Article
Computer Science, Interdisciplinary Applications
Javier Rivero-Rodriguez, Miguel Perez-Saborid, Benoit Scheid
Summary: The article discusses solving physical problems with partial differential equations in unknown domains using the Arbitrary Lagrangian-Eulerian (ALE) method, and introduces the Differential Boundary Arbitrary Lagrangian-Eulerian (DBALE) method, which is based on the boundary displacement satisfying a boundary partial differential equation, problem-independent, and leading to uniform mesh deformation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Multidisciplinary
Filip Ivancic, Maxim Solovchuk
Summary: An energy stable finite element scheme is developed within the ALE framework to simulate the dynamics of millimetric droplets in contact with solid surfaces. It is validated numerically and shown to accurately capture complex droplet dynamics, such as sliding and rolling, on non-homogeneous inclined surfaces while maintaining stability.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Computer Science, Interdisciplinary Applications
Mack Kenamond, Dmitri Kuzmin, Mikhail Shashkov
Summary: This paper presents a new intersection-distribution-based remapping method for hydrodynamics simulation between different polygonal meshes. By conservatively remapping mass and momentum using intersections between source and target meshes, the method aims to improve accuracy and flexibility in the simulation process.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Daniel Shigueo Morikawa, Mitsuteru Asai
Summary: This work extends the corrected ALE-ISPH method to surface tension simulations. By making some small modifications, this method can effectively simulate surface tension phenomena. Validation and verification tests have shown the reliability of this method under a wide range of conditions.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Mathematics, Applied
Lingling Zhou, Yinhua Xia
Summary: In this paper, an arbitrary Lagrangian-Eulerian local discontinuous Galerkin (ALE-LDG) method for one-dimensional linear convection-diffusion problems is presented and analyzed. The semi-discrete ALE-LDG method is shown to preserve L-2-stability and sub-optimal (k + 1/2) convergence rate, while the fully discrete ALE-LDG schemes are proved to be stable and have optimal convergence rate under a time step restriction. Numerical examples are provided to illustrate the theoretical results.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Mathematics, Applied
Buyang Li, Yinhua Xia, Zongze Yang
Summary: This article presents an optimal-order error estimate for the arbitrary Lagrangian-Eulerian (ALE) finite element method, considering a parabolic equation in an evolving domain. The method utilizes high-order iso-parametric finite elements with flat simplices in the domain's interior. The mesh velocity can be a linear approximation of a given bulk velocity field or a numerical solution of the Laplace equation with specified boundary value. The optimal order of convergence is achieved by comparing the numerical solution with the ALE-Ritz projection of the exact solution and establishing an optimal-order estimate for the material derivative of the ALE-Ritz projection error.
IMA JOURNAL OF NUMERICAL ANALYSIS
(2023)
Article
Engineering, Marine
Ali Tolooiyan, Kenneth Gavin, Ashley P. Dyson
Summary: This paper presents the design of a spudcan foundation installed off the coast of Tunisia, using traditional analytical methods. A combination of analytical techniques, 2-dimensional axisymmetric modeling, and 3-dimensional Finite Element Methods (FEM) with ALE techniques is used to predict the maximum penetration depth of the footing under the available preload. The comparison between FEM simulation results and SNAME guidelines is based on the spudcan penetration determined from CPT soil profiles simulated by FEM.
Article
Computer Science, Interdisciplinary Applications
Joseph Nakao, Jiajie Chen, Jing-Mei Qiu
Summary: We propose a new Eulerian-Lagrangian Runge-Kutta finite volume method for numerically solving convection and convection-diffusion equations. The method allows large time steps and achieves high-order spatial reconstruction and temporal accuracy.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Mechanical
Xiaoying Wang, Zijie Fan, Liangjin Gui
Summary: A novel numerical method using the arbitrary Lagrangian-Eulerian method to optimize the shape of contact surfaces in complex engineering components is developed. The method adjusts node coordinates of the contact surface in the finite element model through a user subroutine in ABAQUS (R), gradually changing the profile according to local contact pressure. A termination criterion based on the coefficient of variation controls the optimization process, resulting in continuous modification until a new profile is obtained.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2021)
Article
Thermodynamics
Rainald Lohner, Lingquan Li, Orlando Antonio Soto, Joseph David Baum
Summary: This study aims to evaluate the blast loads on and the response of submerged structures. An arbitrary Lagrangian-Eulerian method is developed to model fluid-structure interaction problems. The difference in flow mechanisms between rigid and deforming targets is quantified and evaluated.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2023)
Article
Computer Science, Interdisciplinary Applications
Jianzhen Qian, Zupeng Jia, Fang Qing, Pei Wang
Summary: This article presents a new interface-unaware sub-scale dynamics multimaterial cell closure model for the Lagrangian stage of the cell-centered arbitrary Lagrangian-Eulerian method. The model consists of two stages, utilizing a constant volume fraction model and pressure relaxation models to handle the interactions between materials in multimaterial cells.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Yapeng Li, Yegao Qu, Fangtao Xie, Guang Meng
Summary: This paper presents a numerical method for predicting the nonlinear structural-acoustic interactions between a hyperelastic solid and a compressible viscous fluid. The method accounts for the nonlinearities of both the fluid and solid, and couples the two models using finite element discretization and common interface conditions. The analysis of a hyperelastic ring in a viscous fluid reveals the nonlinear dynamics behaviors, including deformation instability and internal resonance phenomena.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Mechanical
Daniele Di Cristofaro, Andrea Opreni, Massimiliano Cremonesi, Roberto Carminati, Attilio Frangi
Summary: In this study, a simulation strategy for the numerical computation of quality factors in resonant MEMS micromirrors is proposed. The proposed method is validated by comparing the numerical results with experimental data, demonstrating its accuracy and efficiency.
Article
Engineering, Marine
Laura Battaglia, Ezequiel J. Lopez, Marcela A. Cruchaga, Mario A. Storti, Jorge D'Elia
Summary: This paper focuses on the validation of the evolution of the free surface in 3D sloshing models and proposes a global mass-conservation strategy for long-term simulations. The performance of the proposed model is evaluated by comparing the numerical results with experimental data.
Article
Computer Science, Interdisciplinary Applications
Martin Ferrand, Jeffrey C. Harris
Summary: This study presents an Arbitrary Lagrangian-Eulerian (ALE) algorithm for simulating water wave propagation with viscous effects, and tests its capabilities for modeling water wave generation, propagation, and interaction with structures. The results show that the approach is effective at reproducing wave profiles and forces on bodies when grids with excessive numerical dissipation are avoided.
COMPUTERS & FLUIDS
(2021)
Article
Mechanics
Filip Ivancic, Tony W. H. Sheu, Maxim Solovchuk
Article
Engineering, Multidisciplinary
Filip Ivancic, Tony W. H. Sheu, Maxim Solovchuk
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Mechanics
Kumar Saurabh, Maxim A. Solovchuk, Tony Wen-Hann Sheu
Summary: The lattice Boltzmann method (LBM) has been widely used in simulating a variety of hydrodynamic and non-hydrodynamic systems, especially in conjunction with the immersed boundary method (IBM) for solving complex geometries. This study introduced the immersed boundary-lattice Boltzmann method (IB-LBM) to simulate nanoscale ion transport, utilizing the fourth order Poisson-Nernst-Planck-Bikerman (4PNPBik) model. The applicability of the 4PNPBik model was demonstrated through comparing experimental and predicted ion activity, and validated by comparing predicted current-voltage curve with analytical results. The study also discussed the role of finite size particles and nonlocal electrostatics in ion transport by comparing results from PNP and 4PNPBik models under the same conditions.
Article
Medicine, General & Internal
Tatiana Filonets, Maxim Solovchuk, Wayne Gao, Tony Wen-Hann Sheu
Summary: Case isolation, contact tracing, and mask wearing are effective intervention measures in controlling the spread of COVID-19, as seen in Taiwan's successful containment of the disease. Mathematical modeling shows that high levels of implementation of these interventions can help to control the outbreak, with different probabilities of outbreak control depending on factors such as mask usage and contact tracing. Superspreading events and restrictions on gathering and social distancing also play a role in controlling the outbreak.
JOURNAL OF CLINICAL MEDICINE
(2021)
Article
Mechanics
Yen-De Chou, Wei-Shien Hwang, Maxim Solovchuk, P. G. Siddheshwar, Tony Wen-Hann Sheu, Symphony Chakraborty
Summary: This paper conducts a two-dimensional linear and weakly nonlinear stability analysis on the problem of salt-finger convection, highlighting the possibility of sub-critical motions and instability regions. The study shows that the stationary mode is preferred over the oscillatory mode, and also discusses heat and mass transports in terms of the Nusselt number and Sherwood number.
Article
Engineering, Multidisciplinary
Filip Ivancic, Maxim Solovchuk
Summary: An energy stable finite element scheme is developed within the ALE framework to simulate the dynamics of millimetric droplets in contact with solid surfaces. It is validated numerically and shown to accurately capture complex droplet dynamics, such as sliding and rolling, on non-homogeneous inclined surfaces while maintaining stability.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Acoustics
Tatiana Filonets, Maxim Solovchuk
Summary: This study numerically investigates inertial cavitation thresholds under two forms of ultrasonic excitation. The results demonstrate that using dual-frequency signal mode can reduce the threshold pressure, and the criterion based on bubble size gives a lower threshold than the criterion based on bubble collapse speed. An increase in elasticity leads to an increase in the threshold pressure, while viscosity has a small impact on the optimal threshold. The study provides a detailed analysis of inertial cavitation in soft tissue under dual-frequency signal excitation.
ULTRASONICS SONOCHEMISTRY
(2022)
Article
Engineering, Multidisciplinary
Filip Ivancic, Maxim Solovchuk
Summary: This paper presents a finite element method (FEM) moving mesh strategy for simulating the dynamics of droplets on inclined surfaces within an arbitrary Lagrangian Eulerian (ALE) framework. The strategy is capable of tracking droplet evolution regardless of the flow regime and demonstrates a good tradeoff between stability and efficiency. Additionally, attention is given to the discrete energy balance and sources of spurious energy due to mesh motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Nanoscience & Nanotechnology
Kumar Saurabh, Maxim Solovchuk
Summary: The study focuses on fluid-ion transport in a nanochannel and aims to understand the impact of physical phenomena and medium properties on the flow. Mathematical models, including the fourth order Poisson-Nernst-Planck-Bikerman and Navier-Stokes equations, are used to describe the system. These models consider various interactions, particle size, and polarization effects. The validity of the models is confirmed through analytical and experimental comparisons, and the impact of different factors on fluid velocity is analyzed.
Article
Mechanics
Filip Ivancic, Maxim Solovchuk
Summary: A moving mesh finite element method is proposed to simulate the dynamics of viscoelastic droplets on inclined surfaces. The method incorporates the Oldroyd-B constitutive model to account for viscoelastic effects and uses generalized Navier boundary conditions to include non-homogeneous properties of the inclined surface. The droplet motion is handled using an arbitrary Lagrangian Eulerian framework. The proposed method is validated and compared for Newtonian and non-Newtonian droplets.
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
(2023)
Article
Chemistry, Multidisciplinary
Kumar Saurabh, Maxim Solovchuk, Tony Wen-Hann Sheu
Summary: This study explores the differences in selectivity between the ion channels of SARS-CoV-1 and SARS-CoV-2 E proteins, and investigates the effects of bath concentration and gradient on the binding ratios of sodium and chloride ions for SARS-CoV-2 E protein. The research findings provide insights into the ion transport properties of these viral proteins.
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
