Volume Integral Research Articles

Integrating Underground Space into the Groundscape Resilience Concept

Underground space has always been used as a resilient solution in addressing the need for safety in terms of climate conditions and defense purposes. This research seeks to recognize the potential of the underground space in the city as a significant urban resilience strategy, with the aim of revealing how contemporary underground architecture is integrated with the public spaces on the surface and how this groundscape integration contributes to the quality of the use of the public spaces to achieve urban resilience. Public spaces have a crucial role in the environmental, social, and sustainable context of the city and are considered urban domains for spatial urban intervention that contribute to urban resilience in its broader understanding. Based on the review of underground space research and the comparative analysis of selected contemporary design projects, the research explores the integration of underground space in correlation with its utilization model based on contemporary design projects. The research results in the systematization of underground utilization among underground infrastructure, underground living settlements, and urban development to offer insights into the enhancement of resilience planning through the contemporary multifunctional usage of underground space. The contribution of this research is reflected in the methodology of developing the criteria for a groundscape resilience concept, in terms of perceiving underground space as an integral urban layer, its multifunctional utilization, and in terms of achieving urban resilience.

Study of the dynamics of the main indicators of the activity of transport enterprises in the conditions of the introduction of innovation

In the context of logistics integration, it is important to conduct analytical activities to study the effectiveness of marketing innovations in a timely manner. To form an idea of the effectiveness of marketing activities, it is necessary to study the influence of various factors on the performance indicator, in the case of logistics, this may be the volume of transported goods. The motive for writing the article was to study the capabilities of standard software for analyzing the effectiveness of economic processes in general, and in particular the results of innovative activities. The purpose of the article is to analyze the innovation, namely the integration of the logistics space in a certain region, for four companies in the Northern Black Sea region in order to assess the potential of these companies in the provision of transport services, taking into account the implemented innovation. The study used information provided by transport companies from 2013 to 2022. The choice of the focus of the study in the field of transport support is due to the importance of the quality of transport support for the functioning of the economy, especially in the context of cross-border movement of components and goods, raw materials and finished products. For the optimal study of the innovation efficiency, studies were conducted for two periods, namely from 2013 to 2019, and from 2013 to 2022. The analysis used the tools of mathematical analysis (function derivatives) for polynomial trend equations. It was found that for all four companies that participated in the implementation of the innovation, namely in the formation of an integrated logistics space with the creation of a common rolling stock base and the search for algorithms for the most optimal use of vehicles for cargo transportation, there is a positive dynamics of the total volume of cargo transportation, which indicates the effectiveness of the innovation. The introduction of innovations in logistics is the main condition for increasing the level of transport provision of the economy, which provides opportunities for a more systematic and comprehensive development of the economy. The integration of the logistics space on the example of four companies in the Black Sea region allowed not only to improve the quality of transport services, but also to increase the total profit of the group of companies, which indicates the effectiveness of marketing innovations. The results of the study can be used to replicate the innovation to other transport enterprises both within the region and for other regions. The proposed methodology for analyzing the effectiveness of innovations can be extended to other innovations in various sectors of the economy.

Parallel superposition of small-amplitude oscillatory shear flow upon steady shear flow from rotarance theory

The power of a macromolecular theory for the transport properties of a polymeric liquid increases with the number of analytical expressions for its most important material functions. In this work, we add another of these canonical function to our recent series of material function derivations for rotarance theory. By rotarance theory, we mean the explanation of the elasticity of polymeric liquids by use of (i) the diffusion equation to get the orientation distribution in Euler coordinates, and (ii) the integration in phase space using this distribution to get the target material function. In this paper, we target parallel superposition of oscillatory shear flow upon steady shear flow. We arrive at analytical expressions for both parts of the complex viscosity in parallel superposition. We find that these explain the classic experimental observations in parallel superposition: (a) the maximum in the real part of the complex viscosity, and (b) the negative values of minus its imaginary part, and (c) the independence of the steady mean shear stress from the superposed oscillation.

Numerical modeling of wave interaction with a porous floating structure consisting of uniform spheres

Porous materials are increasingly being used in the design of floating structures in coastal and ocean engineering, but there is a lack of numerical tools that can aid in the design of a movable floating porous structure. To close this gap, the existing volume-averaged numerical model for flow interacting with a fixed porous body was extended to floating scenarios by (1) using the relative velocity in the porous friction force, (2) calculating rigid body motion using volume integral of porous body force, and (3) modifying a dynamic mesh algorithm for a mobile porous body. As a demonstration, the developed model was applied to a porous floating structure consisting of cubically packed uniform spheres. Two sets of model applications were involved. The first set considered three-dimensional flow around a fixed porous block placed beneath the free surface. The measured total force on the block under wave or steady flows was predicted accurately with an error less than 10%. The second set involved a two-dimensional wave interacting with a floating porous block representing a breakwater. For free-floating conditions, the model can accurately predict the dynamic response of the structure, including the time varying movement of its rigid body and the mean drift. For mooring-restrained conditions, the mooring force and wave transmission coefficients were also predicted well with an error less than 20%. The proposed numerical approach can be applied to other floating structures with a rigid volumetric porous body. Future research is also required to study the microscopic pore flows, upon which more detailed parameterization of the porous media can be derived.

Thermal vortex ring: vortex-dynamics analysis of a high-resolution simulation

A high-resolution simulation of a thermal vortex ring is analysed from the point of view of the vortex dynamics. A power-spectrum analysis of vortex-ring sections suggests that the simulated flows are overall ‘two dimensional’ in the large-scale limit, being dominated by axisymmetric components, but with a substantial contribution from the non-axisymmetric component at small scales. Contribution of the non-axisymmetric components is negligible in budgets of volume integrals of the vorticity and potential vorticity as well as the impulse (moments of the vorticity weighted by $s^n$ with $n=-1$ , 0, 1, where $s$ is the distance from the vertical axis of the vortex ring). A concise description of the dynamics is obtained as a function of geometrical factors together with these three integral variables. Analysis shows that the geometrical factors are fairly close to constant with time, and thus, a redundant closed description of the system is obtained in the similarity regime after spin up of the vortex ring. This redundancy leads to a constraint on the geometrical factors, which is reasonably satisfied by the simulation. A closed description is also obtained over the initial spin-up period of the vortex ring by adding a phenomenologically derived prognostic equation for the source for the volume integral of the potential vorticity (with $n=-1$ ). Analysis of the budget supports this description.

Spatial syntax analysis on the renewal of the external space of mining heritage buildings —— A case study of Zollverein Coal Mine Industrial Complex

ABSTRACT The renovation of external spaces of mining heritage buildings should respect their historical and cultural value and be adapted to the specific characteristics of the mining area for spatial restructuring and functional replacement. Current research often relies on subjective experience and focuses on qualitative analysis, lacking in-depth quantitative analysis. Building upon the summary of research on mining heritage exterior spaces and spatial syntax studies, this paper proposes a research methodology that quantitatively analyzes the accessibility and integration of mining heritage exterior spaces using spatial syntax convex space and axis map models. Taking the exterior connecting spaces and characteristic spaces before and after the renovation of the German Zollverein Coal Mine Industrial Complex as the research objects, the impact of spatial location on different circulation organizations and functions of spatial places is visually expressed, providing a more intuitive explanation of the complex relationships in mining heritage exterior spaces. The research findings reveal that the spatial syntax model is adaptable in evaluating the renovation of mining heritage exterior spaces, with spaces exhibiting high integration being essentially consistent with key and highly utilized exterior spaces within the renovated mining area. In summary, it can be concluded that the integration of mining heritage exterior spaces and consequently the utilization rate and value can be improved through spatial “Connection”, “Growth”, and “Darning”, thereby offering direct reference for subsequent research and practical organization of mining heritage architectural exterior space renewal.

Automatic segmentation of intraluminal thrombosis of abdominal aortic aneurysms from CT angiography using a mixed-scale-driven multiview perception network (M2Net) model

Intraluminal thrombosis (ILT) plays a critical role in the progression of abdominal aortic aneurysms (AAA). Understanding the role of ILT can improve the evaluation and management of AAAs. However, compared with highly developed automatic vessel lumen segmentation methods, ILT segmentation is challenging. Angiographic contrast agents can enhance the vessel lumen but cannot improve boundary delineation of the ILT regions; the lack of intrinsic contrast in the ILT structure significantly limits the accurate segmentation of ILT. Additionally, ILT is not evenly distributed within AAAs; its sparsity and scattered distributions in the imaging data pose challenges to the learning process of neural networks. Thus, we propose a multiview fusion approach, allowing us to obtain high-quality ILT delineation from computed tomography angiography (CTA) data. Our multiview fusion network is named Mixed-scale-driven Multiview Perception Network (M2Net), and it consists of two major steps. Following image preprocessing, the 2D mixed-scale ZoomNet segments ILT from each orthogonal view (i.e., Axial, Sagittal, and Coronal views) to enhance the prior information. Then, the proposed context-aware volume integration network (CVIN) effectively fuses the multiview results.Using contrast-enhanced computed tomography angiography (CTA) data from human subjects with AAAs, we evaluated the proposed M2Net. A quantitative analysis shows that the proposed deep-learning M2Net model achieved superior performance (e.g., DICE scores of 0.88 with a sensitivity of 0.92, respectively) compared with other state-of-the-art deep-learning models. In closing, the proposed M2Net model can provide high-quality delineation of ILT in an automated fashion and has the potential to be translated into the clinical workflow.

‘A trouble to the whole house’: the Frankford's plague‐time home in Thomas Heywood's A Woman Killed with Kindness

AbstractCriticism in early modern English drama continues to expose the socio‐spatial anxieties generated by plague that shaped both plays and the playhouse space. What has not yet been considered in any detail, however, are the numerous public health measures born out of these anxieties that altered the lived experience of space during outbreaks. This article begins to address this lacuna by reading Thomas Heywood's domestic tragedy A Woman Killed with Kindness through the lens of contemporary plague prevention. Plague policy repurposed the home into a space that might not only contain the infected but, with competent governance, might also provide the first line of defence against infection. Woman Killed, a play that likely premiered in the wake of an outbreak, is vigorously alert to the dynamics of plague‐time domestic space and the onus placed on householders to cleanse and manage the home and its peripheries. This article examines how Heywood draws on plague prevention practices to introduce and remove ‘infectious’ sources to and from the Frankford home. Heywood utilizes the cultural immediacy of plague measures to expose and explore the dangers of female adultery that, like plague, threatened the integrity and autonomy of domestic space.

Tchakaloff-like compression of QMC volume and surface integration on the union of balls

Tchakaloff-like compression of QMC volume and surface integration on the union of balls

Two-loop master integrals for leading-color pp→tt¯H\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ pp\ o t\\overline{t}H $$\\end{document} amplitudes with a light-quark loop

We compute the two-loop master integrals for leading-color QCD scattering amplitudes including a closed light-quark loop in tt¯H\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ t\\overline{t}H $$\\end{document} production at hadron colliders. Exploiting numerical evaluations in modular arithmetic, we construct a basis of master integrals satisfying a system of differential equations in ϵ-factorized form. We present the analytic form of the differential equations in terms of a minimal set of differential one-forms. We explore properties of the function space of analytic solutions to the differential equations in terms of iterative integrals which can be exploited for studying the analytic form of related scattering amplitudes. Finally, we solve the differential equations using generalized series expansions to numerically evaluate the master integrals in physical phase space. As the first computation of a set of two-loop seven-scale master integrals, our results provide valuable input for analytic studies of scattering amplitudes in processes involving massive particles and a large number of kinematic scales.

Railway security checks at the border: between intrusive security technologies and fundamental traveller rights

Background European railway borders are facing a particular exposure to security threats and need a delicate securitization and free movement, especially amid globalisation, the current geopolitical landscape and increased migrant flows. For example, the war in Ukraine illustrated the challenges experienced at the Eastern EU borders by the refugee migration surge in early 2022. Methods This paper will focus on the European border security control process from the rail border perspective. It will encompass the lessons learned from the UIC Refugee Task Force as well as insights from the ongoing EU-funded Horizon Europe project ODYSSEUS (Unobtrusive Technologies for Secure and Seamless Border Crossing for Travel Facilitation). Project ODYSSEUS aims to support the security and integrity of the European space, reduce illegal movements of people and goods across EU borders, facilitate travelling for citizens all while protecting fundamental rights of travellers. Results The project will test a combination of multi-behavioural and General Data Protection Regulation (GDPR) compliant biometric user identity verification tools, allowing citizens to cross EU border without any interruption or queue. Further, novel luggage and baggage checks will allow citizens’ vehicles and cargos to be remotely checked at land borders to speed up the border check processes in a secure and reliable manner. The project will run three pilot tests at road, rail and water borders. Conclusion In this paper, we analyse the implementation of project’s technologies in the rail border crossing pilot test and discuss the implications for the actors involved in the process of railway border crossing (e.g., border authorities, railway operators and railway travellers).

Voronoi Structure of Space Integration with an Applied Roundabout Network – Part I

Voronoi Structure of Space Integration with an Applied Roundabout Network – Part I

Language-aware multiple datasets detection pretraining for DETRs

Pretraining on large-scale datasets can boost the performance of object detectors while the annotated datasets for object detection are hard to scale up due to the high labor cost. What we possess are numerous isolated filed-specific datasets, thus, it is appealing to jointly pretrain models across aggregation of datasets to enhance data volume and diversity. In this paper, we propose a strong framework for utilizing Multiple datasets to pretrain DETR-like detectors, termed METR, without the need for manual label spaces integration. It converts the typical multi-classification in object detection into binary classification by introducing a pre-trained language model. Specifically, we design a category extraction module for extracting potential categories involved in an image and assign these categories into different queries by language embeddings. Each query is only responsible for predicting a class-specific object. Besides, to adapt our novel detection paradigm, we propose a Class-wise Bipartite Matching strategy that limits the ground truths to match queries assigned to the same category. Extensive experiments demonstrate that METR achieves extraordinary results on either multi-task joint training or the pretrain & finetune paradigm. Notably, our pre-trained models have high flexible transferability and increase the performance upon various DETR-like detectors on COCO val2017 benchmark. Our code is publicly available at: https://github.com/isbrycee/METR.

Towards healthier, enabling environments for all: positioning the ‘runnability of cities’ as a spatial planning approach

ABSTRACT The interplay between urban design and public health is a critical concern in modern cities, with the COVID-19 pandemic underscoring the necessity of accessible, safe, and health-promoting urban environments. This paper aimed to unpack the concept of ‘runnability’ as a cornerstone of healthy urban environments, advocating for the integration of running-friendly spaces into city planning, in order to enhance border public health and well-being. The paper followed a reflective praxis methodology, combining academic research with introspective analysis of running experiences, and offers novel insights into the subjective dimensions of urban runnability. Our findings advocate for a global initiative to promote runnable cities through transdisciplinary collaboration, infrastructure development, policy reform, educational efforts, and design innovation. By positioning ‘runnable cities’ as a spatial planning approach, there could be global progress towards healthier, enabling environments for all.

Integer Optimal Control with Fractional Perimeter Regularization

Motivated by many applications, optimal control problems with integer controls have recently received a significant attention. Some state-of-the-art work uses perimeter-regularization to derive stationarity conditions and trust-region algorithms. However, the discretization is difficult in this case because the perimeter is concentrated on a set of dimension d-1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$d - 1$$\\end{document} for a domain of dimension d. This article proposes a potential way to overcome this challenge by using the fractional nonlocal perimeter with fractional exponent 0<α<1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$0<\\alpha <1$$\\end{document}. In this way, the boundary integrals in the perimeter regularization are replaced by volume integrals. Besides establishing some non-trivial properties associated with this perimeter, a Γ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\Gamma $$\\end{document}-convergence result is derived. This result establishes convergence of minimizers of fractional perimeter-regularized problem, to the standard one, as the exponent α\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\alpha $$\\end{document} tends to 1. In addition, the stationarity results are derived and algorithmic convergence analysis is carried out for α∈(0.5,1)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\alpha \\in (0.5,1)$$\\end{document} under an additional assumption on the gradient of the reduced objective. The theoretical results are supplemented by a preliminary computational experiment. We observe that the isotropy of the total variation may be approximated by means of the fractional perimeter functional.

Integral theorems for the gradient of a vector field, with a fluid dynamical application

The familiar divergence and Kelvin–Stokes theorem are generalized by a tensor-valued identity that relates the volume integral of the gradient of a vector field to the integral over the bounding surface of the tensor product of the vector field with the exterior normal. The importance of this long-established yet relatively little-known result is discussed. In flat two-dimensional space, it reduces to a relationship between an integral over an area and that over its bounding curve, combining the two-dimensional divergence and Kelvin–Stokes theorems together with two related theorems involving the strain, as is shown through a decomposition using a suitable tensor basis. A fluid dynamical application to oceanic observations along the trajectory of a moving platform is given. The potential extension of the generalized two-dimensional identity to curved surfaces is considered and is shown not to hold. Finally, the paper includes a substantial background section on tensor analysis, and presents results in both symbolic notation and index notation in order to emphasize the correspondence between these two notational systems.

Study of circulating liquid fuel in a 1D critical system with thermal feedback

This research focuses on the description and modeling of a one-dimensional molten salt reactor (MSR), in the presence of thermal feedback. Following the example of previous works, a simple one-dimensional system is proposed, describing a molten salt reactor with a main neutron-multiplying zone called core and a recirculation loop where the salt cools down. Specific attention is paid to the precursors’ drift by modifying the neutron balance equation. Liquid nuclear fuels are characterized by a high volumetric expansion coefficient in comparison to customary solid fuels. Therefore, a strong coupling between neutronics and thermal-hydraulics is expected. As a consequence, a highly negative density coefficient characterizes the thermal feedback on the neutron reactivity. The precursor equation is here inverted analytically and combined with the neutron balance equation to obtain a generalized eigenvalue problem with the neutron flux distribution as the unknown. The balance equations are derived by finite volume integration over a discretized mesh, and the coupling between the two physical models is treated by Picard iterations. The numerical solution is finally extended to time-dependent calculations and compared to an analytical work for a one-dimensional circulating fuel reactor already existing in the literature.

High order numerical treatment of the Riesz space fractional advection-dispersion equation via matrix transform method

In this paper, a mixed high order finite difference scheme-Padé approximation method is applied to obtain numerical solution of the Riesz space fractional advection-dispersion equation(RSFADE). This method is based on the high order finite difference scheme that derived from fractional centered difference and Padé approximation method for space and time integration, respectively. The stability analysis of the proposed method is discussed via theoretical matrix analysis. Numerical experiments are presented to confirm the theoretical results of the proposed method.

Reconfigurando Trujillo: Un estudio de la sintaxis espacial y su influencia para la articulación territorial y optimización urbana

This study analyzes the influence of spatial syntax on articulation in 36 urban sectors of Trujillo, with the objective of identifying strategies to optimize the planning and urban design of the city. Through a detailed analysis of the spatial conFiguration, we seek to understand how the relationships between different urban components affect territorial and social cohesion. Likewise, this knowledge can be applied to improve the integration and functionality of urban spaces, using geo-referenced information systems applied in the analysis of spatial syntax and its four dimensions, patterns of connectivity, accessibility and spatial segregation were identified. The findings reveal that the nine sectors with high spatial integration promote greater social interaction and accessibility, while the nine sectors with low connectivity present challenges in terms of segregation and isolation. These results underscore the importance of incorporating principles of spatial syntax into urban planning and management to foster more cohesive and equitable performance-based environments. The study concludes with specific recommendations addressed to urban planners and designers, highlighting the need for integrated approaches that consider spatial complexity for effective territorial articulation in Trujillo.

Grey relation analysis and multiple criteria decision analysis method model for suitability evaluation of underground space development

Underground space is an important asset for urban development, but its development comes with inherent risks. Therefore, in order to evaluate the risk of underground space development, we utilized 3D modeling and grey relational analysis (GRA) for decision-making, and evaluated underground space development through attribute modeling. First, the underground space was categorized into 4 layers according to depth and 15 important influencing factors were identified. Then, the weights of these factors (soft soil thickness, liquefaction index of saturated sand, etc.) were determined using analytic hierarchy process (AHP), criteria importance through intercriteria correlation (CRITIC), and GRA. Finally, the study area was divided into 1,197,778 evaluation units, each measuring 30 m × 30 m. The suitability of each unit was evaluated using the Multiple Criteria Decision Analysis (MCDA) combined with the GRA method. The experimental results show a commendable performance compared to the combined “AHP + multilevel exponential superposition” approach. In addition, the computing efficiency is reduced by about 30%, the stability is improved by at least 20%, and the reliability is improved by about 10%. The study enhances the decision-making integration of GRA, MCDA and underground space, improves the efficiency and accuracy of underground space risk evaluation, and provides a valuable basis for the field related to underground space development. Code is available at https://github.com/NX-first/underground-space-engineering-development.git.