gülderen, D. C. Sahni, R. G. Türeci, A. Aydιn
{"title":"The Milne Problem for Linear-Triplet Anisotropic Scattering with HN Method","authors":"D. Gülderen, D. C. Sahni, R. G. Türeci, A. Aydιn","doi":"10.1080/23324309.2022.2141779","DOIUrl":"https://doi.org/10.1080/23324309.2022.2141779","url":null,"abstract":"Abstract The Milne problem is investigated for the linear-triplet anisotropic scattering with HN method in this study. The scattering function is the linear combination of linear anisotropic scattering and triplet anisotropic scattering in Mika’s scattering. The positivity condition is needed to find physical results since the scattering function defines the scattering probabilities. It defines the relationship between the scattering coefficients. HN method is based on using the Case method. Therefore, properties of the Case method should be derived for the scattering function. The linear anisotropic scattering is the dominant scattering according to the calculated results.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42137859","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}
引用次数: 3
Effect of Temperature Dependent Sink on Peristaltic Transport in a Differentially Heated Vertical Annulus Filled with a Porous Material 温度相关水槽对填充多孔材料的差热垂直环空中蠕动传输的影响
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-09-19 DOI: 10.1080/23324309.2022.2145311
A. Tiwari, Akshay K. Singh
{"title":"Effect of Temperature Dependent Sink on Peristaltic Transport in a Differentially Heated Vertical Annulus Filled with a Porous Material","authors":"A. Tiwari, Akshay K. Singh","doi":"10.1080/23324309.2022.2145311","DOIUrl":"https://doi.org/10.1080/23324309.2022.2145311","url":null,"abstract":"Abstract In this article, we have presented a mathematical analysis to study the peristaltic flow through vertical annulus filled with a porous material bounded by two concentric uniform tubes. This analysis can serve as a model which may help in understanding the mechanism of physiological flows and heat transfer in a vertical annulus subject to differentially heating in the presence of a temperature dependent sink. The inner tube is uniform and rigid, while the outer tube has a sinusoidal wave traveling down its wall. It is analyzed in a wave frame of reference moving with velocity of the wave under a zero Reynolds number and long wavelength approximation in the presence of a temperature dependent sink. The analytical solutions are obtained for temperature, axial velocity, stream function and axial pressure-gradient. We also present numerical integration in order to analyze the pressure rise and frictional forces on the inner and outer tubes. In order to have an estimate of the quantitative effects of various emerging physical parameters on flow characteristics which are involved in the solutions of the considered analysis, we have used the MATLAB software for plotting the contour graphs and discussed in details. We have observed that the intensity of heat sink increases when amplitude ratio is increased. The trapped bolus appears when Darcy number is small but the important observation is that for the large values of Darcy number, the trapped bolus disappears and fluid moves like a block, which shows some sort of rigidity.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46099739","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}
引用次数: 0
A Deterministic Adjoint-Based Semi-Analytical Algorithm for Fast Response Change Computations in Proton Therapy 质子治疗中快速反应变化计算的一种基于确定性伴随的半解析算法
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-08-25 DOI: 10.1080/23324309.2023.2166077
T. Burlacu, D. Lathouwers, Z. Perkó
{"title":"A Deterministic Adjoint-Based Semi-Analytical Algorithm for Fast Response Change Computations in Proton Therapy","authors":"T. Burlacu, D. Lathouwers, Z. Perkó","doi":"10.1080/23324309.2023.2166077","DOIUrl":"https://doi.org/10.1080/23324309.2023.2166077","url":null,"abstract":"Abstract In this paper we propose a solution to the need for a fast particle transport algorithm in Online Adaptive Proton Therapy capable of cheaply, but accurately computing the changes in patient dose metrics as a result of changes in the system parameters. We obtain the proton phase-space density through the product of the numerical solution to the one-dimensional Fokker-Planck equation and the analytical solution to the Fermi-Eyges equation. Moreover, a corresponding adjoint system was derived and solved for the adjoint flux. The proton phase-space density together with the adjoint flux and the metric (chosen as the energy deposited by the beam in a variable region of interest) allowed assessing the accuracy of our algorithm to different perturbation ranges in the system parameters and regions of interest. The algorithm achieved negligible errors ( ) for small Hounsfield unit (HU) perturbation ranges (–40 HU to 40 HU) and small to moderate errors (3% to 17%) – in line with the well-known limitation of adjoint approaches – for large perturbation ranges (–400 HU to 400 HU) in the case of most clinical interest where the region of interest surrounds the Bragg peak. Given these results coupled with the capability of further improving the timing performance it can be concluded that our algorithm presents a viable solution for the specific purpose of Online Adaptive Proton Therapy.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49620860","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}
引用次数: 0
Analytical Discrete-Ordinates Solutions for Improved 1D Models of Particle Transport in Ducts with Wall Migration 具有壁面迁移的管道中粒子输运改进一维模型的离散坐标解析解
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-07-29 DOI: 10.1080/23324309.2022.2110898
R. D. Garcia
{"title":"Analytical Discrete-Ordinates Solutions for Improved 1D Models of Particle Transport in Ducts with Wall Migration","authors":"R. D. Garcia","doi":"10.1080/23324309.2022.2110898","DOIUrl":"https://doi.org/10.1080/23324309.2022.2110898","url":null,"abstract":"Abstract Analytical discrete-ordinates (ADO) solutions are developed for two improved one-dimensional (1D) models of particle transport in ducts that include wall migration. One of the studied models is based on an approximation of the transverse and azimuthal dependencies of the angular flux in terms of two basis functions, while the other uses three. Particle migration in the wall is modeled by an exponential displacement kernel. Numerical results for duct reflection and transmission probabilities are reported for various test cases, including some cases of thermal-neutron transport through iron, concrete, and graphite ducts that have been defined and studied by other authors. A comparison is performed with a set of published results comprising realistic results obtained with the Monte Carlo code MCNP and results from a numerical implementation of the discrete-ordinates method for the model based on three basis functions. To resolve some issues raised during the comparison process, a numerical discrete-ordinates solution of the problem has also been implemented in the course of this work.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43243419","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}
引用次数: 1
“On the Foundation of Transport-Driven Diffusion for Neutron Transport Problems” “关于中子输运问题的输运驱动扩散的基础”
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-07-29 DOI: 10.1080/23324309.2022.2110897
P. Picca, R. Furfaro, S. Dulla, P. Ravetto
{"title":"“On the Foundation of Transport-Driven Diffusion for Neutron Transport Problems”","authors":"P. Picca, R. Furfaro, S. Dulla, P. Ravetto","doi":"10.1080/23324309.2022.2110897","DOIUrl":"https://doi.org/10.1080/23324309.2022.2110897","url":null,"abstract":"Abstract The article presents the foundation of a novel methodology developed for the solution of the neutron transport equation, named the transport driven-diffusion approach, which can be considered as an evolution of the classic multiple collision method. The idea behind this method is based on the expansion of the full solution in terms of the contributions of the particles emitted by successive collisions plus a residual term, accounting for particles which have undergone more than a predefined number of collisions. In order to determine the contribution at each collision order, a transport equation with a source term is solved, while the estimation of the residue is based on a diffusion theory model. The physical rationale for the choice of the diffusion model for the residue is discussed and justified, as physics suggests that the diffusion assumptions become more applicable for the description of the particles having suffered a certain number of collisions rather than to the original transport problem. Some results are presented for a set of steady-state and time-dependent test cases. Their analysis shows the remarkable advantage of the method proposed in terms of accuracy and computational time, when compared to standard diffusion and multiple collision at the same order.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46840519","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}
引用次数: 0
The Ln/Ln0 Method for 1D Neutron Transport in a Slab Medium 平板介质中一维中子输运的Ln/Ln0方法
IF 0.7 4区 工程技术
Journal of Computational and Theoretical Transport Pub Date : 2022-07-29 DOI: 10.1080/23324309.2022.2111443
B. Ganapol
{"title":"The Ln/Ln0 Method for 1D Neutron Transport in a Slab Medium","authors":"B. Ganapol","doi":"10.1080/23324309.2022.2111443","DOIUrl":"https://doi.org/10.1080/23324309.2022.2111443","url":null,"abstract":"Abstract A new, highly precise benchmark for the monoenergetic 1 D neutron transport equation with isotropic scattering, based on Case’s singular eigenfunctions, is presented. Because of the nature of singular distributions, Case’s analytical solution notoriously resists straightforward numerical computation. To overcome this difficulty, two complementary Lagrange interpolation schemes are constructed to achieve extreme precision (∼8 to 10 places) for number of secondaries in the range 0.001 < c < 0.99999 and slab thicknesses in the range 1 < Δ <100.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43679712","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}
引用次数: 1
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