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
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
Computer Science, Interdisciplinary Applications
M. Nazem, M. H. Moavenian
Summary: This study presents four remeshing techniques for analyzing problems with large deformations, aiming to reduce mesh distortion. The performance of these techniques is comprehensively studied using specific mesh quality metrics.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Niklas Fehn, Johannes Heinz, Wolfgang A. Wall, Martin Kronbichler
Summary: This paper presents robust discontinuous Galerkin methods for the incompressible Navier-Stokes equations on moving meshes. It introduces high-order accurate arbitrary Lagrangian-Eulerian formulations in a unified framework for various types of Navier-Stokes solvers. Numerical validations demonstrate that the proposed formulations maintain the formal order of accuracy of the Navier-Stokes solvers in both space and time.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Aerospace
Masoud Darbandi, Alireza Naderi
Summary: In this work, an implicit finite-volume-element (FVE) method is extended to efficiently simulate unsteady turbulent flows in domains with moving meshes. The advanced physical influence scheme (PIS) is introduced in the context of extended ALE formulations to handle the advective terms in the Navier-Stokes equations. The efficiency and accuracy of the extended method are carefully evaluated by simulating various turbulent flows, showing better performance compared to past numerical methods.
JOURNAL OF AEROSPACE ENGINEERING
(2021)
Article
Mathematics, Applied
Rihui Lan, Pengtao Sun
Summary: This paper develops a monolithic arbitrary Lagrangian-Eulerian (ALE)-finite element method for a type of moving interface problem with jump coefficients, based on a novel ALE mapping. The stability and error estimate analyses are conducted in the ALE frame, and numerical experiments are carried out to validate theoretical results in various cases. The developed novel ALE-FEM can potentially be extended to solve moving interface problems involving the pore fluid equation or Biot's model in the future.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Applied
Liang Pan, Kun Xu
Summary: This paper presents a high-order gas-kinetic ALE scheme for three-dimensional flows, utilizing the WENO scheme for spatial reconstruction and a two-stage fourth-order discretization for temporal evolution. The scheme carefully addresses mesh distortion and non-coplanar vertexes by selecting candidate stencils and designing topologically independent linear weights, while using bilinear interpolation to preserve the geometric conservation law in surface integrals for flux transport. The accuracy, robustness, and preservation of geometric conservation law of the scheme are evaluated through numerical examples.
JOURNAL OF SCIENTIFIC COMPUTING
(2021)
Article
Chemistry, Physical
Zdenek Horak, Petr Tichy, Karel Dvorak, Miloslav Vilimek
Summary: Rigid polyurethane (PUR) foam is widely used in construction, engineering, and healthcare, and its mechanical properties are highly dependent on temperature and strain rate. The study aimed to create a robust FE model to simulate PUR foam machining and verify the results with experimental data. The developed FE model using the Arbitrary Lagrangian-Eulerian (ALE) method showed good agreement with experimental results and can accurately simulate rigid PUR foam machining.
Article
Computer Science, Interdisciplinary Applications
Shun Liu, Xiaowei Tang, Yixiao Luan, Mahmood Ahmad
Summary: The decoupled ALE method developed in this research, based on operator splitting technique and soil water two-phase mixture theory, shows significant influence of Rayleigh damping coefficients on the deformation shape and response of underground structures; comparison with UL method verifies the applicability of the proposed ALE method for seismic response analysis of subway stations; ALE method ensures mesh quality and solution accuracy in deep soil conditions, with ground uplift and pore pressure development showing synchronous behavior with earthquake intensity.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Engineering, Civil
Karim Alkhatib, Youssef M. A. Hashash, Katerina Ziotopoulou, Brian Morales
Summary: The seismic design of water retaining structures relies on understanding the response of the retained water to shaking. This study investigated the hydrodynamic behavior of water by conducting centrifuge tests and using numerical models. The results showed that numerical models accurately captured the water response, while simplified methods had limitations in predicting certain responses.
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Beiping Duan, Buyang Li, Zongze Yang
Summary: A linearized fully discrete arbitrary Lagrangian-Eulerian finite element method is proposed to solve the two-phase Navier-Stokes flow system and preserve the energy diminishing structure of the system at the discrete level, considering kinetic, potential, and surface energy. Two benchmark problems of rising bubbles in fluids in both two and three dimensions are presented to illustrate the convergence and performance of the proposed method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Geological
Shun Liu, Xiaowei Tang, Jing Li
Summary: In this study, a decoupled ALE Finite Element Method is developed based on the soil-water two-phase mixing theory to solve the mesh distortion problems in liquefaction large deformation analysis. The experimental results demonstrate that the method can maintain the deformed mesh in a healthy state and ensure the accuracy of the numerical solutions in large deformation analysis.
SOILS AND FOUNDATIONS
(2022)
Article
Materials Science, Multidisciplinary
Dongjoon Myung, Wooram Noh, Ji-Hoon Kim, Jinhak Kong, Sung-Tae Hong, Myoung-Gyu Lee
Summary: This study investigates the deformation mechanism in the friction stir welding process through simulation-based examination. The ALE formulation shows superior accuracy in predicting temperature profiles and distributions, while the coupling of temperature histories into the strength prediction model provides a more efficient tool for the design of the FSW process. The study also reveals the mechanism of the FSW process by examining the frictional and material flow behavior of the aluminum alloy in the welded zone.
METALS AND MATERIALS INTERNATIONAL
(2021)
Article
Mathematics, Applied
Lufeng Liu, Xuan Zhou, Shaodong Guo, Yibing Chen, Haibing Zhou
Summary: This paper presents a novel topology modified mesh rezoning method for improving mesh quality and size distribution in hexahedral meshes with complex boundaries. The method is applied in an arbitrary Lagrangian-Eulerian (ALE) simulation to adapt the mesh to deformed or moving boundaries. Examples show that the proposed method preserves the geometric features of the boundaries while improving the accuracy and efficiency of the ALE simulation.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
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
Engineering, Multidisciplinary
Inocencio Castanar, Joan Baiges, Ramon Codina, Henning Venghaus
Summary: In this work, a topological optimization algorithm based on the topological derivative concept is proposed for both nearly and fully incompressible materials. By introducing a new decomposition of the Polarization tensor and applying mixed formulations and Variational Multiscale method, the accuracy of stress computation for incompressible material behavior is improved.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
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
Materials Science, Multidisciplinary
Alvaro A. Gonzalez, Marcela A. Cruchaga, Diego J. Celentano
Summary: This paper presents an experimental and numerical analysis of damage evolution in AA2011 aluminum alloy wires drawn under different scenarios. The experimental results show a bilinear damage relationship in terms of the effective plastic strain. A modification of the classical Lemaitre model is proposed to reproduce bilinear paths of damage, and its predictive capability is assessed in numerical simulations, which demonstrate good agreement with the corresponding experimental data.
INTERNATIONAL JOURNAL OF DAMAGE MECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Oriol Guasch, Arnau Pont, Joan Baiges, Ramon Codina
Summary: In this work, the finite element computation of flow noise in the presence of slowly moving rigid bodies at low Mach numbers is addressed using hybrid and direct computational aeroacoustics (CAA) strategies. The problem is tackled by extending a previous study where the acoustic pressure was split into direct and diffracted components and solved separately using finite element method (FEM). The performance of the proposed methods is demonstrated for aeroacoustics of flow past a oscillating airfoil and flow exiting a duct with a moving teeth-shaped obstacle.
COMPUTERS & FLUIDS
(2022)
Article
Computer Science, Interdisciplinary Applications
Samuel Parada, Ramon Codina, Joan Baiges
Summary: This paper addresses the compressible Navier-Stokes equations in the conservative formulation and focuses on the possibility of decoupling the computation of the problem unknowns. The proposed method, known as the fractional step method, reduces the computational cost. It utilizes a finite-element solver with a stabilization technique within the Variational Multi-Scale framework, considering orthogonal and dynamic definitions for the subscales. The discretization in space ensures stability and the use of equal interpolation for all variables. A shock-capturing operator is also added to solve problems involving shocks. The simulations demonstrate the suitability of the algorithm for various flow regimes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Chemical
I. Aguirre, A. Gonzalez, E. Castillo
Summary: This study numerically investigated the effects of vortex generators and changes in pin shape on flow characteristics in microchannel heat sinks. The results showed that the use of vortex generators significantly increased heat transfer rates, but also increased pressure drops in Newtonian fluids, while reducing pumping costs in shear-thinning fluids.
JOURNAL OF THE TAIWAN INSTITUTE OF CHEMICAL ENGINEERS
(2022)
Article
Engineering, Multidisciplinary
A. Gonzalez, R. C. Cabrales, E. Castillo
Summary: In this study, two stabilized variational-multiscale-type finite element methods were assessed for the numerical approximation of incompressible fluids. The performance of these methods was compared under different conditions, and some influencing factors were investigated. The experimental results indicate that these two methods have different ranges of applicability and effectiveness.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Inocencio Castanar, Ramon Codina, Joan Baiges
Summary: In this work, a new methodology is presented for accurately analyzing stress in finite strain solid dynamics problems, including incompressibility. The momentum equation is complemented with a constitutive law for pressure, which is derived from the deviatoric/volumetric decomposition of the strain energy function for any hyperelastic material model. The incompressible limit is automatically achieved depending on the material bulk modulus. This work utilizes mixed methods to formulate stable displacement/pressure/deviatoric stress finite elements, aiming to simultaneously handle problems involving incompressible behavior and a high degree of stress field accuracy. Numerical benchmarks show favorable results compared to the corresponding stabilized mixed displacement/pressure formulation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Laura Moreno, Inocencio Castanar, Ramon Codina, Joan Baiges, Domingo Cattoni
Summary: This paper presents a numerical simulation of the interaction between Oldroyd-B viscoelastic fluid flows and hyperelastic solids. A classical block-iterative scheme is used to solve the solid and fluid mechanics problems sequentially. The solid is approximated using Galerkin finite element method, while the flow equations are approximated using a stabilized finite element method based on the Variational MultiScale approach. The proposed scheme is extended to tackle Fluid-Structure Interaction problems with dominant elasticity, and its robustness is demonstrated through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
A. Aguirre, R. Codina, J. Baiges
Summary: This paper investigates the numerical locking problem of Reissner-Mindlin's and Timoshenko's theories when approximated using the standard Galerkin finite element method for thin structures. To address this issue, a Variational Multiscale stabilization method is proposed, including two different approaches: Algebraic Sub-Grid Scale formulation and Orthogonal Sub-Grid Scale formulation. The stability and convergence of both approaches are proved, with the Orthogonal Sub-Grid Scale approach performing better. The Orthogonal Sub-Grid Scale approach is shown to be stable and optimally convergent, regardless of the thickness of the solid, unlike the sensitive and suboptimal Algebraic Sub-Grid Scale approach.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2023)
Article
Green & Sustainable Science & Technology
Cesar Hernandez-Vielma, Danilo Estay, Marcela Cruchaga
Summary: This study uses the discrete element method (DEM) to analyze various aspects of the bit-rock interaction, including the force penetration relationship, mechanical energy transfer to the rock, and the efficiency of the mechanical energy transfer process. By simulating different bit radii and impact velocities, a power-law function is established to describe the relationship between energy and force during the interaction, and an optimal velocity dependent on the bit radius is determined. These findings have practical implications for improving excavation tools' efficiency and design.
Article
Engineering, Multidisciplinary
Zulkeefal Dar, Joan Baiges, Ramon Codina
Summary: In this paper, a reduced order model (ROM) for incompressible flows is proposed, which is based on proper orthogonal decomposition (POD) and has a finite element approximation as the full order model (FOM). The ROM is initially constructed using POD projection and a nonlinear correction is added based on available high fidelity data. This correction is built as an artificial neural network (ANN) using the snapshots as the training set. The resulting corrected ROM achieves higher accuracy than the original model.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Felipe A. Diaz, Ernesto Castillo, Roberto C. Cabrales, Nelson O. Moraga
Summary: This article introduces fractional-step schemes for solving incompressible convective time-dependent flows. The schemes are designed from a fully discrete problem and allow for optimal convergence rates. Results showed that Yosida's methods are more accurate than the projection method, and the use of Newton and Picard-Newton linearization strategies considerably reduces the number of iterations compared with the Picard scheme. The optimized second-order method is more accurate than the classical one and is comparable to the third-order method in the solution of dominant convective flows. The benefits of using high-order time integration schemes are verified.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Computer Science, Interdisciplinary Applications
Ramon Codina, Joan Baiges, Inocencio Castanar, Ignacio Martinez-Suarez, Laura Moreno, Samuel Parada
Summary: In this work, a methodology called fixed-mesh ALE is used to approximate the incompressible Navier-Stokes equations in time dependent domains. The equations are written in a moving ALE reference system but projected onto a fixed background mesh to handle the motion of the domain. Nitsche's type formulation and stabilisation techniques are applied to deal with badly cut elements and prescribe boundary conditions. The resulting flow formulation is a stabilised finite element method that can handle convection dominated flows and behaves like an implicit large eddy simulation approach.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Nicolas Espinoza-Contreras, Camilo Bayona-Roa, Ernesto Castillo, Tomas Gandara, Nelson O. Moraga
Summary: This article presents a full and reduced-order methodology based on the finite element method that allows the characterization of convective-dominant conjugate heat transfer flows. The proposed method shows great potential in solving thermally coupled flows.
APPLIED MATHEMATICAL MODELLING
(2024)
