Article
Engineering, Multidisciplinary
Chaemin Lee, Minam Moon, Jongho Park
Summary: This paper studies gradient smoothing methods (GSMs) with improved convergence behaviors for high-contrast problems such as the flow in heterogeneous porous media. The proposed GSM is adaptive to the heterogeneity of the problem and a multiscale variant is also introduced. The improved performance of the proposed methods is demonstrated through various numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
Minam Moon
Summary: In this paper, a generalized multiscale hybridizable discontinuous Galerkin (GMsHDG) method is proposed for nonlinear porous media. The method modifies the existing HDG framework and introduces linearization and generating reduced dimensional multiscale spaces. The error analysis demonstrates that the error decreases with the increasing eigenvalue of the local eigenvalue problem. Numerical experiments confirm the reliability and efficiency of the proposed method.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Djulustan Nikiforov
Summary: In this paper, a new multiscale approach with a meshfree coarse scale is proposed. The approach is based on the Generalized Multiscale Finite Element Method (GMsFEM), which takes into account the heterogeneous parameters of the problem on a coarse scale using multiscale basis functions. The Discrete Fracture Model (DFM) is employed to represent fractures on a fine grid. Numerical solutions for two-dimensional and three-dimensional problems are presented.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Energy & Fuels
Ilia Nikiforov, Ziaur Rahman
Summary: This paper presents a new method for approximately modeling 2-D ideal steady fluid flows with finite vorticity induced by actuator curves of arbitrary shape. The method is validated by computing the flow through a single Darrieus vertical-axis wind turbine (VAWT) and simulating a three-VAWT array. The results show a higher efficiency for the three-VAWT array compared to the single VAWT, demonstrating the effectiveness of the method.
Article
Engineering, Chemical
Yuan Yao, Jesse Capecelatro
Summary: This study presents a numerical framework for accurately computing electrically charged particles in wall-bounded flows, removing the contribution from periodic images by agnostically solving the electric Poisson equation and strategically mapping particle charges to the grid, while enforcing appropriate boundary conditions using a signed-distance levelset function.
Article
Mathematics, Interdisciplinary Applications
Qingqing Feng, Gregoire Allaire, Pascal Omnes
Summary: This paper presents an enriched nonconforming multiscale finite element method (MsFEM) for solving viscous incompressible flow problems in genuine heterogeneous or porous media. By using weighting functions defined by higher-degree polynomials, this method significantly improves the accuracy of nonconforming MsFEMs while finding a good compromise between accuracy and computing costs.
MULTISCALE MODELING & SIMULATION
(2022)
Article
Mechanics
Yohei Morii, Toshihiro Kawakatsu
Summary: A general multiscale and multiphysics simulation framework is proposed for inhomogeneous viscoelastic and elastoplastic complex flows, integrating macroscopic particle simulations with microscopic simulators to evaluate local stress. The platform combines SPH method and microscopic molecular simulators, allowing for simulation of complex flows with deformable objects. Dynamic switching of microscopic models and appropriate boundary conditions enable accurate simulations, demonstrating good quantitative agreement with experimental results.
Article
Computer Science, Interdisciplinary Applications
Manuel Colera, Jaime Carpio, Rodolfo Bermejo
Summary: In this work, a novel Lagrange-Galerkin method is presented for solving compressible and inviscid flows. The method utilizes high-order continuous finite elements for spatial discretization, high-order implicit-explicit Runge-Kutta schemes for time discretization, and conserves mass, momentum, and total energy. It also incorporates subgrid stabilization and discontinuity-capturing operators based on Brenner's model for viscous flows. The method has been successfully tested on benchmark problems and demonstrates accurate results for both smooth and discontinuous solutions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Lena Leitenmaier, Murtazo Nazarov
Summary: We propose a Heterogeneous Multiscale Method for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient, which serves as a simple model for a ferromagnetic composite. The combination of a finite element macro scheme and a finite difference micro model enables us to approximate the effective equation corresponding to the original problem. This method allows us to obtain efficient solutions for problems with rapid material variations on a small scale, described by epsilon << 1, which would be too costly to resolve in a conventional simulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Mathematics, Applied
Uygulaana Kalachikova, Maria Vasilyeva, Isaac Harris, Eric T. Chung
Summary: This paper investigates the scattering problem in a heterogeneous domain using the Helmholtz equation and absorbing boundary conditions. A fine unstructured grid that resolves grid-level perforation is constructed for the finite element method solution. The large system of equations resulting from these approximations is reduced using the Generalized Multiscale Finite Element Method. The method constructs a multiscale space using the solution of local spectral problems on the snapshot space in each local domain, and two types of multiscale basis functions are presented and studied. Numerical results for the Helmholtz problem in a heterogeneous domain with obstacles of varying properties are provided, examining different wavenumbers and numbers of multiscale basis functions.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Chemistry, Physical
Marek Klimczak, Witold Cecot
Summary: This paper presents a new approach using multiscale finite element method (MsFEM) to model steady-state heat transfer in heterogeneous materials. By modifying standard higher-order shape functions and applying them to the heat transfer problem, the method achieved good performance.
Article
Mathematics, Interdisciplinary Applications
Wei Yan, Wei Huang, Qun Huang, Jie Yang, Gaetano Giunta, Salim Belouettar, Heng Hu
Summary: This article proposes an efficient data-driven computing scheme based on the classical plate theory for the multiscale analysis of composite plates. The scheme uses a database constructed from the multiscale finite element method to compute strain and stress fields. Compared to traditional multiscale methods, the data-driven scheme reduces computational cost and improves efficiency.
COMPUTATIONAL MECHANICS
(2022)
Article
Mathematics, Applied
Gaspard Jankowiak, Alexei Lozinski
Summary: This paper presents a rigorous numerical analysis of a Multiscale Finite Element Method (MsFEM) for the Stokes system in highly heterogeneous media, based on the approach proposed by B.P. Muljadi et al. The method extends the classical Crouzeix-Raviart approach by generalizing it to arbitrary sets of weighting functions for enforcing continuity across mesh edges. Error bounds are provided for a specific set of weighting functions in a periodic setting, using an accurate estimate of the homogenization error. Numerical experiments demonstrate improved accuracy compared to Part I, both in the periodic case and in a broader setting.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
(2023)
Article
Engineering, Multidisciplinary
Abhilash Sreekumar, Savvas P. Triantafyllou, Francois-Xavier Becot, Fabien Chevillotte
Summary: A novel heterogeneous multi-scale method for consolidation analysis of two-dimensional porous domains with complex micro-structure is introduced. Utilizing a two-scale strategy and the Virtual Element Method, it accurately captures fine scale heterogeneities of arbitrary polygonal shapes. The method's performance in terms of accuracy and computational efficiency is evaluated through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Mathematics, Applied
Vaclav Heidler, Ondrej Bublik, Ales Pecka, Jan Vimmr
Summary: This paper investigates the Eulerian-Lagrangian and Eulerian-Eulerian approaches for simulating the interaction between free surface flow and particles. The lattice Boltzmann method with direction-dependent stabilization is proposed to minimize artificial diffusion in particle transport, and the particulate immersed boundary method is used to ensure the interaction between the fluid and particles. The developed schemes are compared and validated against literature results for free surfaces flow with complex geometries.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Review
Computer Science, Interdisciplinary Applications
F. Munoz-La Rivera, J. Mora-Serrano, I. Valero, E. Onate
Summary: The construction industry has traditionally been known for its high diversity of participants and processes, resistance to change, and low application of technology. However, it is currently undergoing a strong renovation process with the introduction of Building Information Modelling, Lean Construction, and Integrated Project Delivery. The industry is also seeing the influence of Industry 4.0 with proposals for automation, monitoring, sensorisation, robotisation, and digitalisation to improve production and distribution processes.
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
R. Zorrilla, R. Rossi, R. Wuchner, E. Onate
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Engineering, Multidisciplinary
Mohammad R. Hashemi, Pavel B. Ryzhakov, Riccardo Rossi
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Engineering, Mechanical
Narges Dialami, Michele Chiumenti, Miguel Cervera, Riccardo Rossi, Uxue Chasco, Miquel Domingo
Summary: This study analyzes the performance of parts built using fused filament fabrication (FFF) through experiments and numerical modeling, demonstrating the correlation between printing orientation and structural performance. The material properties of both the in-fill and the contour are characterized using two complementary strategies.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2021)
Article
Engineering, Multidisciplinary
Jerzy Rojek, Szymon Nosewicz, Klaus Thoeni
Summary: This study presents a 3D extension of the deformable discrete element method for studying granular material behavior, providing new possibilities in material modeling and confirming the effectiveness of the method through various tests.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Engineering, Chemical
Michal J. Marijnissen, Cezary Graczykowski, Jerzy Rojek
Summary: This paper presents a method for simulating the comminution process in high-speed rotor mills efficiently. By coupling CFD with DEM, collisional velocities and angles of particle groups passing through the machine can be obtained to determine the minimum working parameters of the machine for proper ore comminution.
MINERALS ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
R. Rossi, R. Zorrilla, R. Codina
Summary: The simulation of structural problems involving the deformations of volumetric bodies is important in engineering. While tetrahedral elements are appealing, their stiffness often leads to their avoidance in simulation workflows. The development of mixed displacement-pressure approaches has helped overcome this issue, leading to locking-free elements that can compete with hexahedral discretisations. The adoption of volumetric strain instead of pressure as a nodal value is proposed in this paper, allowing the use of standard strain-driven constitutive laws and enabling continuity across multi-material interfaces.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Marc Nunez, Inigo Lopez, Joan Baiges, Riccardo Rossi
Summary: Recent developments in numerical simulations in the aerodynamics field are focused on reducing the computational cost of solvers for initial design steps. A fully embedded approach to solve the full-potential equation provides an automatic and fast option to solve subsonic flows, simplifying the mesh generation process.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Mohammad R. Hashemi, Pavel B. Ryzhakov, Riccardo Rossi
Summary: This study focuses on the three-dimensional simulation of droplet dynamics with contact angle hysteresis, using a combination of linear molecular kinetic theory and hydrodynamic theory. The method proposed effectively addresses irregularities at the contact line by calculating the nodal contact angle and incorporating liquid mass conservation correction. The model is validated against experimental data and used to simulate liquid droplet behavior in a channel under air flow conditions.
Article
Engineering, Multidisciplinary
Mohammad R. Hashemi, Riccardo Rossi, Pavel B. Ryzhakov
Summary: In this paper, the BFECC methodology is used to improve solvers for the advection equation. The algorithm enforces a discrete maximum principle and improves accuracy by introducing controlled anti-diffusivity. The proposed methodology is assessed using benchmark tests on structured and unstructured meshes.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Construction & Building Technology
Jose Manuel Gonzalez, Javier Marcipar, Carles Estruch, Eugenio Onate
Summary: Buildair S.A. has designed, manufactured, and built an inflatable hangar, known as hangar H75, for the aeronautical industry at Jeddah Airport in the Kingdom of Saudi Arabia. H75 is the world's largest air-cell inflated structure, and it was erected in July 2019. The design of the hangar involved complex structural concepts and addressing issues such as wind load without defined standards for inflatable structures. This article presents the structural concept, specificities, and the design procedure for H75 based on numerical analysis to meet the stress and deformation requirements of the main body.
STRUCTURAL ENGINEERING INTERNATIONAL
(2023)
Article
Mathematics, Interdisciplinary Applications
Philipp Hartmann, Klaus Thoeni, Jerzy Rojek
Summary: The paper presents a generalised multi-scale PD-DEM framework to combine the advantages of the Discrete Element Method (DEM) and a continuous method for capturing both microscopic features and macroscopic behaviour. The developed framework uses meshfree discretised Peridynamics (PD) in conjunction with DEM and formulates a staggered multi-scale time integration scheme for efficient numerical treatment of both methods. Validation examples demonstrate the applicability of the framework for capturing characteristics of mixtures with rigid and deformable bodies.
COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Civil
Riccardo Tosi, Marc Nunez, Jordi Pons-Prats, Javier Principe, Riccardo Rossi
Summary: This work focuses on reducing the computation time for statistical estimators of chaotic incompressible flows by using parallelization and applying convergence criteria. The error analysis identifies initialization bias and statistical error and proposes methods to minimize them. The method is evaluated in predicting the drag force on high rise buildings and specifically applied to the CAARC building.
JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS
(2022)
Article
Environmental Sciences
Ignasi de-Pouplana, Salvador Latorre, Miguel Maso, Cristina Alonso, Eva Perez, Xavier Guinart, Isabel Hernandez, Xavier Baulies, Eugenio Onate
Summary: We propose a new 2.5D model to predict nitrogen dioxide (NO2) concentration at street level in urban areas. The model solves wind flow over the city streets and transports pollutants using a combined particle finite element method and finite element method. NO2 emissions are estimated from historical traffic data and the model has been successfully tested in air pollution episodes in Barcelona, showing promising results when compared to experimental measurements.
ATMOSPHERIC POLLUTION RESEARCH
(2023)
Article
Engineering, Multidisciplinary
Guilherme Barros, Andre Pereira, Jerzy Rojek, John Carter, Klaus Thoeni
Summary: This paper presents a novel and highly efficient approach that combines the Discrete Element Method (DEM) and the Boundary Element Method (BEM) for time-domain simulations. The proposed approach enhances computational efficiency compared to conventional coupling schemes by separately solving the governing equations of the DEM and BEM at different time instants. This approach has the potential for accurately and realistically modeling a wide range of dynamic problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
