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38 articles for “finite difference method”
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Multi-phase Flow Simulation Using Computational Fluid Dynamics
Abstract: Computational fluid dynamics (CFD)-based multi-phase flow simulation is a fast developing topic with broad applications in many scientific fields and industry. An extensive account of current developments, difficulties, and uses in multi-phase flow simulations is given in this review paper. Important modeling strategies, numerical methods, validation procedures, and new developments in CFD-based multi-phase flow analysis are covered. This paper is to contribute to the ongoing development and use of CFD …
Published in International Journal of Machine Systems and Manufacturing Technology · Vol. 1, Issue 2, 2023 · pp. 28–34 Read article
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Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
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Effect of Initial Temperature and Diameter of Ethanol Droplet on Evaporation Dynamics in Convective Air Medium
Abstract: Ethanol is a suitable biofuel as it has fewer toxic emissions and higher-octane numbers. For spray combustion applications, the gas phase motion must be considered while numerically investigating the fundamental aspects of droplet evaporation and combustion processes. Hence, we have numerically simulated the evaporation dynamics of an isolated spherically shaped ethanol droplet under a forced convective air environment in the absence of gravity. The momentum transfer between two phases is …
Published in Journal of Polymer & Composites Read article
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Asymmetrical Light Propagation in 2D Photonic Crystal Structure
Abstract: In this work, using Plane Wave Expansion (PWE) and two-dimensional Finite Difference Time Domain (2D-FDTD) methods, we design a structure that shows the high asymmetry in propagation of light. Structure is based on two-dimensional Photonic Crystal (2D-PC) consisting of square lattice (39 X 39) of infinitely long circular rods of refractive index 2.9 in the background of refractive index 1. Radius of rods is 0.15a, where a is the lattice …
Published in Journal of Polymer & Composites · Vol. 11, Issue 7, 2023 · pp. 69–74 Read article
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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Effects of Bearing Design Parameter on Working Characteristics of Floating Ring Bearing
Abstract: The working stability of turbochargers supported by floating ring bearings depends on not only the structure of the rotors but also working characteristic of floating ring bearings. These working characteristics are related to working conditions and design parameters of floating ring bearings. The main goal of this research is to investigate the working characteristics of bearings by design parameters of floating ring bearings. In order to study the working characteristics …
Published in Journal of Experimental & Applied Mechanics · Vol. 15, Issue 3, 2024 · pp. 39–52 Read article
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Free Vibration of Curved Sandwich Beams with Laminated Composite Facings Using Finite Element Method
Abstract: The present work is focussed on the free vibration analyses of singly curved sandwich beams using three-dimensional finite element method in ABAQUS software. Three different layers are considered for soft core and stiff face sheets in ABAQUS solid modelling to accurately represent the effects of transverse shear deformation of sandwich structure. To validate the model, obtained natural frequencies from present model are first compared with the results available in the …
Published in Journal of Polymer & Composites · Vol. 13, Issue 3, 2025 · pp. 549–561 Read article
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Analyzing Thermal Expansion in Polymer Composites Through Heat Transfer Simulations
Abstract: Although lightweight and strong, polymer composites require careful handling in environments where temperatures shift. Their usefulness in fields like aviation, vehicle manufacturing, and electronic devices comes from customizable heat behavior alongside favorable mechanical traits. Yet variation in size due to heating or cooling remains a concern hard to dismiss. As conditions change, expansion occurs - sometimes enough to disrupt fit, alignment, or function within complex systems. This response to warmth …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 Read article
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Design and Performance Analysis of Silicon Photonic Waveguides for High-Speed Optical Communication
Abstract: The exponential growth of data traffic in data centers and high-performance computing systems necessitates a paradigm shift from conventional electrical interconnects to high- speed, low-power on-chip optical interconnects. Silicon Photonics (SiP) is the leading platform for this transition due to its compatibility with CMOS manufacturing and the high- index contrast between silicon (Si) and silicon dioxide (SiO 2 ). This paper details the design, simulation, and comprehensive performance analysis of …
Published in International Journal of Optical Innovations & Research · Vol. 3, Issue 2, 2025 · pp. 29–37 Read article
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Analyzing the Sheet Metal Extrusion Process Using Finite Element Analysis
Abstract: A wide range of sheet metal forming techniques has been developed to make it easier to produce intricate 3D objects. However, the knowledge still isn't sufficient. The sheet metal extrusion method was examined in this research as one of the common sheet-bulk metal manufacturing technologies. Consideration of the flow-stress curve's impact across a broad range of plastic strain and ductile damage played a pivotal role in constructing a realistic finite …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 1, Issue 1, 2023 · pp. 13–25 Read article
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CFD Analysis of Six-Flow Microchannel Heat Sink Using the Different Nanofluid
Abstract: In this study, we compare the heat-conveying capabilities of ordinary water with those of cooling fluids such as Ag-Water, TiO2-water, and Al2O3-water nanofluid at a volume percentage of 0.50%, and we also examine the six flow micro-channels of the fin-equipped heat sink. Hardware like microprocessors and integrated circuits are not used in the comparison. To evaluate the effectiveness of different cooling fluids, a number of thermal metrics are used, such …
Published in Journal of Polymer & Composites · Vol. 11, Issue 11, 2023 · pp. 1–11 Read article
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Land surface dynamics: A Multiphysics Approach to Modeling Mass Transport
Abstract: Land surface dynamics are governed by complex interactions among hydrological, atmospheric, and geomorphological processes that collectively drive the transport of mass across terrestrial environments. Traditional modeling approaches often isolate individual mechanisms, limiting their ability to capture the coupled feedbacks that shape landscape evolution. This study presents a multiphysics framework for modeling mass transport on land surfaces, integrating fluid flow, sediment transport, heat exchange, and chemical reactions within a unified computational …
Published in International Journal of Land · Vol. 2, Issue 2, 2025 · pp. 31–36 Read article
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Wave plate; what is the angle of its central curved segment which provides biomechanically optimal stability for femoral shaft fracture?:A 3-D Finite Analysis
Abstract: Even though intramedullary nailing of femoral shaft fracture is the standard surgical treatment as it is in tibial fracture, plate fixation might be a choice when the fracture involves open growth plate, patients are of shorter stature or have narrow canals. In these cases, fixation techniques with plate and screws, for example, percutaneous procedures involving wave plate, are useful thanks to minimal invasion and preservation of biological environment surrounding the …
Published in Research and Reviews : Journal of Surgery · Vol. 13, Issue 1, 2024 · pp. 31–43 Read article
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Review On BIM-Based (Revit+Robot Software) Comparative Wind Load Analysis of High-Rise RCC Buildings in Zone-III, IV and V
Abstract: Wind load is one of the most critical factors influencing the design and serviceability of high-rise reinforced concrete (RCC) buildings. As building height increases, wind-induced effects such as storey drift, lateral displacement, and structural stiffness become dominant design considerations. Numerous studies have been conducted using conventional and advanced techniques such as Finite Element Method (FEM), Computational Fluid Dynamics (CFD), and Building Information Modelling (BIM). However, limited research focuses on comparative …
Published in Journal of Structural Engineering and Management · Vol. 13, Issue 2, 2026 Read article
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Fracture Analysis of Functionally Graded Material (FGM) Plates Using Extended Finite Element Method: A Review.
Abstract: Functionally Graded Materials (FGMs), have drawn a lot of interest in various engineering applications due to their superior mechanical properties and ability to withstand extreme conditions. Fracture analysis in FGMs focuses on understanding how cracks initiate and propagate within these complex materials. The stress distribution becomes irregular due to spatial property variations which produces different crack paths than what occurs in homogeneous materials. The examination of FGM plates under fracture …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 4, Issue 1, 2026 · pp. 9–15 Read article
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Analysis of Field Distribution in Optical Fibre Using FEM Method
Abstract: The application of the linear Finite Element Method (FEM) to the analysis of the field distribution in optical fibres is examined in this work. Characterizing fibre characteristics like mode profiles, propagation constants, and dispersion, all of which are critical for maximizing fibre performance in a variety of applications like sensing and telecommunications, requires an understanding of the distribution of electric and magnetic fields. In order to accurately determine the modal …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 2, 2025 · pp. 31–40 Read article
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Optimized Structural Design and Prototyping Techniques for Polymer-Matrix Composites in Manufacturing
Abstract: Material called polymer-matrix composites (PMCs) have become very important in modern industry because it is strong and light. To get the most out of them, structure construction must be optimized and advanced testing methods must be used. In this brief, the strategies and methods for improving the performance, lowering prices, and speeding up the production process of PMCs through structural design and prototyping are explained. Optimizing structural design starts with …
Published in Journal of Polymer & Composites · Vol. 12, Issue 4, 2024 · pp. 145–161 Read article
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Key Generation Algorithms Using Difference Equations with Multi-Precision Arithmetic: A Review
Abstract: Modern cryptographic systems rely on robust key generation to secure data and communication. This review explores the integration of difference equations and multi-precision arithmetic for cryptographic key generation, addressing limitations in traditional methods like pseudorandom number generators and chaotic systems. Difference equations produce deterministic yet chaotic sequences ideal for cryptography due to their sensitivity to initial conditions and nonlinearity. However, finite precision arithmetic can lead to periodicity and loss of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 23–36 Read article
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Fracture Analysis of FRP Composites under Thermo-Mechanical Loads for Different Geometry Cutouts
Abstract: Fiber-reinforced composites (FRPs) are used extensively in structural and non-structural components of the aerospace and automotive industries. To utilize these materials for structural applications, it is necessary to understand the fracture behavior of the material. In the present investigation of carbon fiber laminates, studies were carried out to understand the fracture toughness characteristics of the carbon fiber laminates with mechanical, thermal, and thermo-mechanical loadings of modes I, II, and III. …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 3, Issue 2, 2025 · pp. 1–10 Read article
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Revolutionizing Optical Fibre Field Distribution with Linear Finite Element Method
Abstract: This study investigates the use of the linear Finite Element Method (FEM) for the analysis of the field distribution in optical fibres. Understanding the distribution of electric and magnetic fields is necessary to characterise fibre properties including mode profiles, propagation constants, and dispersion, all of which are essential for optimising fibre performance in a range of applications like sensing and telecommunications. This study emphasises on applying a linear FEM formulation …
Published in Trends in Opto-electro & Optical Communication · Vol. 15, Issue 3, 2025 · pp. 32–42 Read article