Numerical Analysis Methods - Science method

Thermal bridges have a significant impact on the energy efficiency of buildings, but their accurate assessment remains a challenge. In this paper, a novel method for estimating the Ψ-values of thermal bridges and their contribution to the transmission heat losses (Htr,TB) is proposed to solve this problem. The proposed method involves calculating t...

Agile Earth observation satellites (AEOSs) are a new generation of Earth observation satellites. To promote the aerospace application of non-track active imaging with a large scope and long duration for AEOSs, an improved numerical analysis method of on-orbit dynamic infrared radiation is proposed in this paper. Based on a model of the spaceborne c...

Micro hydroelectric power plants (micro HPP) generate electricity using small volumes of water flows. This technology is of great importance in agriculture as a sustainable source of energy that is economically and environmentally friendly. This study is devoted to the numerical analysis of the efficiency of a micro hydroelectric power plant based...

To study the interference effects of the fuselage/rear-mounted propeller on the aerodynamic and aeroacoustic characteristics at a forward speed of Ma = 0.323, a multi-component flowfield simulation and an aeroacoustic prediction method were employed. Firstly, hybrid grids were adopted in the embedded grid system, and a new boundary identification m...

This paper presents a novel coupling cascaded method (CCM) to address the computational accuracy degradation encountered in two-port strongly coupled cascaded microwave networks (SCCMN) when employing microwave network analysis algorithm, which arises from the electromagnetic coupling effects between microwave networks. Based on the CCM, a binary i...

Vehicle load is one of the primary factors influencing fatigue damage in reinforced concrete beam bridges, and diseases of bearings will accelerate the fatigue damage of beam bridges, but most of the current studies only consider the influence of vehicle load on the fatigue damage of beam bridges. In order to evaluate the fatigue damage of T-beam b...

This study focuses on analyzing the buckling properties of imperfect spherical shells, accounting for the uncertainty parameters of a spherical shell under external pressure. These parameters include geometric imperfections, thickness variations, material property variations, and boundary condition variations. A numerical analysis method utilizing...

The main objective of this paper is to address the instability and dynamical bifurcation of the viscous incompressible fluid between two concentric cylinders, which is called Taylor–Dean problem. Compared with traditional numerical analysis methods, our analysis is based on the recently developed nonlinear theory: the bifurcation and stability theo...

In coal mining, mine ventilation systems are susceptible to interference from high-concentration gas, which may induce airflow oscillations. Investigating these mechanisms is critical for ensuring coal mine safety. Given the limited research on airflow oscillations in open-loop mine systems, this study comprehensively examined airflow oscillation b...

As the core equipment of the transmission system, the high hot spot temperature of the transformer will accelerate the ageing of the transformer, which will lead to thermal faults. It has become an urgent task to introduce digital technology to monitor and analyse the hot spot temperature in real time. In this paper, the magnetic, current and therm...

Japan Atomic Energy Agency is developing an integrated evaluation tool as a design system named ARKADIA to achieve the innovative design of an advanced nuclear reactor with safety and economy for a sustainable carbon-free energy source. ARKADIA consists of three sub-systems: the Enhanced and AI-aided optimization System (EAS), the Virtual plant Lif...

Delayed ettringite formation (DEF) is a durability issue that can cause concrete expansion and cracking. While significant efforts have been made to investigate the microscopic mechanisms of DEF expansion, relatively few studies have focused on structural models. Understanding the effect of stress on DEF expansion is crucial for evaluating the perf...

Computer-aided engineering (CAE) is widely used in the industry as an approximate numerical analysis method for solving complex engineering and product structural mechanical performance problems. However, with the increasing complexity of structural and performance requirements, the traditional research paradigm based on experimental observations,...

Objective: The objective of the study is to investigate the pressure drop analytically, numerically and experimentally in the main air line of the pipeline milking system. Material and Methods: The study was carried out in a pipeline milking system, where the main air line consists of a galvanized straight pipe nominally 50 mm in diameter, with one...

Optical elements based on periodic lattices are important components in optics and photonics. Numerical analysis methods such as rigorous coupled‐wave analysis are widely utilized to investigate these structures. Despite the high precision of numerical methods, the intricate periodicity of lattices hinders comprehensive physical analysis, emphasizi...

Compared with ordinary steels, stainless steels possess advantages such as robust corrosion resistance, beautiful appearance, and excellent ductility. This article investigated the performance of a novel C-shaped folded flange section stainless steel beam with web stiffeners under bending and shear interaction, with a focus on the effect of the web...

The paper presents a numerical analysis of the possibilities of replacing the aluminum serpentines in the current construction of battery thermal management systems (BTMS) with cooling serpentines made of fireproof composite materials with high heat transfer parameters (fireproof epoxy resin + nano boron nitride). This approach was given by the nee...

This study aims to analyze the bearing capacity of shallow foundations on excavation slopes using computer programs with numerical analysis methods and manual calculations using the Meyerhof method to calculate bearing capacity. Numerical analysis methods are used to model the complex interactions between shallow foundations and the surrounding soi...

The Belousov-Zhabotinsky (BZ) reaction is a very famous case of non-linear chemical oscillator known to present complex spatiotemporal patterns like traveling and spiral waves. The kinetics of this plasmid-borne circuit was essential in many applications where knowledge of the dynamics (at that molecular reactions context) were mandatory to determi...

We developed an inversion program to apply the finite volume method (FVM) to consider the topography. In the 3D magnetotelluric (MT) forward modeling, we must consider the effect of the topography because it appears as a distortion of the data. FVM is a numerical analysis method that can consider topography. We adopted FVM and the H-forming equatio...

A 14 degree of freedom mechanical model of the dual rotor flywheel battery under the influence of tilt angle was established based on the overall method and isolation method, and its differential equations were derived. The fourth-order Runge Kutta method in Matlab was used to solve and analyze the vibration characteristics of the flywheel rotor.Th...

To address thermal effects in end-pumped solid-state lasers, this paper introduces a new motion concept called “quasi-rotating” and proposes a specialized method for evaluating the thermal focal length of dynamic gain medium, which proves valuable for resonator design. Using the finite element numerical analysis method, we analyze the changes of th...

In insurance risk management, the probability of ruin is a very important metric to assess. In this article, we give an approximation of the probability of ruin at the infinite horizon, where the inter-arrivals of claims follow the HAWKES process and the amount of claims follows the WEIBULL distribution, with independence between its two processes....

Effective seepage management is crucial for the structural integrity and operational safety of earth dams. This paper presents a detailed evaluation of seepage control strategies implemented at the Shahid Yaghoubi and Maloo dams in Khorasan Razavi province, Iran. Our study utilizes hydrological and structural data to assess the impact of specific i...

This article takes the linear inclined vibrating screen (TLIVS) as the research object, establishes a spatial 6-degree-of-freedom dynamic model of TLIVS, and verifies the correctness of the established model through comparison between real experiments and simulation experiments. Steady-state response of TLIVS is solved by numerical analysis method,...

A highly efficient combustion chamber is always desired for high performance from jet engines/rocket engines. This paper presents the novel numerical analysis method for optimizing the combustion characteristics of methane (CH4) in an annular combustion chamber, achieving a maximum exit velocity nearly Mach 5. The velocity achieved is 1650 m/s, whi...

As an important type of microbial carbonate, the study of bioherm sedimentary models is of great significance to the exploration and development of carbonate rock. Bioherms from the Lower Zhangxia Formation of the Middle Cambrian Miaolingian were discovered in the Xiaweidian section of Western Hills, Beijing. The stratigraphic sequence from bottom...

Slope stability is essential for mitigating landslides and erosion risks, especially during heavy rainfall. Vegetation significantly enhances slope stability through soil reinforcement and erosion control. Plant roots stabilize the soil matrix, reducing the likelihood of shallow landslides. However, vegetation's impact varies, with different types...

Fracture is a key factor for high and stable reservoir production in Ordovician carbonatite fracture-cavity reservoirs in the Tahe Oilfield. In this paper, we firstly identify and statistically analyse the medium to small scale fractures in the Ordovician carbonate reservoirs of the Tarim Basin Tahe Oilfield by using a large amount of thin section,...

This paper selects key indicators between party building system inputs and new quality productivity output elements of universities and adopts the correlation method to study the relationship between such elements. From the perspective of mathematical analysis, we can show the interactive relationship between intelligent party building inputs and s...

Soft marine soil exhibits unique mechanical properties that can lead to significant deformation and instability in the surrounding rock of urban subway tunnels. This presents a critical challenge for tunnel engineering researchers and designers. This thesis investigates the stability characteristics of surrounding rock in marine soft soil tunnels u...

Wind energy potential can be estimated in a specific area using the Probability density function (PDF). PDF is used for the mean wind speed data on daily basis. This paper represents the analysis of the climatology of the mean wind speed data for Askalan city on the Mediterranean coastal plain of Palestine. A selection of the PDF had been implement...

Wind energy potential can be estimated in a specific area using the Probability density function (PDF). PDF is used for the mean wind speed data on daily basis. This paper represents the analysis of the climatology of the mean wind speed data for Askalan city on the Mediterranean coastal plain of Palestine. A selection of the PDF had been implement...

In this study, we present optical and numerical analysis methods to enhance the absorbed power of metallic nanoantenna arrays on a glass substrate under solar irradiance. A comprehensive exploration of various materials (Au, Pt, core-shell Ag-Pt, and Al-Al\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}...

Isogeometric Analysis (IGA) is a numerical analysis method for structures that arises with the proposal of unification between design and simulation, allowing the creation of computational models that preserve the exact geometry of the problem. This approach is possible by a class of mathematical functions called NURBS (Non-Uniform Rational B-Splin...

In order to study the effect of seepage and stress coupling on excavation deformation of foundation pit, finite element numerical analysis method is used in this paper, taking a hanging water curtain foundation pit project under construction in the rich water stratum area of the Yangtze River floodplain as an example. By comparing the deformation i...

The bearing capacity of a foundation is crucial for ensuring the stability and safety of structures. However, shallow foundations on unsaturated soils pose challenges due to the complicated behavior of such soils. To address this issue, engineers have developed analytical and numerical methods of analysis, which can be used to determine the bearing...

In recent years, numerous studies highlighted the crucial role of the soil–structure interaction (SSI) in the seismic performance of basement structures. However, there remains a limited understanding of how this interaction affects buildings with basement structures under varying site conditions. Based on the three-dimensional (3D) numerical analy...

The finite volume method (FVM) is a kind of numerical analysis method that is simple and can take into account the topography as the finite element method (FEM). The adjoint state method (ASM) can easily and efficiently calculate the gradient vector of the objective function for the inversion. We developed a program to apply these methods to 3-D Ma...

The finite volume method (FVM) is a kind of numerical analysis method that is simple and can take into account the topography as the finite element method (FEM). The adjoint state method (ASM) can easily and efficiently calculate the gradient vector of the objective function for the inversion. We developed a program to apply these methods to 3-D Ma...

Existing numerical analysis methods often incur high computational costs when directly solving multi-degree-of-freedom systems due to computer capacity limitations. To address this issue, this paper took the composite laminated concentrically stiffened rectangular plate as the research object. The modal synthesis method was employed to reduce the d...

Digital microfluidic chips (DMCs) have shown the ability to flexibly manipulate droplets and particles, which is meaningful for biomedical applications in drug screening and clinical diagnostics. As a critical component of DMCs, the dielectric layer, with its key physical parameters (permittivity and thickness), directly determines the voltage dist...

The aim of this study was to improve the performances of three-bladed vertical-axis wind turbines with gap distance. For this purpose, turbine design conditions such as a gap ratio between the blades and the addition of blades were changed to provide performance increase, and an aerodynamic performance-enhancing performance setup placed in front of...

Applied Element Method (AEM) is a relatively new and advanced numerical analysis method by which structural behavior from elastic range to total collapse can be simulated. AEM combines the advantages and capabilities of Finite Element Method (FEM) and Discrete Element Method (DEM). The structural system is modeled as an assemblage of small rigid bo...

Currently, there is no systematic summary of the influence of the nonlinear terms in piston theory on the panel flutter. The two-dimensional nonlinear panel flutter equations under supersonic airflow based on the first, second, and third-order piston theories is established. The stability of the heated panel is analyzed by using the Lyapunov's indi...

Bolted joints, with their advantages of simple structure and convenient disassembly and assembly, are widely used in complex equipment fields such as aerospace systems and weaponry. Subject to complex mechanical loads, the contact surfaces may undergo nonlinear behaviors such as contact–separation and viscous slip, leading to the nonlinear degradat...

The authors aim to develop a numerical analysis method that can appropriately assess the impact on the surrounding environment when designing disposal sites for excavated rock that contains naturally occurring arsenic. We investigated the elution behavior of arsenic in embankments made using tunnel excavation rock, and we confirmed the permeability...

Deep neural networks have been extensively used for the solution of both the forward and the inverse problem for dynamical systems. However, their implementation necessitates optimizing a high-dimensional space of parameters and hyperparameters. This fact, along with the requirement of substantial computational resources, pose a barrier to achievin...

Reinforced concrete structures featuring discontinuity regions are complex to design and often susceptible to errors linked to numerical analysis methods. For such structural design problems, strut-and-tie models offer a simple, intuitive and safe design method based on the lower bound theorem of plasticity. Although intuitive, the derivation of st...

In order to ensure the safety of the tunnel approaching the fault and prevent water inrush disasters, and then take reasonable protective measures, a fault-tunnel-surrounding rock is established by using a three-dimensional (3D) discrete element numerical analysis method, which takes into account the fluid-structure coupling effect. Based on the me...

Improving the mixing homogeneity of heterogeneous powder in real time plays an essential role in ensuring the forming quality of functionally graded materials (FGM) produced by laser-directed energy deposition (L-DED). In order to achieve a high performance of material composition and proportion control as forming FGM parts, this paper investigates...

The concrete used in the main structures of subway stations has a high degree of constraint. Consequently, temperature changes and shrinkage during construction frequently lead to significant constraint stress, which can result in structural cracking. Therefore, cement with low hydration heat is commonly used in engineering to reduce the temperatur...

Strain rockburst is a severe failure phenomenon caused by the release of elastic strain energy in intact rocks under high-stress conditions. They frequently occur in deep tunnels, causing significant economic losses, casualties, and construction delays. Understanding the factors influencing this disaster is of significance for tunnel construction....

Cavitation phenomena in pumps are major determinants of the lifespan of both the impeller and the pump itself, causing significant vibration and noise, which are critical concerns for pump designers. This study focuses on the influence of various geometric factors of the impeller, including the shape of the blade leading edge, blade inlet angle, nu...

In order to investigate the gradual change law of vibration characteristics of steel truss structures under the influence of fatigue loading and uniform corrosion, this study combines the nonlinear cumulative fatigue damage rule, corrosion depth theory, and structural residual performance theory to establish a multi-level gradually changing perform...

This paper focuses on the investigation of conducted electromagnetic interference (EMI) in a two-level onboard charging system for electric vehicles. It analyzes the mechanisms and coupling paths of conducted EMI in the system, identifying that EMI primarily originates from the switching actions of power components and propagates through transforme...

The finite volume method (FVM) is a kind of numerical analysis method that can take into account topography and apply local subdivision cells as the finite element method (FEM). The adjoint state method (ASM) can easily calculate the gradient vector of the objective function for the inversion. The author developed a program that applied these metho...

Nowadays, a detailed safety policy is applied for dams. These policies cover structural safety, monitoring, inspection, safe operation, and emergency plans. For high-risk dams, all these policy elements need to be included in dam safety programs. Deficiencies in embankment dams, which suffer the most damage, can be detected by visual inspection and...

Transonic buffet flow is a classical complex and unstable flow that has a negative effect on aircraft fly safety. Therefore, it is crucial to study the unsteady characteristics of buffet flow. The numerical analysis method is very useful in achieving the aforementioned goal. In this paper, focused on the typical supercritical airfoil OAT15A in fixe...

A dual-phase lattice structure composed of mixed units with hard and soft phase characteristics is proposed in this work. The proposed lattice structure has high specific energy absorption and high compressive strength. The load response and energy absorption characteristics under bending loads were studied through three-point bending tests and num...

Based on production practice, it is known that the mixing scraper is an important mechanical part that the planetary mixer directly contacts with the concrete. Its structural shape will directly affect the mixing effect of the mixer, and the inclination angle of the mixing scraper is one of the most important factors affecting the mixing efficiency...

In the world of contemporary automotive engineering, Formula Student Cars are one of the most fashionable vehicles. Scientists from all over the world admire this marvel's immense development. This paper looks into the aerodynamic down and drag force’s impact on a Formula 1 student car's front wing while speeding. For the investigation, we removed...

The rapid development of urbanization necessitates effective analytical methods to address its complexities. Peri-urbanization, the expansion of settlement boundaries and urban spread, is a critical aspect of this phenomenon. This study introduces a quantitative method to analyze peri-urbanization, providing a peri-urban index (PUI) for medium-size...

In recent years, ultra-large-scale offshore wind turbines have attracted widespread attention. However, accurately evaluating the motion responses of offshore wind turbines under extreme conditions, especially for semisubmersible floating off-shore wind turbines, is often challenging. In order to assess the operational behavior of wind turbines und...

A variable section seal ring is a special type of sealing element that features a regularly changing sealing boundary. This paper proposes a numerical analysis method for calculating the elastohydrodynamic lubrication performance of the sealing surface of a variable section seal, considering factors such as the surface morphology of the seal lip, t...

In this study, two Severe Plastic Deformation (SPD) methods, which significantly improve the mechanical properties of materials by causing significant improvements in the microstructure of materials, are comparatively analyzed. The study compares the most well-known and commonly used Equal Channel Angular Pressing (ECAP) and Multi-Directional Forgi...

This contribution focuses on understanding the bedding effect of coal rocks under the Brazilian splitting test. First, multiple Brazilian splitting tests were performed on coal rocks with various bedding angles to systematically investigate the influence of stratification. Subsequently, numerical models with stratified structures were constructed,...

Chaotic systems with hidden attractors are important research hotspots in nonlinear science. In recent years, continuous chaotic systems with special equilibrium points have been widely studied, especially continuous chaotic systems without equilibrium points. A four-dimensional chaotic system devoid of equilibrium point is proposed by using a comp...

Featured Application This article focuses on the design and construction of bentonite slurry trenches. Performing three-dimensional numerical analyses in the manner presented in the paper is relatively straightforward from a numerical standpoint and can be effectively utilised both in the preliminary design stages and for optimising the slurry tren...

Nitrogen oxides (NOx), classified as an indirect greenhouse gas (GHG), are increasing in demand for reduction as emission regulations are expanded not only in internal combustion engines but also throughout the industry. Nitrogen atoms are dissociated at relatively low temperature and can be easily converted to NOx by radicals and intermediates, so...

Tropical storms present a significant risk to the safety of high-speed trains due to the extreme wind and rainfall they bring. This study employs Eulerian multiphase and Shear-Stress Transport k-ω turbulence models for three-dimensional numerical simulations, focusing on wind–rain interactions involving tunnels, embankments, and trains. The reliabi...

Deployable thin-film structure is an ideal requirement for space structures used for deep space exploration. One of the obstacles encountered by this structure is the problem of film surface accuracy caused by in-orbit temperature changes and plastic creases created by folding storage. This paper investigates how temperature and crease affect the w...

The stability performance of the buoy is an important parameter that should be taken into account when designing marine buoys. This paper introduces a theoretical and numerical analysis method to examine the stability of marine buoys, including analysis of the initial stability and large inclination stability by calculating the natural period, meta...

Given the influence of air intake from inclined shafts in existing tunnel ventilation systems on train comfort and aerodynamic safety, a numerical analysis method is used to study the comfort and aerodynamic safety of operating trains under three conditions—inclined shaft closed and inclined shaft open without and with air intake—and to explore the...

This paper presents research on raising the efficiency and pressure of centrifugal fans at different speed ranges. This problem is related to the incompatibility of the fan characteristics with the speed conditions of the impeller and flow conditions of the installation when the centrifugal fans are operated, which decreases efficiency and raises e...

In a Government Agency, office stationery supplies are an absolute necessity. The provision of adequate office stationery will facilitate performance. This study aims to predict the demand for office stationery using Monte Carlo Simulation. Monte Carlo is a numerical analysis method that uses random number samples. The data used in this study are p...

The bentonite slurry trenches are becoming increasingly popular in the excavation process of trenches, especially for diaphragm wall construction. The problem that needs to be addressed is the stability of bentonite slurry trenches. This paper presents a stability analysis of trenches with temporary support of bentonite slurry, with unit weights ra...

Heatmaps have been instrumental in helping understand deep network decisions, and are a common approach for Explainable AI (XAI). While significant progress has been made in enhancing the informativeness and accessibility of heatmaps, heatmap analysis is typically very subjective and limited to domain experts. As such, developing automatic, scalabl...

Crystal plasticity models are promising numerical analysis methods for predicting and evaluating material forming processes. In crystal plasticity analyses, the dislocation density model, often based on the Bailey-Hirsch equation, is employed to represent the work hardening behavior of metallic materials. The dislocation strengthening coefficient i...