Article
Polymer Science
Lu Chen, Tianzhengxiong Deng, Helezi Zhou, Zhigao Huang, Xiongqi Peng, Huamin Zhou
Summary: This paper presents a three-dimensional simulation method for a one-step compression-stamping process, which can conduct thermoplastic compression molding and continuous fiber reinforced thermoplastic composite stamping forming simultaneously. By using new computational models and a fluid structure interaction framework, the simulation method can accurately replicate the actual molding process.
Article
Engineering, Multidisciplinary
Yufei Guo, Yongqing Hai
Summary: The paper introduces a method of triangular mesh remeshing based on sphere packing and node insertion/deletion, which can generate high-quality meshes without depending on the quality of the original mesh. The optimized mesh does not require complicated calculations, making the method efficient and effective.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Computer Science, Interdisciplinary Applications
Lubomir Bures, Yohei Sato, Andreas Pautz
Summary: This paper presents a novel implementation of the piecewise linear interface-capturing volume-of-fluid method in axisymmetric cylindrical coordinates, with analytical solutions for forward and inverse reconstruction problems to significantly speed up computing time. The numerical implementation and coupling with a Navier-Stokes solver are detailed, with verification of correct implementation and successful solution of basic transport problems. Validation tests with measured data show good agreement between simulation results and experimental data, confirming the effectiveness of the method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
Hong Liang, Runlong Wang, Yikun Wei, Jiangrong Xu
Summary: In this paper, an accurate interface-capturing lattice Boltzmann method is proposed based on the modified Allen-Cahn equation for modeling an immiscible multiphase flow system. The proposed method is built on the relation between the signed-distance function and the order parameter, maintaining the mass-conserved characteristic. By carefully incorporating a suitable forcing term, the target equation can be correctly recovered. Simulation results for various interface-tracking problems demonstrate that the proposed model is more numerically accurate, particularly at a small interface-thickness scale, compared to existing lattice Boltzmann models for the conservative Allen-Cahn equation.
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
Computer Science, Interdisciplinary Applications
Pengtao Sun, Chen-Song Zhang, Rihui Lan, Lin Li
Summary: An advanced mixed finite element method was developed for solving a cardiovascular fluid-structure interaction problem with multiple moving interfaces. Numerical experiments were conducted to demonstrate the effectiveness and strength of this method in the cardiovascular environment with multi-interface problems.
JOURNAL OF COMPUTATIONAL SCIENCE
(2021)
Article
Engineering, Chemical
Hongwei Jia, Fengyong Lv, Liting Xu, Yanming Kang, Xin Xiao
Summary: The impact of surfactants on the motion and deformation of sinking and rising drops is investigated using numerical simulations. The arbitrary Lagrangian-Eulerian (ALE) method is employed to accurately model the surfactant transfer in two-phase flow. The numerical results are validated against benchmark tests and experimental data, showing good agreement. The findings reveal that both insoluble and soluble surfactants significantly affect the behavior of the drops, including the decrease in terminal velocity and the inhibition of inner circulation.
CHEMICAL ENGINEERING RESEARCH & DESIGN
(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
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
Chemistry, Physical
Sebastian Florez, Julien Fausty, Karen Alvarado, Brayan Murgas, Marc Bernacki
Summary: This article introduces a new method for anisotropic grain boundary motion at the mesoscopic scale, which can consider various sources of anisotropy, including grain boundaries and multiple junctions.
Article
Computer Science, Interdisciplinary Applications
Chris Chartrand, J. Blair Perot
Summary: This paper presents a new method for generating locally orthogonal polygonal meshes from a set of generator points, considering polygon areas as a constraint. The method can be used for particle-based numerical computations and has advantages in incompressible fluid flow calculations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Multidisciplinary Sciences
Dong Xu, Jianing Liu, Yunfeng Wu, Chunning Ji
Summary: We propose a simple and generalized Discretized Immersed Boundary Method (DIBM) that significantly improves efficiency by discretizing the interpolation functions and reusing a predefined universal interpolation stencil. DIBM achieves speedup ratios of 30-40 or even higher compared to conventional Immersed Boundary Method (IBM), with estimated errors below 1%.
SCIENTIFIC REPORTS
(2023)
Article
Computer Science, Interdisciplinary Applications
Nazakat Adil, Xufeng Xiao, Kun Wang, Xinlong Feng
Summary: This paper proposes an arbitrary Lagrangian Eulerian (ALE) meshfree method combined with the radial basis function-finite difference (RBF-FD) method to solve diffusion-reaction equations on evolving surfaces. The advantage of the method lies in its parametric RBF-FD approach, which ensures a uniform distribution of nodes during surface evolution. The paper also discusses the treatment of boundary conditions and presents a ghost node approach for efficient discretization.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Lei Li, Jiaqi Zhang, Zelai Xu, Y-N Young, James J. Feng, Pengtao Yue
Summary: This article proposes a finite-element method for computing flows involving a fluid-hydrogel interface. The hydrogel is treated as a poroelastic material and the interfacial deformation is coupled with the fluid and solid governing equations. Numerical tests show excellent agreement between the results obtained using this method and analytical solutions in various flow problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mechanics
Yixiang Xu, Gang Yang, Shuang Liu, Dean Hu
Summary: This paper proposes two improved discrete models for surface tension calculation to improve the simulation accuracy of the ISPH-FVM coupling method. The results show that the ISPH-FVM-V model and ISPH-FVM-L model have better accuracy and stability than the ISPH-FVM-S model in two-phase flow problems with complex interface topology changes.
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
(2023)
Article
Mathematics, Interdisciplinary Applications
Yang Liu, Kenji Takizawa, Tayfun E. Tezduyar, Takashi Kuraishi, Yufei Zhang
Summary: This article introduces a Carrier-Domain Method (CDM) for high-resolution computation of time-periodic long-wake flows, which is cost-effective and practical. The CDM utilizes a moving computational domain and high-resolution moving mesh to compute long-wake flows, providing a more cost-effective approach compared to fixed meshes. The results of the study demonstrate the effectiveness of CDM in high-resolution computation of time-periodic long-wake flows.
COMPUTATIONAL MECHANICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Takuya Terahara, Kenji Takizawa, Tayfun E. Tezduyar
Summary: We introduce a T-splines computational method and its implementation that allows for connecting structures of different parametric dimensions with continuity and smoothness. We derive the basis functions for connecting structures with 2D and 1D parametric dimensions, involving proper selection of a scale factor for the knot vector of the 1D structure. The method can be extended to achieve higher-order continuity when needed.
COMPUTATIONAL MECHANICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Takuya Terahara, Kenji Takizawa, Reha Avsar, Tayfun E. E. Tezduyar
Summary: In this article, the authors present the T-splines computational method for spacecraft parachute structural mechanics computations. The method allows for connecting structures with different parametric dimensions and ensures continuity and smoothness. The effectiveness of the method is demonstrated through computations involving both membrane and shell models of the parachute canopy fabric.
COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Tayfun E. Tezduyar, Kenji Takizawa
Summary: The DSD/SST method is a moving-mesh method used for computational analysis of flows with moving boundaries and interfaces. It combines different stabilization components, such as SUPG and PSPG methods, to enable fluid analysis. Special methods, such as ST-IGA, were also introduced. These methods allow for the solution of challenging fluid flow problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Kenji Takizawa, Yuto Otoguro, Tayfun E. Tezduyar
Summary: The stabilization parameters of certain methods involve two local length scales - advection and diffusion length scales. The advection length scale is always in the flow direction, while the diffusion length scale is typically dependent on the element geometry. However, there is a justification for making the diffusion length scale also direction-dependent to account for spatial variation of the solution. To achieve this, a direction-dependent diffusion length scale calculated from the strain-rate tensor is introduced.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2023)
Review
Mechanics
Yuri Bazilevs, Kenji Takizawa, Tayfun E. Tezduyar, Artem Korobenko, Takashi Kuraishi, Yuto Otoguro
Summary: The superior accuracy isogeometric analysis (IGA) has brought higher fidelity to computational aerodynamics in fluid and solid mechanics. The IGA achieves increased accuracy in flow solution, problem geometry representation, and representation of solid surface motion in a space-time framework. IGA is part of a set of methods that have proven effective in computational aerodynamics, including complex-geometry aerodynamics. These methods can be categorized into core methods, accuracy-boosting methods, and application range-expanding methods. We provide an overview of these methods and showcase examples of their computations.
JOURNAL OF MECHANICS
(2023)
Article
Mathematics, Applied
Tayfun E. Tezduyar, Kenji Takizawa, Yuri Bazilevs
Summary: This paper provides an overview of flows with moving boundaries and interfaces (MBI), which include fluid-particle and fluid-structure interactions, multi-fluid flows, and free-surface flows. These problems are frequently encountered in engineering analysis and design, and pose computational challenges that require core computational methods and special methods. The paper focuses on isogeometric analysis, complex geometries, incompressible-flow Space-Time Variational Multiscale (ST-VMS) and Arbitrary Lagrangian-Eulerian VMS (ALE-VMS) methods, and special methods developed in connection with these core methods.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)
Article
Engineering, Mechanical
Hironori Takeda, Yusuke Asai, Shunichi Ishida, Yasutoshi Taniguchi, Takuya Terahara, Kenji Takizawa, Yohsuke Imai
Summary: Wrinkling and creasing of an elastic membrane in a shear flow can be influenced by shear rate and membrane thickness. The deformation type can be determined by mechanical and geometrical effects of the membrane thickness, based on the geometrical consistency of the capsule surface.
JOURNAL OF FLUIDS AND STRUCTURES
(2024)
Review
Mechanics
Takuya Terahara, Takashi Kuraishi, Kenji Takizawa, Tayfun E. Tezduyar
Summary: This article provides an overview of heart valve flow analyses using boundary layer and contact representation with space-time computational methods, overcoming challenges in maintaining high-resolution flow representation near the valve surfaces, which is important for cardiac flow simulations.
JOURNAL OF MECHANICS
(2022)
Article
Mathematics, Applied
Kevin J. Painter, Thomas Hillen, Jonathan R. Potts
Summary: The use of nonlocal PDE models in describing biological aggregation and movement behavior has gained significant attention. These models capture the self-organizing and spatial sorting characteristics of cell populations and provide insights into how animals perceive and respond to their surroundings. By deriving and analyzing these models, we can better understand biological movement behavior and provide a basis for explaining sociological phenomena.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)
Article
Mathematics, Applied
Nicola Bellomo, Massimo Egidi
Summary: This paper focuses on Herbert A. Simon's visionary theory of the Artificial World and proposes a mathematical theory to study the dynamics of organizational learning, highlighting the impact of decomposition and recombination of organizational structures on evolutionary changes.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)
Article
Mathematics, Applied
Tayfun E. Tezduyar, Kenji Takizawa, Yuri Bazilevs
Summary: This paper provides an overview of flows with moving boundaries and interfaces (MBI), which include fluid-particle and fluid-structure interactions, multi-fluid flows, and free-surface flows. These problems are frequently encountered in engineering analysis and design, and pose computational challenges that require core computational methods and special methods. The paper focuses on isogeometric analysis, complex geometries, incompressible-flow Space-Time Variational Multiscale (ST-VMS) and Arbitrary Lagrangian-Eulerian VMS (ALE-VMS) methods, and special methods developed in connection with these core methods.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2024)