Article
Mathematics, Interdisciplinary Applications
Samaneh Soradi-Zeid, Mehdi Mesrizadeh, Carlo Cattani
Summary: This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations using a combination of Laplace transform and trapezoidal rule methods. The scheme, based on numerical inversion and equal-width trapezoidal rule, is robust and efficient. Numerical experiments are conducted to evaluate the performance and effectiveness of the suggested framework.
FRACTAL AND FRACTIONAL
(2021)
Article
Mechanics
Hong Tang, Hong-Liang Dai, Yang Yang
Summary: A dynamic model of composite slender column subject to axial impact load in hygrothermal effect was established in this paper, with analytical solutions for axial displacement and critical dynamic buckling time derived. The influence of impactor and slender column properties on dynamic buckling in different hygrothermal effects was discussed, and fragment lengths of brittle material were predicted based on buckling mode wavelengths.
COMPOSITE STRUCTURES
(2021)
Article
Chemistry, Multidisciplinary
Zhipeng Wang, Zhengfu Ning, Wenting Guo
Summary: Water injection can create induced fractures, which can lead to water breakthrough and the abandonment of production wells. In this study, a waterflooding-induced dynamic fracture (WIDF) model was developed to describe the dynamic behavior of induced fractures. Field cases demonstrated the effectiveness of the WIDF model in improving parameter interpretation and guiding injection schemes.
Article
Chemistry, Multidisciplinary
Zhipeng Wang, Zhengfu Ning, Wenting Guo
Summary: Water injection can lead to the creation of induced fractures, resulting in the interconnection of injection and production wells and water breakthrough. The development of a waterflooding-induced dynamic fracture model helps describe the dynamic behavior of induced fractures and is important for preventing water breakthroughs.
Article
Mathematics, Applied
Stefano Giani, Christian Engstroem, Luka Grubisic
Summary: In this paper, we propose an adaptive spectral projection based finite element method to approximate the solution of the wave equation with memory. The adaptivity is not only applied to the mesh, but also to the size of the computed spectrum. The approach has been shown to be efficient and accurate.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Multidisciplinary Sciences
Kamran, Sharif Ullah Khan, Salma Haque, Nabil Mlaiki
Summary: In this article, a numerical method based on Laplace transform and numerical inverse Laplace transform for the numerical modeling of differential equations of fractional order is developed. The Weeks method is utilized for the inversion of the Laplace transform, which has been confirmed to be reliable and effective for fractional-order differential equations through validation problems.
Article
Thermodynamics
Chenjun Liu, Wei Cao, Xuding Song, Yipin Wan
Summary: With the development of picosecond laser technology, this paper establishes a three-dimensional dual-phase-lagging heat transfer model and provides a new approach to solve the problem of three-dimensional dual-phase-lagging heat transfer. This semianalytical method shows high accuracy and significant impact of phase lag constants on the temperature field, which can be explained by using the two-step heat transfer theory.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Mathematics, Applied
Roberto Garrappa, Andrea Giusti
Summary: We investigate the properties of variable-order differential operators with order transition functions of exponential type. Accurate numerical methods are necessary to derive the corresponding behaviors in the time domain. We develop a computational procedure to solve these novel variable-order fractional differential equations, and provide numerical experiments to demonstrate the effectiveness of the proposed technique.
JOURNAL OF SCIENTIFIC COMPUTING
(2023)
Article
Mathematics, Applied
Xiaolin Li, Shuling Li
Summary: This paper investigates the effect of reproducing kernel gradient smoothing integration (RKGSI) on the element-free Galerkin (EFG) method for elliptic boundary value problems with mixed boundary conditions. Theoretical results of smoothed gradients in the RKGSI are provided, and fundamental criteria for determining integration points and weights of quadrature rules are established. The existence, uniqueness, and error estimations of the solution of the EFG method with numerical integration are analyzed using Nitsche's technique to impose Dirichlet boundary condition. Numerical results validate the theoretical analysis and demonstrate the optimal convergence of the method.
APPLIED NUMERICAL MATHEMATICS
(2023)
Article
Mathematics, Applied
Aneela Sabir, Mujeeb Ur Rehman
Summary: This paper presents a numerical method for solving a class of *-fractional differential equations involving Caputo derivative with respect to a function. The method converts the initial value problem into an equivalent second kind of Volterra integral equation and utilizes a combination of Simpson's and Trapezoidal rule to transform it into a system of algebraic equations. The original problem's numerical solutions are recovered from a solution of the algebraic system. Error estimates for function approximation and fractional integral approximation are provided, along with an error bound for the numerical approximation of solutions. The method is tested for various specific problems.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Mathematics
Muhammad Nadeem, Mouad M. H. Ali
Summary: This paper presents a numerical scheme for solving the nonlinear gas dynamic equation. The authors combine the Laplace-Carson transform with the homotopy perturbation method (HPM) to obtain a series solution of the equation. The results show that this hybrid approach is highly accurate and converges smoothly to the exact solution. Additionally, the authors utilize HPM with He's polynomial to minimize numerical simulations in nonlinear conditions, making the implementation of Laplace-Carson transform easier. They also provide graphical solutions to demonstrate the reliability and convenience of this approach for linear and nonlinear challenges.
JOURNAL OF MATHEMATICS
(2023)
Article
Materials Science, Multidisciplinary
Muhammad Sadiq Hashmi, Misbah Wajiha, Shao-Wen Yao, Abdul Ghaffar, Mustafa Inc
Summary: This research presents a direct numerical approach for solving time-fractional Burger's equation using a modified hybrid B-spline basis function. The method employs the Differential Quadrature Method (DQM) with B-Spline for space derivative and is based on a matrix approach. The results show good stability and effectiveness in solving non-linear time-fractional Burger's equation through the proposed technique.
RESULTS IN PHYSICS
(2021)
Article
Engineering, Civil
Chen Wang, Rongqiang Liu, Jiangping Huang
Summary: This study presents a modified differential quadrature (MDQ) method to investigate the dynamic response of perforated plates under uniaxial impact compressive load. By introducing the penalty function method, the continuity of the plate elements is ensured along the shared edges to consider the effect of elastically restrained edges. Through verification analysis and investigation of various factors, it is found that the dynamic buckling load of perforated plates is mainly influenced by rotational restraint stiffness, hole size, and shear load.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2021)
Article
Engineering, Multidisciplinary
Shams A. Ahmed, Tarig M. Elzaki, Mohamed Elbadri, Mohamed Z. Mohamed
Summary: The primary purpose of this research is to demonstrate the efficiency of a new double transform method, the double Laplace - Sumudu transform (DLST), in solving partial differential equations. The theorems handling fashionable properties of the DLST are proved, along with mentioning the convolution theorem, and using these results to solve partial differential equations efficiently.
AIN SHAMS ENGINEERING JOURNAL
(2021)
Article
Mathematics, Applied
Muhammad Imran Liaqat, Adnan Khan, Ali Akgul, Md. Shajib Ali
Summary: The researchers have developed a new method for solving fractional-order differential equations by combining the Elzaki residual power series method with the Caputo logic's fractional-order derivative operator. This method is fast, accurate, and easy to implement, and it has an advantage in solving nonlinear problems.
JOURNAL OF FUNCTION SPACES
(2022)
Article
Engineering, Mechanical
Xu Liang, Zeng Cao, Hongyue Sun, Xing Zha, Jianxing Leng
JOURNAL OF PRESSURE VESSEL TECHNOLOGY-TRANSACTIONS OF THE ASME
(2019)
Article
Engineering, Marine
Xue Jiang, Sandy Day, David Clelland, Xu Liang
Article
Engineering, Marine
Xu Liang, Xing Zha, Xue Jiang, Zeng Cao, Yuhong Wang, Jianxing Leng
Article
Mechanics
Xu Liang, Xing Zha, Yang Yu, Zeng Cao, Xue Jiang, Jianxing Leng
COMPOSITE STRUCTURES
(2019)
Article
Mechanics
Xu Liang, Yu Deng, Zeng Cao, Xue Jiang, Titao Wang, Yongdu Ruan, Xing Zha
COMPOSITE STRUCTURES
(2019)
Article
Chemistry, Physical
Zeng Cao, Xu Liang, Yu Deng, Xing Zha, Ronghua Zhu, Jianxing Leng
Article
Engineering, Geological
Shengjie Rui, Zhen Guo, Tongling Si, Wenjie Zhou, Xing Zha
Summary: This study investigates the influence of particle shape on deformation resistance of carbonate sand. It was found that irregular particles exhibit stronger shear resistance under dynamic loads and affect the degree of particle breakage.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2021)
Article
Engineering, Marine
Shengjie Rui, Zhen Guo, Lizhong Wang, Yuzhe Dou, Wenjie Zhou, Xing Zha
Summary: This paper conducts a large deformation simulation to study the axial interaction mechanism between mooring chain and sand. A calculation method for chain axial resistance is proposed based on this mechanism. The method is validated and shows good accuracy in predicting chain behavior.
Article
Engineering, Ocean
Xing Zha, Zhen Guo, Lizhong Wang, Shengjie Rui
Summary: A simplified model with two cyclic loading factors is proposed in this paper to predict the accumulated displacement of monopile in soft clay. The model is validated and found to have high accuracy through comparison with experimental data. In addition, the paper also investigates the accumulated displacement of monopile under different loading histories.
APPLIED OCEAN RESEARCH
(2022)
Article
Engineering, Ocean
Xing Zha, Yongqing Lai, Shengjie Rui, Zhen Guo
Summary: This paper incorporates the hyperplastic ratcheting model into FAST v7 to accurately predict the fatigue damage of monopile-supported offshore wind turbines (OWTs) subjected to cyclic loadings. The limitations of the current rigid foundation model are addressed, and the effect of pile-soil interaction on the fatigue life of monopile is quantified. Extensive simulations and analyses are performed to provide an accurate model for estimating the fatigue life of monopile-supported OWTs.
APPLIED OCEAN RESEARCH
(2023)
Article
Acoustics
Xu Liang, Zeng Cao, Yu Deng, Xue Jiang, Xing Zha, Jianxing Leng
Summary: This study investigates the transient behaviors of a thin rectangular plate under different conditions and environments using a novel semi-analytical methodology. The results show that geometry and temperature variation are significant factors affecting the dynamic response of the plate.
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
(2021)
Article
Acoustics
Xu Liang, Yu Deng, Xue Jiang, Zeng Cao, Yongdu Ruan, Jianxing Leng, Titao Wang, Xing Zha
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
(2020)
Article
Engineering, Marine
Alba Ricondo, Laura Cagigal, Beatriz Perez-Diaz, Fernando J. Mendez
Summary: This research presents a site-specific metamodel based on the SWASH numerical model simulations, which can predict coastal hydrodynamic variables in a fast and efficient manner. The metamodel uses downscaled and dimensionality reduced synthetic database to accurately reproduce wave setup, wave heights associated with different frequency bands, and wave runup. This method has great potential in coastal risk assessments, early warning systems, and climate change projections.
Article
Engineering, Marine
Xiao Yu, Wangjun Ren, Bukui Zhou, Li Chen, Xiangyun Xu, Genmao Ren
Summary: This study investigated and compared the compression responses and energy absorption capacities of coral sand and silica sand at a strain rate of approximately 1000 s-1. The results showed that coral sand had significantly higher energy absorption capacity than silica sand due to its higher compressibility. The study findings suggest that using poorly graded coral sand can improve its energy absorption capacity.
Article
Engineering, Marine
Jingxi Zhang, Junmin Mou, Linying Chen, Pengfei Chen, Mengxia Li
Summary: This paper proposes a cooperative control scheme for ship formation tracking based on Model Predictive Control. A predictive observer is designed to estimate the current motion states of the leader ship using delayed motion information. Comparative simulations demonstrate the effectiveness and robustness of the proposed controller.
Article
Engineering, Marine
Yu Yao, Danni Zhong, Qijia Shi, Ji Wu, Jiangxia Li
Summary: This study proposes a 2DH numerical model based on Boussinesq equations to investigate the impact of dredging reef-flat sand on wave characteristics and wave-driven current. The model is verified through wave flume experiments and wave basin experiments, and the influences of incident wave conditions and pit morphological features on wave characteristics are examined.
Article
Engineering, Marine
Jayanta Shounda, Krishnendu Barman, Koustuv Debnath
Summary: This study investigates the double-average turbulence characteristics of combined wave-current flow over a rough bed with different spacing arrangements. The results show that a spacing ratio of p/r=4 offers the highest resistance to the flow, and the double-average Reynolds stress decreases throughout the flow depth. The advection of momentum-flux of normal stress shows an increase at the outer layer and a decrease near the bed region after wave imposition. Maximum turbulence kinetic energy production and diffusion occur at different layers. The turbulence structure is strongly anisotropic at the bottom region and near the outer layer, with a decrease in anisotropy observed with an increase in roughness spacing.
Article
Engineering, Marine
Meng Zhang, Lianghui Sun, Yaoguo Xie
Summary: The research proposes a method for online identification of wave bending and torsional moment in hull structures. For structures without large openings, the method optimizes sensor positions and establishes a mathematical model to improve accuracy. For structures with large openings, a joint dual-section monitoring method is proposed to simultaneously identify bending and torsional moments in multiple key cross sections.
Article
Engineering, Marine
Longming Chen, Shutao Li, Yeqing Chen, Dong Guo, Wanli Wei, Qiushi Yan
Summary: This study investigated the dynamic response characteristics and damage modes of pile wharves subjected to underwater explosions. The results showed that the main damaged components of the pile wharf were the piles, and inclined piles had a higher probability of moderate or more significant damage compared to vertical piles. The study also suggested that replacing inclined piles with alternative optimized structures benefits the blast resistance of pile wharves.
Article
Engineering, Marine
I. -C Kim, G. Ducrozet, V. Leroy, F. Bonnefoy, Y. Perignon, S. Bourguignon
Summary: Previous research focused on the accuracy and efficiency of short-term wave fields in specific prediction zones, while we developed algorithms for continuous wave prediction based on the practical prediction zone and discussed important time factors and strategies to reduce computational costs.
Article
Engineering, Marine
Hang Xie, Xianglin Dai, Fang Liu, Xinyu Liu
Summary: This study investigates the load characteristics of a three-dimensional stern model with pitch angle through a drop test, and reveals complex characteristics of pressure distribution near the stern shaft. The study also shows that the vibration characteristics of the load are influenced by the drop height and pitch angle, with the drop height having a greater effect on the high-frequency components.
Article
Engineering, Marine
Hangyuan Zhang, Wanli Yang, Dewen Liu, Xiaokun Geng, Wangyu Dai, Yuzhi Zhang
Summary: The deep-water bridge is more vulnerable to earthquake damage than the bridge standing in air. The larger blocking ratio has a significant impact on the added mass coefficient, which requires further comprehensive study. The generation mechanism of block effect is analyzed using numerical simulation software ANSYS Fluent. The results show that the recirculation zone with focus reduces the pressure on the back surface of the cylinder, resulting in the peak value of in-line force not occurring synchronously with the peak value of acceleration. The change in position and intensity of the recirculation zone with focus, as well as the change in water flow around the cylinder surface, are identified as the generation mechanism of the block effect, which has a 10% influence on the hydrodynamic force. The changing rule of the added mass coefficient with blocking ratio is discussed in detail, and a modification approach to the current added mass coefficient calculation method is suggested. Physical experiments are conducted to validate the modification approach, and the results show that it is accurate and can be used in further study and real practice.
Article
Engineering, Marine
Golnesa Karimi-Zindashti, Ozgur Kurc
Summary: This study examines the performance of an in-house code utilizing a deterministic vortex method on the rotation of circular and square cylinders. The results show that rotational motion reduces drag forces, suppresses fluctuating forces, and increases lift forces. The code accurately predicts vortex shedding suppression and identifies the emergence of near-field wakes in the flow over rotating square cylinders.
Article
Engineering, Marine
George Dafermos, George Zaraphonitis
Summary: The survivability of damaged ships is of great importance and the regulatory framework is constantly updated. The introduction of the probabilistic damage stability framework has rationalized the assessment procedure. Flooding simulation tools can be used to investigate the dynamic response of damaged ships.
Article
Engineering, Marine
Xuyue Chen, Xu Du, Chengkai Weng, Jin Yang, Deli Gao, Dongyu Su, Gan Wang
Summary: This paper proposes a real-time drilling parameters optimization method for offshore large-scale cluster extended reach drilling based on intelligent optimization algorithm and machine learning. By establishing a ROP model with long short-term memory neurons, and combining genetic algorithm, differential evolution algorithm, and particle swarm algorithm, the method achieves real-time optimization of drilling parameters and significantly improves the ROP.
Article
Engineering, Marine
Sung-Jae Kim, Chungkuk Jin, MooHyun Kim
Summary: This study investigates the dynamic behavior of a moored submerged floating tunnel (SFT) under tsunami-like waves through numerical simulations and sensitivity tests. The results show that design parameters significantly affect the dynamics of the SFT system and mooring tensions, with shorter-duration and higher-elevation tsunamis having a greater impact.
Article
Engineering, Marine
G. Clarindo, C. Guedes Soares
Summary: Environmental contours are constructed using the Inverse-First Order Reliability Method based on return periods. The paper proposes the use of the Burr distribution to model the marginal distribution of long-term significant wave heights. The newly implemented scheme results in different environmental contours compared to the reference approach.
