Article
Multidisciplinary Sciences
Fuzhang Wang, Shafiq Ahmad, Qasem Al Mdallal, Maha Alammari, Muhammad Naveed Khan, Aysha Rehman
Summary: This article mainly focuses on the influence of chemical reaction slip condition on the unsteady three-dimensional Maxwell bio-convective nanomaterial liquid flow towards an exponentially expanding surface. The study examines the changes in temperature, velocity, microorganism, and concentration field through numerical calculations and graphical evaluation. The results show that the involvement of unsteadiness parameter restricts the transition from laminar to turbulent flow, while the velocity slip parameter has a decreasing effect on velocity components.
SCIENTIFIC REPORTS
(2022)
Article
Computer Science, Interdisciplinary Applications
S. Maity, R. Krishanan, S. K. Singh, B. S. Dandapat, D. Sen
Summary: This study investigates the flow of carbon nanotubes suspended in a nonlinear unsteady stretching thin film and examines the effects of various parameters on the film.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Engineering, Chemical
U. S. Mahabaleshwar, K. N. Sneha, Huang-Nan Huang
Summary: This study investigates the thermohydrodynamic attribution of boundary layer flow of incompressible liquid with carbon nanotubes, considering mass transpiration and radiation effect. The results suggest that carbon nanotubes have promising potential for heat transfer applications. Closed-form analytical solutions for velocity and temperature are obtained, and the behavior of velocity distribution and wall heat flux is analyzed.
JOURNAL OF THE TAIWAN INSTITUTE OF CHEMICAL ENGINEERS
(2022)
Article
Materials Science, Multidisciplinary
Kanghwan Ahn, Ji Hoon Kim
Summary: A theoretical model was proposed to account for the localized necking of sheet metal under biaxial stretching condition. By assuming that the deformation of sheet metal becomes locally inhomogeneous after the onset of diffuse necking, the model successfully predicted the distribution of limit strains in the experiments. This study is of great importance for understanding the localized necking phenomenon in sheet metal.
MECHANICS OF MATERIALS
(2022)
Article
Thermodynamics
Umair Khan, Aurang Zaib, Ioan Pop, Iskandar Waini, Anuar Ishak
Summary: This paper investigates the behavior of mixed convection magnetohydrodynamic flow and heat transfer induced by a nonlinear stretching/shrinking sheet in a nanofluid with a convective boundary condition using the Tiwari-Das mathematical nanofluid model. The results show that for a certain range of the stretching/shrinking parameter, two solutions are obtained, with the friction factor and heat transfer rate increasing for the upper branch solution and decreasing for the lower branch solution. The effect of nanoparticle volume fraction on heat transfer rate behaves differently in the presence of mixed convection effect, and the fluid temperature increases with increasing Biot number for both solutions.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2022)
Article
Thermodynamics
Azhar Ali, Dil Nawaz Khan Marwat
Summary: The classical problems of natural and forced convection flows are combined into a single model with new variables, solving for force convection flow and heat transfer on a vertical stretching (shrinking) and porous (impermeable) sheet. The numerical solution reveals the effects of suction, stretching, convection parameters, and Prandtl number on flow and heat transfer characteristics. Comparisons with existing studies demonstrate the applicability, validity, and high accuracy of the proposed approach.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Multidisciplinary Sciences
Zakir Hussain, Tasawar Hayat, Ahmed Alsaedi, Muhammad Shoaib Anwar
Summary: This study compares the flow of SWCNTs and MWCNTs nanofluids under the effects of temperature dependent viscosity and mixed convection, finding that higher volume fraction enhances the flow of nanoliquid and MWCNTs have higher velocity than SWCNTs. Furthermore, the relationship between temperature and viscosity variable affects heat transfer.
SCIENTIFIC REPORTS
(2021)
Article
Thermodynamics
Ram Prakash Sharma, Abhishek Sharma, S. R. Mishra
Summary: The objective of this study is to investigate the magnetohydrodynamic flow of viscous liquid through a nonlinear curved enlarging sheet with the presence of a heat source. The discussion explores the effects of heterogeneous and homogeneous reactions influenced by heat source and transverse magnetic field. The convective heating mechanism enriches the flow phenomena. The governing equations are transformed into dimensionless form and solved numerically. The study reveals the significant impact of curvature constraint, stretching index, and temperature on fluid velocity and the influence of power law stretching index, Biot number, and heat source on fluid temperature.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2023)
Article
Thermodynamics
R. Naveen Kumar, R. J. Punith Gowda, Mohammad Mahtab Alam, Irfan Ahmad, Y. M. Mahrous, M. R. Gorji, B. C. Prasannakumara
Summary: The study focuses on the flow of nanofluid over a curved stretching sheet, discussing heat and mass transfer, activation energy, and the use of CuO with waterbased nanofluid in the model. By utilizing the Koo-Kleinstreuer-Li (KKL) model, the viscosity and effective thermal conductivity of the fluid suspended by nanoparticles are examined. The results reveal the impact of non-dimensional parameters on thermal gradient and mass transfer in the nanofluid flow.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2021)
Article
Mathematics, Applied
Dondu Harish Babu, Singamala Harinath Reddy, Kolla Kumaraswamy Naidu, Panyam Venkata Satya Narayana, Bhumarapu Venkateswarlu
Summary: This study presents an analysis of entropy generation in convective nanofluid flow over a three-dimensional nonlinear stretching sheet with slip effects. The influence of physical stream factors on the nanofluid concentration, heat, and speed profiles is explored through plots. Heat transfer rate and surface drag force are examined through tabular structures, showing that nanofluids have higher heat transfer capability and improved thermal properties. The use of slip factors in velocity boundary conditions and limit conditions for nanoparticle hotness and speed is discussed. Heat transfer rate in a nonlinear stretching sheet is 1%-2% higher than in a linear stretching sheet for varying Prandtl number and Magnetic field values.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Thermodynamics
S. Saranya, P. Ragupathi, Qasem Al-Mdallal
Summary: Bio-convection is widely used in ecologically beneficial applications such as pharmaceuticals and biological polymer production. This study investigates the bio-convective heat transfer caused by the swimming of micro-organisms in a nanofluid and discusses the effects of various parameters on micro-organism concentration, temperature, and velocity.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Chemistry, Physical
Muhammad Mumtaz, Saeed Islam, Hakeem Ullah, Zahir Shah
Summary: This research article examines the flow of modified hybrid nanofluid on a curved stretching sheet under the influence of electricity and magnetism. The study evaluates the heat and mass transfer properties of the ternary nanofluid and concludes that increasing the curvature enhances the velocity profile while the impact of the magnetic factor is opposite. The research also highlights the importance of nanofluids in nanotechnology and their potential for enhancing heat transfer.
JOURNAL OF MOLECULAR LIQUIDS
(2023)
Article
Engineering, Multidisciplinary
D. Harish Babu, K. Kumaraswamy Naidu, Satya Deo, P. V. Satya Narayana
Summary: A mathematical model is proposed to analyze the impacts of inclined magnetic field and velocity slip on a hybrid nanoliquid over an exponentially elongated sheet in the presence of thermal heat flux. The influence of various parameters on fluid velocity and dimensionless temperature are discussed graphically. The fluid momentum and dimensionless temperature are dominant for hybrid nanoliquid against a single wall or multi-wall carbon tubes/water. Also, the heat transfer rate decelerates by increasing the slip parameter and the magnetic parameter.
INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION
(2023)
Article
Materials Science, Multidisciplinary
Bagh Ali, Imran Siddique, Ilyas Khan, Bilal Masood, Sajjad Hussain
Summary: The study investigates the flow characteristics of carbon nanotube nanoparticles micropolar ferromagnetic fluid using the finite element method. Detailed parametric study reveals that increasing the ferromagnetic interaction parameter slows down fluid velocity while increasing microrotation and thermal distribution.
RESULTS IN PHYSICS
(2021)
Article
Thermodynamics
MD. Shamshuddin, Anwar Saeed, S. R. Mishra, Ramesh Katta, Mohamed R. Eid
Summary: This study provides a distinctive contribution by comprehensively examining heat and mass transfer phenomena in nanofluids under exponentially stretching velocities, and explores the intriguing interplay of gyrotactic microorganisms and convective boundary conditions.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2023)
Article
Mathematics, Applied
Zahid Nisar, Tasawar Hayat, Ahmed Alsaedi, Bashir Ahmad
Summary: The current article investigates the magnetohydrodynamic (MHD) radiative peristaltic flow of a couple stress nanoliquid in a symmetric channel. The influences of Joule heating, viscous dissipation, Brownian motion, thermophoresis, and a first-order chemical reaction on the flow characteristics are examined. The findings show that temperature increases with increasing Brownian motion and thermophoresis parameters, while it decreases with radiation variable. The concentration of the fluid decreases for a couple stress fluid variable, and the heat transfer coefficient increases with the Eckert number.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Santosh Biswas, Bashir Ahmad, Subhas Khajanchi
Summary: In this paper, we investigate a predator-prey system with cannibalism and infection. We study the model in presence of delays for the maturation of prey and predator. The local stability and bifurcation analysis around realistic steady states are investigated. Our findings demonstrate the destabilizing effect of maturation delays and the self-regulatory role of cannibalism in controlling disease transmission and stabilizing the oscillations in the system.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Computer Science, Artificial Intelligence
G. Narayanan, M. Syed Ali, Hamed Alsulami, Tareq Saeed, Bashir Ahmad
Summary: This paper proposes a novel approach to solve the synchronization problem of T-S fuzzy fractional-order discrete-time complex-valued genetic regulatory networks. Several effective conditions are derived based on algebraic inequality and complex-valued linear matrix inequalities. Our results are less conservative than existing ones.
NEURAL PROCESSING LETTERS
(2023)
Article
Mathematics
Ahmed Alsaedi, Mokhtar Kirane, Ahmad Z. Fino, Bashir Ahmad
Summary: By using the nonlinear capacity method, some results are obtained regarding the nonexistence of nontrivial solutions to time and space fractional differential evolution equations with transformed space argument. These results are then applied to a 2 x 2 system of equations with transformed space arguments.
BULLETIN OF MATHEMATICAL SCIENCES
(2023)
Article
Mathematics, Applied
Nemat Nyamoradi, Bashir Ahmad
Summary: This work explores the existence of solutions to a new class of boundary value problems, which consist of a system of nonlinear differential equations with generalized fractional derivative operators of different orders and nonlocal boundary conditions containing Riemann-Stieltjes and generalized fractional integral operators. The study emphasizes that the nonlinearities in the system are of general form, depending on both the unknown functions and their lower order generalized fractional derivatives. The uniqueness of the given problem is proved by applying the Banach contraction mapping principle, and the existence of solutions for the given system is demonstrated using Leray-Schauder alternative. Two concrete examples are provided to illustrate the obtained results.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2023)
Article
Mathematics
Santosh Kumar Sharma, Amar Nath Chatterjee, Bashir Ahmad
Summary: The study focuses on the effects of antiviral therapy on Hepatitis C Virus (HCV) infection. HCV infection damages healthy hepatocyte cells in the liver, leading to cirrhosis and hepatocellular carcinoma. A cell-population model is introduced to understand the long-term dynamics of HCV infection under antiviral drug therapies. The model considers the interactions between susceptible hepatocytes, infected hepatocytes, and HCV to provide a comprehensive understanding of the host dynamics.
Article
Mathematics, Applied
Nattapong Kamsrisuk, Sotiris K. Ntouyas, Bashir Ahmad, Ayub Samadi, Jessada Tariboon
Summary: In this paper, we investigate the existence and uniqueness of solutions to a nonlinear coupled systems of (k,phi)-Hilfer fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions. We make use of the Banach contraction mapping principle to obtain the uniqueness result, while the existence results are proved with the aid of Krasnosel'skii's fixed point theorem and Leray-Schauder alternative for the given problem. Examples demonstrating the application of the abstract results are also presented. Our results are of quite general nature and specialize in several new results for appropriate values of the parameters beta(1), beta(2), and the function ' involved in the problem at hand.
Article
Mathematics, Interdisciplinary Applications
Bashir Ahmad, Shorog Aljoudi
Summary: This article investigates the existence criteria for solutions of a nonlinear coupled system of Hilfer-Hadamard fractional differential equations of different orders complemented with nonlocal coupled Hadamard fractional integral boundary conditions. The desired results are achieved using standard fixed-point theorems. The fixed point approach is highlighted as one of the effective methods to establish the existence results for boundary value problems. Examples illustrating the obtained results are provided.
FRACTAL AND FRACTIONAL
(2023)
Article
Automation & Control Systems
Ahmed Alsaedi, Jinde Cao, Bashir Ahmad, Ahmed Alshehri, Xuegang Tan
Summary: This article proposes a distributed adaptive control scheme for second-order leader-following multiagent systems with only position information as output. An auxiliary network is used to estimate unmeasurable velocity information and make the output-based distributed adaptive control protocol effective. The distributed synchronization criteria are established, and the convergence analysis is provided based on the stability theory. Several simulation examples are presented to validate the proposed criteria.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Chemistry, Multidisciplinary
Sohail A. Khan, T. Hayat, A. Alsaedi
Summary: In this study, the magnetohydrodynamic bioconvective flow of a non-Newtonian nanomaterial over a stretched sheet is analyzed. The convective conditions and irreversibility analysis in the presence of gyrotactic micro-organisms are discussed. Energy expressions considering thermal radiation, heat generation, and ohmic heating are used. By employing Buongiorno's model, the characteristics of the nanoliquid through thermophoresis and random diffusions are studied. Nonlinear expressions of the model are transformed through adequate transformations and computed using the Newton built in-shooting technique. Graphical studies are conducted on influential variables for velocity, concentration, microorganism field, temperature, and entropy rate. Significant findings include velocity reduction with bioconvection Rayleigh number and magnetic variable, temperature augmentation with higher heat generation variable, and entropy and temperature enhancement with increased magnetic variable.
NANOSCALE ADVANCES
(2023)
Article
Chemistry, Multidisciplinary
Aneeta Razaq, Tasawar Hayat, Sohail A. Khan, Ahmed Alsaedi
Summary: This study investigates the hydromagnetic entropy optimized flow of a hybrid nanoliquid (Pb + Fe2O3/C2H6O2) on a curved stretchable surface. The Darcy-Forchheimer model is used for the porous space, with lead (Pb) and ferric oxide (Fe2O3) as the nanoparticles and ethylene glycol (C2H6O2) as the base liquid. The effects of various variables on velocity, thermal field, and entropy are analyzed. The results show that an increase in thermal relaxation time enhances heat transport rate and temperature, while an increase in the magnetic variable intensifies entropy and thermal field.
NANOSCALE ADVANCES
(2023)
Article
Mathematics, Interdisciplinary Applications
Bashir Ahmad, Manal Alnahdi, Sotiris K. Ntouyas
Summary: In this study, a new notion of nonlocal closed boundary conditions is presented. By applying these conditions, the existence of solutions for a mixed nonlinear differential equation involving a right Caputo fractional derivative operator and left and right Riemann-Liouville fractional integral operators of different orders is discussed. A decent and fruitful approach of fixed point theory is employed to establish the desired results. Examples are provided to illustrate the main findings. The paper concludes with some interesting observations.
FRACTAL AND FRACTIONAL
(2023)
Article
Chemistry, Multidisciplinary
Sohail A. Khan, T. Hayat, A. Alsaedi
Summary: In this study, the magnetohydrodynamic bioconvective flow of a non-Newtonian nanomaterial over a stretched sheet is examined. The convective conditions and the effects of gyrotactic micro-organisms are analyzed. The obtained results show that the velocity decreases with the bioconvection Rayleigh number and magnetic variable, while the temperature and entropy increase with higher heat generation and magnetic variable. The concentration in the microorganism field decreases with a higher Peclet number, and the temperature distribution increases with radiation and solutal Biot number. The entropy rate increases with radiation and diffusion variables.
NANOSCALE ADVANCES
(2023)
Article
Mathematics, Applied
Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra
Summary: This paper investigates the existence of mild solutions to a non-instantaneous integrodifferential equation using resolvent operators in the sense of Grimmer in Frechet spaces. Sufficient criteria ensuring the controllability of the given problem are presented by utilizing the technique of measures of noncompactness in conjunction with the Darbo's fixed point theorem. An illustrative example is also discussed.
CUBO-A MATHEMATICAL JOURNAL
(2023)
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)
