Article
Mathematics, Applied
Pradip Roul, V. M. K. Prasad Goura
Summary: In this study, a high-order numerical scheme based on B-spline functions is developed for solving a class of nonlinear derivative dependent singular boundary value problems. The method is established through matrix approach and demonstrated to be accurate and robust through consideration of four nonlinear examples. It is more accurate and computationally efficient compared to other numerical schemes using the same B-spline functions.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Applied
Emre Kirli, Dursun Irk, Melis Zorsahin Gorgulu
Summary: In this study, the Galerkin finite element method with cubic B-spline function is used to obtain the numerical solution of the linear telegraph equation. A fourth order one-step method is employed to discretize the telegraph equation in time, which improves the efficiency and accuracy of the method. Three examples demonstrate the higher accuracy of the proposed method.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2023)
Article
Engineering, Multidisciplinary
J. Haydel Collins, Alexei Lozinski, Guglielmo Scovazzi
Summary: We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM) inspired by the asymmetric version of the Nitsche method. We prove its stability and convergence for arbitrary order finite element interpolation spaces and test its performance with numerical experiments. Moreover, we demonstrate that the SBM is exactly consistent, contrary to previous belief.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Ming Li
Summary: A new algebraic prolongation operator is developed for the standard V-cycle multigrid method to accelerate the process based on a coarsening strategy of adjacency matrix. An efficient algebraic multigrid (EAMG) method is proposed for solving large-scale linear systems arising from finite element discretization of second-order elliptic boundary value problems. Numerical experiments on polygonal domains demonstrate that the EAMG computation is more efficient than the standard method.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Divay Garg, Kamana Porwal
Summary: The main aim of this article is to analyze the application of the mixed finite element method for the second order Dirichlet boundary control problem. Both a priori and a posteriori error analysis are conducted using the energy space based approach. Optimal order estimates for the a priori errors in the energy norm and L2-norm are obtained with the aid of auxiliary problems. The reliability and efficiency of the proposed a posteriori error estimator are discussed using the Helmholtz decomposition. Numerical experiments are carried out to validate the theoretical findings.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Engineering, Multidisciplinary
Micha s Guminiak, Marcin Kaminski
Summary: The study focuses on the application of B-spline approximations in the Least Squares Method for recovering the structural response of linear elastic systems. By replacing polynomial bases with second or third order B-spline functions, expected values and standard deviations of structural responses can be obtained analytically without the need for statistical or expansion methods. The numerical illustrations provided in the paper include fundamental eigenfrequencies of elastic plates subjected to various boundary conditions.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Jiaqi Xu, Hengshan Hu, Qing Huo Liu, Bo Han
Summary: In this study, a new high-order PML formulation is developed for the 3D SETD method to solve the second-order elastic wave equations. By introducing recursive auxiliary differential equations, the evaluation of convolution for the high-order stretching functions is avoided. An equivalent concept of PML is adopted to absorb waves and preserve the original form of wave equations in the physical domain. The high-order PML demonstrates better absorption performance than the first-order PML in numerical experiments, particularly for grazing incidence waves and surface waves in a large-scale domain.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Multidisciplinary Sciences
Busyra Latif, Md Yushalify Misro, Samsul Ariffin Abdul Karim, Ishak Hashim
Summary: This study presents a new symmetric cubic B-spline method (NCBM) for solving linear systems of second-order boundary value problems (BVPs) numerically. The method approximates the second-order derivatives using new approximations and takes advantage of the flexibility and high order precision of B-spline functions. The proposed method is validated by testing it on three linear systems of ordinary differential equations.
Article
Engineering, Multidisciplinary
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
Summary: The Shifted Boundary Method is an approximate domain method that efficiently handles partial differential equation problems with complex geometries. This method shifts the location of boundary conditions to a surrogate boundary and adjusts the boundary condition values to reduce consistency error. The high-order version of the method maintains optimal accuracy regardless of the piecewise linear surrogate boundary, bypassing the issue of meshing complex geometries.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Marine
Yixin Qian, Bin Teng
Summary: This paper proposes a coupling method that combines the scaled boundary finite element method (SBFEM) and the finite element method (FEM) to overcome singularities at the boundaries and corners. By integrating SBFEM and FEM, second derivatives on the body surface can be evaluated, and the singular boundary conditions at the corners are automatically satisfied. The method is demonstrated through solving the second-order radiation problem of a rectangular box and provides accurate and efficient direct pressure integrations for second-order wave forces.
Article
Engineering, Multidisciplinary
Chong-Jun Li, Yan-Mei Jia, Ying Zhang, Juan Chen
Summary: This paper presents two algorithms for implementing scaled boundary finite elements based on quadrilateral spline elements, achieving high-order completeness with fewer nodes.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Ocean
Shivakumar B. Patil, D. Karmakar
Summary: This study investigates the interaction between gravity waves and submerged breakwaters of different structural configurations using small-amplitude wave theory. A numerical model is developed to analyze the hydrodynamic scattering coefficient for various physical parameters, and the efficiency of submerged tandem breakwaters in wave transformation is found to be superior to other shapes of permeable breakwaters. The comparative analysis performed in this study will be beneficial for the effective design of breakwaters near harbor regions.
APPLIED OCEAN RESEARCH
(2021)
Article
Computer Science, Interdisciplinary Applications
Azhar Iqbal, Nur Nadiah Abd Hamid, Ahmad Izani Md. Ismail, Muhammad Abbas
Summary: This article describes the Galerkin method based on quintic B-spline functions for numerically solving the second order coupled nonlinear Schrodinger equations. Finite difference and Crank-Nicolson schemes were utilized for discretization, comparing numerical results for accuracy and capability assessment. The study shows that using higher order B-spline functions leads to accurate and reliable results.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mathematics, Applied
Azhar Iqbal, Muhammad Abbas, Tayyaba Akram, Abdullah M. Alsharif, Ajmal Ali
Summary: This article presents an efficient numerical approach using Galerkin and quartic B-spline functions to solve a one-dimensional second-order nonlinear evolution equation. The obtained results demonstrate the effectiveness and accuracy of the proposed method through comparisons with published papers.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
Biao Liu, Qiao Wang, Wei Zhou, Xiaolin Chang
Summary: This paper aims to solve thermo-elastic problems with gravity load using the line integration boundary element method (LIBEM) and non-uniform rational B-spline (NURBS) to address issues such as boundary discretization and model refinement errors, ensuring the accuracy of boundary conditions.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Civil
Edward Ransley, Shiqiang Yan, Scott Brown, Martyn Hann, David Graham, Christian Windt, Pal Schmitt, Josh Davidson, John Ringwood, Pierre-Henri Musiedlak, Jinghua Wang, Junxian Wang, Qingwei Ma, Zhihua Xie, Ningbo Zhang, Xing Zheng, Giuseppe Giorgi, Hao Chen, Zaibin Lin, Ling Qian, Zhihua Ma, Wei Bai, Qiang Chen, Jun Zang, Haoyu Ding, Lin Cheng, Jinhai Zheng, Hanbin Gu, Xiwu Gong, Zhenghao Liu, Yuan Zhuang, Decheng Wan, Harry Bingham, Deborah Greaves
INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING
(2020)
Article
Engineering, Civil
Hao Chen, Zaibin Lin, Ling Qian, Zhihua Ma, Wei Bai
INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING
(2020)
Article
Mechanics
Sheng-Chao Jiang, Wei Bai
Article
Engineering, Marine
Mingwei Yan, Xin Ma, Wei Bai, Zaibin Lin, Yibin Li
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2020)
Article
Engineering, Ocean
Zaibin Lin, Ling Qian, Wei Bai, Zhihua Ma, Hao Chen, Jian-Guo Zhou, Hanbin Gu
Summary: A new Fully Nonlinear Potential Flow (FNPF) numerical model has been developed for simulating nonlinear water wave problems. The model discretizes the flow field using Finite Volume Method (FVM) and defines boundary conditions in a semi-Eulerian-Lagrangian form. Through various test cases, the model has shown satisfactory accuracy and robustness in simulating wave generation and absorption, wave shoaling, and wave-cylinder interaction.
APPLIED OCEAN RESEARCH
(2021)
Article
Engineering, Ocean
Peiwen Cong, Bin Teng, Wei Bai, Dezhi Ning, Yingyi Liu
Summary: This study investigates a new combined concept of utilizing offshore renewable energy resources by integrating an oscillating water column (OWC) device with an offshore wind turbine. Numerical analysis based on two different approaches shows that significant energy extraction efficiency can be achieved when remarkable fluid motion is induced within each sub-chamber.
APPLIED OCEAN RESEARCH
(2021)
Article
Engineering, Civil
V Sriram, Shagun Agarwal, Shiqiang Yan, Zhihua Xie, Shaswat Saincher, Torsten Schlurmann, Qingwei Ma, Thorsten Stoesser, Yuan Zhuang, Bo Han, Weiwen Zhao, Xiaotong Yang, Z. Li, Decheng Wan, Yi Zhang, Bin Teng, Dezhi Ning, Ningbo Zhang, Xing Zheng, Guochun Xu, Jiaye Gong, Yunbo Li, Kangping Liao, Wenyan Duan, Ronggui Hann, Windiman Asnim, Zana Sulaiman, Zhongbing Zhou, Jianmin Qin, Yucheng Li, Zhiwei Song, Xiaofan Lou, Lin Lu, Changfu Yuan, Yuxiang Ma, Congfang Ai, Guohai Dong, Hanbing Sun, Qiang Wang, Zhi-Tao Zhai, Yan-Lin Shao, Zaibin Lin, Ling Qian, Wei Bai, Zhihua Ma, Pablo Higuera, Eugeny Buldakov, Dimitris Stagonas, Santiago Martelo Lopez, Aristos Christou, Pengzhi Lin, Yanyan Li, Jinshu Lu, Sa Young Hong, Yoon-Jin Ha, Kyong-Hwan Kim, Seok-Kyu Cho, Dong-Min Park, Wojciech Laskowski, Claes Eskilsson, Mario Ricchiuto, Allan P. Engsig-Karup, Lin Cheng, Jinhai Zheng, Hanbin Gu, Guangnian Li
Summary: This paper presents a comparative study on the interaction between focused waves and a fixed cylinder, using 20 numerical solvers developed by various universities. The qualitative and quantitative comparisons based on wave probe and pressure probe time histories and spectral components show differences among different solvers. The relative error analysis indicates variations in performance among the solvers, providing insights for industrial applications.
INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING
(2021)
Article
Engineering, Civil
Zaibin Lin, Ling Qian, Wei Bai, Zhihua Ma
Summary: This paper investigates the interaction between nonlinear waves and cylindrical foundations using two different solvers based on different theories, comparing numerical results and experimental measurements to demonstrate their accuracy, efficiency, and applicability in specific flow problems.
INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING
(2021)
Article
Engineering, Marine
Peiwen Cong, Bin Teng, Wei Bai
Summary: A numerical model was developed to simulate wave diffraction caused by an arbitrarily shaped structure in the presence of bi-directional incident waves, revealing that the presence of a vertical wall can significantly disturb the wave diffraction process from the cylinder, leading to greatly amplified second-order wave elevation within the region between the wall and cylinder.
Article
Engineering, Marine
Kai Wang, Xin Ma, Wei Bai, Zaibin Lin, Yibin Li
Summary: This paper introduces a dynamic overset mesh based two-dimensional Numerical Wave Tank (NWT) model for studying water entry of a wedge into water waves during offshore lowering. The NWT model integrates an incompressible multiphase flow solver and a wave generation library in OpenFOAM. The numerical simulations validate the model and analyze the influence of wave amplitude, water entry velocity, and entry location on the water entry process.
Article
Engineering, Marine
Bin Yan, Wei Bai, Sheng-Chao Jiang, Peiwen Cong, Dezhi Ning, Ling Qian
Summary: A new three-dimensional immersed boundary method combined with the level set method is developed for simulating the interaction between fixed/moving structures and two-phase fluid flow. An algebraic algorithm is used to determine forcing points in the three-dimensional immersed boundary method, which is robust for any body geometry and easy for implementation. Extensive comparisons with experimental data and other immersed boundary methods show that the developed method is accurate and effective for both fixed and moving bodies with complex geometries.
Article
Mechanics
Sheng-Chao Jiang, Wei Bai, Bin Yan
Summary: This study investigates wave resonance in a narrow gap between two boxes using a numerical wave flume, finding nonlinear resonant behavior occurring around half and one third of the resonant frequencies. The research shows that higher-order harmonic induced wave resonances mainly affect wave properties inside the narrow gap.
Article
Engineering, Civil
Anatoliy Khait, Zhihua Ma, Ling Qian, Wei Bai, Zaibin Lin
Summary: This paper presents a numerical study of the energy dissipation process in the breaking of focused waves using potential and potential/viscous flow models. The results show that wave energy loss is closely related to wave steepness, and nonbreaking waves produce mild localized rotational motion while breaking waves trigger strong nonpotential motion persisting over many wave periods.
INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING
(2022)
Article
Engineering, Civil
Zaibin Lin, Ling Qian, Wei Bai
Summary: The study successfully simulated the fully nonlinear liquid sloshing process in the noninertial coordinate system using a 3-D finite volume method-based fully nonlinear potential flow model, and validated its effectiveness and applicability.
INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING
(2022)
Article
Mechanics
Sheng-chao Jiang, Wei Bai, Guoqiang Tang
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.