Article
Chemistry, Analytical
Hanfei Mei, Victor Giurgiutiu
Summary: This paper introduces a new technique for extracting high-order wave-damage interaction coefficients through modal decomposition. These coefficients can describe the amplitude and phase of scattered waves as a function of frequency and direction. Case studies were conducted to validate the effectiveness of this technique in different damage scenarios.
Article
Mechanics
Peder A. Tyvand, Jonas Kristiansen Noland
Summary: The study investigates the highest standing surface wave at infinite depth and presents a compact analytical approach to this problem. The single length-scale postulate is compared with two distinct cases, one involving an isolated rogue wave peak at deep water, and the other involving a periodic peaked surface at constant depth. The physical postulate and analytical theory confirm Grant's theory of maximal wave height to wavelength ratio and extend it to moderate spatial quasi-periodicity.
Article
Engineering, Marine
Maciej Paprota
Summary: The study investigates fluid motion under mechanically generated nonlinear standing waves near a rigid vertical wall. By comparing numerical kinematics with periodic predictions, it shows excellent agreement between the results. The research provides a practical engineering solution for more accurately evaluating hydrodynamic loads on coastal and offshore structures.
Article
Engineering, Marine
Wei Hao, Xiaofang Sun, Chenyu Wang, Hangyu Chen, Limin Huang
Summary: This study proposes an EMD-LSTM method combining the advantages of the LSTM model and EMD for accurate wave forecasting. Experimental results show that this method can effectively reduce prediction errors and increase forecast lead time.
Article
Chemistry, Physical
Yuip Gan, Xingbo Fang, Xiaohui Wei
Summary: This paper discusses the generation mechanisms of standing waves on aircraft tires by comparing time-domain model and FEA model. It establishes a detailed finite element model of aircraft tires in ABAQUS and verifies the model through simulation and experimental results. The variation of standing wave wavelength at different speeds and the stress and strain field of the standing wave are analyzed. Furthermore, the effects of tire inflation pressure and vertical load on the occurrence of standing waves are studied.
Article
Engineering, Marine
Xinran Ji, Li Zou, Zhiwen Yang, Daoru Wang, Harry B. Bingham
Summary: In this study, a coupled model is used to investigate the multi-directional wave loads on an offshore wind turbine foundation. The results show that the wave directionality and the relative ratio of foundation diameter and wavelength have significant effects on the wave loads.
Article
Engineering, Marine
Diogo Mendes, Tiago C. A. Oliveira
Summary: This study examines the variability of deep-water spectral wave steepness (s(m)) offshore mainland Portugal in the North Atlantic Ocean based on field measurements recorded between 2009 and 2020 at three different locations. The results show similar s(m) variability at different water depths with values between 0.004 and 0.072, and a decrease in s(m) values during September and October.
Article
Mechanics
Yan Li, Yaokun Zheng, Zhiliang Lin, Thomas A. A. Adcock, Ton S. van den Bremer
Summary: This paper develops a second-order theory for narrow-banded surface gravity wavepackets experiencing a sudden depth transition, revealing the presence of local transient processes near the depth transition region and coexistence of free and bound waves traveling at different speeds, resulting in a local peak.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Kerstin Weinberg, Christian Wieners
Summary: We propose a new numerical approach for wave induced dynamic fracture. The method combines a discontinuous Galerkin approximation of elastic waves and a phase-field approximation of brittle fracture. The algorithm is staggered in time and uses an implicit midpoint rule for wave propagation and an implicit Euler step for phase-field evolution. Examples in two and three dimensions demonstrate the advantages of this approach in computing crack growth and spalling initiated by reflected and superposed waves.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
K. Sakkaravarthi, T. Kanna, R. Babu Mareeswaran
Summary: The objective of this study is to explore the mathematical analysis of higher-order rogue waves in an inhomogeneous multi-mode optical media and manipulate their dynamics. Controllable spatiotemporally localized rogue wave solutions are constructed, and the evolution of first- and second-order vector rogue waves is investigated.
PHYSICA D-NONLINEAR PHENOMENA
(2022)
Article
Engineering, Geological
Changjie Zheng, Tong Luo, Lubao Luan
Summary: This paper presents an analytical study on the lateral kinematic response of offshore pipe piles subjected to vertically propagating S-wave seismic excitation. Both the kinematic interaction of the pipe pile with the soil and seawater are considered. The study investigates the sensitivity of the seismic response of pipe piles to key problem parameters and finds that partially embedded piles are more flexible and the presence of seawater amplifies the seismic responses of offshore pipe piles.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2023)
Article
Acoustics
Yanan Yu, Wei Liu, Wen He
Summary: The investigation focuses on finite amplitude standing waves generated by boundary driving in a stepped acoustic resonator. The study aims to design resonators suitable for specific applications such as microphone calibration systems with higher-pressure levels. A modified resonance condition is proposed and applied to calculate the resonance frequencies in both cylindrical and stepped resonators. The resonant response is calculated numerically using the finite volume method, and the results are verified through experiments.
Article
Engineering, Marine
Fabio Pierella, Ole Lindberg, Henrik Bredmose, Harry B. Bingham, Robert W. Read, Allan P. Engsig-Karup
Summary: Estimation of extreme wave loads is crucial for offshore wind turbine design, with two methods available but limitations in accuracy and computational intensity. Using the DeRisk database allows for quicker estimation of nonlinear wave loads, enhancing design efficiency.
Article
Engineering, Civil
William Mortimer, Ross Calvert, Alessandro Antonini, Deborah Greaves, Alison Raby, Ton S. van den Bremer
Summary: In this study, we experimentally investigate the implications of second-order wave generation theory on dynamic wave force and run-up on a vertical wall in shallow to intermediate water depth. Short-duration experiments using focused wave groups generated according to first- and second-order theory are compared. Linear, sub-, and super-harmonic contributions are isolated using combinations of inverted wave group time series and filtering. Theoretical predictions for narrow-banded second-order wave groups interacting with a vertical wall are derived and used to calculate depth-integrated force and run-up on the wall, showing close agreement with measured data. Comparisons reveal that sub-harmonic error waves are increasingly important in shallow depth, increasing wave run-up by up to 67% and dynamic force by up to 75% at k0d = 0.6 compared to the case of correct (second-order) generation in a relatively short flume.
COASTAL ENGINEERING
(2023)
Article
Mathematics, Applied
Bulent Karasozen, Gulden Mulayim, Murat Uzunca, Suleyman Yildiz
Summary: In this study, reduced-order models (ROMs) were developed for a nonlinear cross-diffusion problem involving the SKT equation with Lotka-Volterra kinetics. By separating time into two intervals, more accurate reduced-order solutions were computed, outperforming global proper orthogonal decomposition solutions. The use of proper orthogonal decomposition in a tensorial framework accelerated the computation of reduced-order solutions independently of full-order solutions, showing prediction capabilities for one- and two-dimensional patterns. Additionally, the decrease in entropy by the reduced solutions played a crucial role in ensuring the global existence of solutions for nonlinear cross-diffusion equations like the SKT equation.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Ocean
Malte Mittendorf, Ulrik D. Nielsen, Harry B. Bingham
Summary: This paper applies machine learning methods to predict the added-wave resistance of ships in head to beam wave conditions. Three nonlinear regression algorithms, namely Random Forests, Extreme Gradient Boosting Machines and Multilayer Perceptrons, are compared in the study. The dataset used in the study is derived from results of three different potential flow methods. The paper focuses on data preprocessing and hyperparameter study, and validates the final models against numerical and experimental data as well as established prediction techniques.
APPLIED OCEAN RESEARCH
(2022)
Article
Acoustics
Hermes Sampedro Llopis, Allan P. Engsig-Karup, Cheol-Ho Jeong, Finnur Pind, Jan S. Hesthaven
Summary: This paper presents a computational efficient and accurate method for room acoustic simulations using a reduced basis method. By solving the problem in a low-dimensional subspace for parametrized boundary conditions, the computational burden is significantly reduced. The use of the Laplace domain ensures the stability of the model. Experimental results show that this method achieves significant speedups compared to traditional methods.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
(2022)
Article
Engineering, Environmental
Rocco Palmitessa, Morten Grum, Allan Peter Engsig-Karup, Roland Lowe
Summary: This study proposes a physics-guided machine learning approach for fast and accurate surrogate modelling of urban drainage system hydraulics. It significantly reduces simulation times compared to traditional HiFi models while preserving a high level of model detail.
Article
Computer Science, Interdisciplinary Applications
Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham
Summary: This study presents a scalable two-dimensional Galerkin spectral element method for solving the radiation problem in linearized potential flow induced by waves on a floating offshore structure. The method shows excellent agreement with known benchmark results and demonstrates high accuracy and efficiency.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2023)
Article
Engineering, Ocean
Yan Xu, Harry B. Bingham, Yanlin Shao
Summary: A fully nonlinear higher-order finite difference based potential flow solver with an immersed boundary method is developed in this paper to predict nonlinear wave loading on marine structures. The solver adopts high-order finite difference schemes for the spatial derivatives and a 4th order Runge-Kutta method for time stepping. Test cases including forced oscillation of a cylinder, wave generation using a piston type wave maker, and analysis of nonlinear wave loads on a forced heaving cylinder are conducted to validate the solver's performance.
APPLIED OCEAN RESEARCH
(2023)
Article
Acoustics
Hermes Sampedro Llopis, Cheol-Ho Jeong, Allan P. Engsig-Karup
Summary: Quick simulations using the reduced basis method (RBM) are essential for finding optimal acoustic conditions in building design. RBM enables quick evaluations of changing absorption materials for different surfaces in room acoustic simulations with inhomogeneous properties. This study investigates the application of RBM in various geometries and inhomogeneous surface absorption with significant speedup compared to high fidelity numerical solver.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
(2023)
Article
Engineering, Marine
Malte Mittendorf, Ulrik Dam Nielsen, Harry B. Bingham, Jesper Dietz
Summary: This study provides statistical analysis of the mean added resistance for ships in actual conditions by merging telemetry data of more than 200 in-service container vessels with ocean re-analysis data. Theoretical estimates are made for both long- and short-crested waves based on a combination of spectral calculations and a semi-empirical formula. The comparison reveals biases in bow oblique waves and higher sea states of the spectral estimates, as well as a large variance of the empirically derived predictions.
Article
Engineering, Ocean
Malte Mittendorf, Ulrik Dam Nielsen, Harry B. Bingham
Summary: In this study, synthetic monitoring data is used to predict the required shaft power for the KVLCC2, and three incremental learning methods are applied to overcome the concept drift. An implicit methodology for quantifying the changing hull and propeller performance is presented, and a generic feature engineering framework is used to eliminate insignificant features. The study confirms the importance of data quality for accurate machine learning-driven performance monitoring, even in simulated environments.
APPLIED OCEAN RESEARCH
(2023)
Article
Mechanics
Tianning Tang, Charlotte Moss, Samuel Draycott, Harry B. Bingham, Ton S. van den Bremer, Yan Li, Thomas A. A. Adcock
Summary: This study investigates the phenomenon of rogue waves in multidirectional waves and finds that the formation probability of rogue waves decreases in directional seas compared to unidirectional seas. However, for typical values of directional spreading in the ocean, there is still a significant enhancement to the number of rogue waves just beyond the top of a depth discontinuity.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Multidisciplinary Sciences
Ulrik D. Nielsen, Harry B. Bingham, Astrid H. Brodtkorb, Toshio Iseki, Jorgen J. Jensen, Malte Mittendorf, Raphael E. G. Mounet, Yanlin Shao, Gaute Storhaug, Asgeir J. Sorensen, Tomoki Takami
Summary: This paper provides an overview of the technology that estimates waves using measured ship responses, which can provide accurate wave spectrum data at a lower cost.
SCIENTIFIC REPORTS
(2023)
Article
Physics, Fluids & Plasmas
Jinyu Yao, Harry B. Bingham, Xinshu Zhang
Summary: In this study, a high-order spectral model is developed to investigate the effects of bottom and free-surface nonlinearities on the generation and propagation of mini-tsunamis. The analyses show that both bottom and free-surface nonlinearities increase the wave amplitude of mini-tsunamis, with the influence of free-surface nonlinearities being more significant in narrower channels. Second-order free-surface nonlinearities provide the most important contribution to the phenomenon.
PHYSICAL REVIEW FLUIDS
(2023)
Article
Energy & Fuels
Barour Joensen, Harry B. Bingham, Robert W. Read, Kim Nielsen, Jokin Brito Trevino
Summary: This study evaluates the hydrodynamic performance of an oscillating water column wave energy converter. The results show that up-stroke venting generally yields a higher power absorption than down-stroke venting and the two-way energy capture generally yields a higher power absorption compared to the one-way energy capture. However, the numerical calculations over-predict the absorbed power in the one-way configuration, which may be attributed to the imperfect venting system in the physical model.
Article
Engineering, Marine
Baoshun Zhou, Zhixun Yang, Mostafa Amini-Afshar, Yanlin Shao, Harry B. Bingham
Summary: In the hydroelastic analysis of large floating structures, accurate prediction of response relies on the structural stiffness. However, obtaining exact structural stiffness is challenging due to the complexity of modern ship structures. This study proposes an efficient analysis technique that combines finite element and finite difference methods to calculate structural stiffness and solve hydrodynamic problems.
Article
Mathematical & Computational Biology
Bjorn C. S. Jensen, Allan P. Engsig-Karup, Kim Knudsen
Summary: The use of epidemic modelling and predictions is crucial for understanding disease dynamics and making informed decisions. This study proposes the use of the generalized Polynomial Chaos framework for efficient uncertainty quantification in compartmental epidemic models. The results of two case studies based on Danish Covid-19 data demonstrate the applicability and efficiency of this technique for uncertainty quantification in epidemic modelling.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
(2022)
Article
Computer Science, Interdisciplinary Applications
Tian Liang, Lin Fu
Summary: In this work, a new shock-capturing framework is proposed based on a new candidate stencil arrangement and the combination of infinitely differentiable non-polynomial RBF-based reconstruction in smooth regions with jump-like non-polynomial interpolation for genuine discontinuities. The resulting scheme achieves high order accuracy and resolves genuine discontinuities with sub-cell resolution.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Lukas Lundgren, Murtazo Nazarov
Summary: In this paper, a high-order accurate finite element method for incompressible variable density flow is introduced. The method addresses the issues of saddle point system and stability problem through Schur complement preconditioning and artificial compressibility approaches, and it is validated to have high-order accuracy for smooth problems and accurately resolve discontinuities.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Gabriele Ciaramella, Laurence Halpern, Luca Mechelli
Summary: This paper presents a novel convergence analysis of the optimized Schwarz waveform relaxation method for solving optimal control problems governed by periodic parabolic PDEs. The analysis is based on a Fourier-type technique applied to a semidiscrete-in-time form of the optimality condition, which enables a precise characterization of the convergence factor at the semidiscrete level. The behavior of the optimal transmission condition parameter is also analyzed in detail as the time discretization approaches zero.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jonas A. Actor, Xiaozhe Hu, Andy Huang, Scott A. Roberts, Nathaniel Trask
Summary: This article introduces a scientific machine learning framework that uses a partition of unity architecture to model physics through control volume analysis. The framework can extract reduced models from full field data while preserving the physics. It is applicable to manifolds in arbitrary dimension and has been demonstrated effective in specific problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Nozomi Magome, Naoki Morita, Shigeki Kaneko, Naoto Mitsume
Summary: This paper proposes a novel strategy called B-spline based SFEM to fundamentally solve the problems of the conventional SFEM. It uses different basis functions and cubic B-spline basis functions with C-2-continuity to improve the accuracy of numerical integration and avoid matrix singularity. Numerical results show that the proposed method is superior to conventional methods in terms of accuracy and convergence.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Timothy R. Law, Philip T. Barton
Summary: This paper presents a practical cell-centred volume-of-fluid method for simulating compressible solid-fluid problems within a pure Eulerian setting. The method incorporates a mixed-cell update to maintain sharp interfaces, and can be easily extended to include other coupled physics. Various challenging test problems are used to validate the method, and its robustness and application in a multi-physics context are demonstrated.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Xing Ji, Fengxiang Zhao, Wei Shyy, Kun Xu
Summary: This paper presents the development of a third-order compact gas-kinetic scheme for compressible Euler and Navier-Stokes solutions, constructed particularly for an unstructured tetrahedral mesh. The scheme demonstrates robustness in high-speed flow computation and exhibits excellent adaptability to meshes with complex geometrical configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Alsadig Ali, Abdullah Al-Mamun, Felipe Pereira, Arunasalam Rahunanthan
Summary: This paper presents a novel Bayesian statistical framework for the characterization of natural subsurface formations, and introduces the concept of multiscale sampling to localize the search in the stochastic space. The results show that the proposed framework performs well in solving inverse problems related to porous media flows.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jacob Rains, Yi Wang, Alec House, Andrew L. Kaminsky, Nathan A. Tison, Vamshi M. Korivi
Summary: This paper presents a novel method called constrained optimized DMD with Control (cOptDMDc), which extends the optimized DMD method to systems with exogenous inputs and can enforce the stability of the resulting reduced order model (ROM). The proposed method optimally places eigenvalues within the stable region, thus mitigating spurious eigenvalue issues. Comparative studies show that cOptDMDc achieves high accuracy and robustness.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andrea La Spina, Jacob Fish
Summary: This work introduces a hybridizable discontinuous Galerkin formulation for simulating ideal plasmas. The proposed method couples the fluid and electromagnetic subproblems monolithically based on source and employs a fully implicit time integration scheme. The approach also utilizes a projection-based divergence correction method to enforce the Gauss laws in challenging scenarios. Numerical examples demonstrate the high-order accuracy, efficiency, and robustness of the proposed formulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Junhong Yue, Peijun Li
Summary: This paper proposes two numerical methods (IP-FEM and BP-FEM) to study the flexural wave scattering problem of an arbitrary-shaped cavity on an infinite thin plate. These methods successfully decompose the fourth-order plate wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions on the cavity boundary, providing an effective solution to this challenging problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
William Anderson, Mohammad Farazmand
Summary: We develop fast and scalable methods, called RONS, for computing reduced-order nonlinear solutions. These methods have been proven to be highly effective in tackling challenging problems, but become computationally prohibitive as the number of parameters grows. To address this issue, three separate methods are proposed and their efficacy is demonstrated through examples. The application of RONS to neural networks is also discussed.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Marco Caliari, Fabio Cassini
Summary: In this paper, a second order exponential scheme for stiff evolutionary advection-diffusion-reaction equations is proposed. The scheme is based on a directional splitting approach and uses computation of small sized exponential-like functions and tensor-matrix products for efficient implementation. Numerical examples demonstrate the advantage of the proposed approach over state-of-the-art techniques.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo
Summary: This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jialei Li, Xiaodong Liu, Qingxiang Shi
Summary: This study shows that the number, centers, scattering strengths, inner and outer diameters of spherical shell-structured sources can be uniquely determined from the far field patterns. A numerical scheme is proposed for reconstructing the spherical shell-structured sources, which includes a migration series method for locating the centers and an iterative method for computing the inner and outer diameters without computing derivatives.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)