Article
Engineering, Multidisciplinary
Junfeng Wang, Xiaodan Ren
Summary: In this paper, an efficient and inherently consistent integration method called projection integration (PI) is proposed for Galerkin meshfree methods with arbitrary order. Different from traditional numerical integration methods, PI defines a projection operator based on a weighted norm to systematically approximate meshfree shape functions in an appropriate and consistent function space. By utilizing the projected shape functions as a basis in a substitute function space, the Galerkin weak form can be approximated. The proposed method is demonstrated to be efficient and exhibit superior convergence performance through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Interdisciplinary Applications
Huy Anh Nguyen, Satoyuki Tanaka, Tinh Quoc Bui
Summary: In this paper, a combined method of enriched reproducing kernel particle method and stabilized conforming nodal integration (SCNI) is proposed for material interface problems. SCNI is used for domain integration to eliminate zero-energy modes in direct nodal integration. The proposed method enriches the approximation with special functions based on the level set function to model weak discontinuities at material interfaces. Numerical examples in two-dimensional linear elasticity demonstrate that the method significantly reduces strain oscillations and achieves optimal convergence rates.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Stephen P. Smith, Gary H. Menary, James Nixon, Brian G. Falzon
Summary: Meshfree methods were introduced to overcome issues faced by mesh-based methods, specifically related to mesh-entanglement in simulating large deformation phenomena. This paper presents a nodally integration explicit element-free Galerkin method for simulating the stretch blow moulding process, showcasing its accuracy and computational efficiency through validation and experimental characterisation.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Junchao Wu, Dongdong Wang
Summary: This study focuses on the accuracy analysis of Galerkin meshfree methods, revealing the significant influence of numerical integration on error estimates. It is found that the integration difficulty of meshfree methods leads to the loss of the Galerkin orthogonality condition, affecting the establishment of error bounds.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Yifei Zhang, Nana Pu, Wentao Ma
Summary: This study proposes an efficient and accurate linear-gradient smoothing integration (LGSI) scheme for domain integration of meshfree Galerkin methods with quadratic base. The LGSI scheme is low-cost as it transforms complex domain integration into boundary integration, and is exact with respect to the quadratic meshfree Galerkin method, as demonstrated through numerical examples.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Sreehari Peddavarapu
Summary: This paper presents a new two-level local projection meshfree stabilization (LPMS) method for convection diffusion problems suitable to a linear order approximation. LPMS method achieves a stable solution by utilizing fine scales defined on the subcells of Voronoi cells of SCNI. By combining LPMS with SCNI, the need for derivatives in computational process is eliminated. The present LPMS method is found to be in good agreement with the classical numerical methods for problems with thin layers.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Computer Science, Interdisciplinary Applications
Mohammad Mahdi Malakiyeh, Saeed Shojaee, Saleh Hamzehei-Javaran, Klaus-Jurgen Bathe
Summary: In this paper, the explicit /31/32-Bathe method is introduced for solving dynamic problems, especially wave propagations. The method uses two sub-steps per time step and can be used as a first-order and a second-order method, with the ability to suppress high spurious frequency response. By applying correction terms using the generalized trapezoidal rule with control parameters /31 and /32, the final displacements and velocities are calculated in each sub-step, making the method simple. The stability, accuracy, and numerical dispersion are considered, and recommendations on the parameter values /31 and /32 are provided for practical use. The effectiveness of the proposed method in wave propagation analyses is demonstrated through the solutions of four problems and comparison with other methods.
COMPUTERS & STRUCTURES
(2023)
Article
Mathematics, Applied
Rujeko Chinomona, Daniel R. Reynolds
Summary: This work introduces a new class of high-order accurate methods for multirate time integration of systems of ordinary differential equations, supporting mixed implicit-explicit treatment. By utilizing an infinitesimal formulation for the fast time scale, the methods provide flexibility for the slow time scale. Order conditions on the IMEX-MRI-GARK coefficients are derived to ensure both third and fourth order accuracy for the overall multirate method.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Physics, Fluids & Plasmas
W. van Dijk
Summary: Explicit numerical solutions of the time-dependent Schrodinger equation are more efficient than implicit approaches, especially for higher-dimensional systems. This paper introduces a generalization of an explicit three-level method that obtains solutions with specified errors. Sample calculations demonstrate the algorithm's efficacy and stability.
Article
Computer Science, Interdisciplinary Applications
Stefan Bilbao, Michele Ducceschi, Fabiana Zama
Summary: This article investigates simulation algorithms that conserve numerical energy in Hamiltonian systems. By imposing restrictions on the potential energy, an explicit method that exactly conserves numerical energy is presented, along with its unconditional stability and comparable computational cost to simple integration methods. A variant method with conditional stability is also proposed, and various numerical results are provided.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Stein K. F. Stoter, Thi-Hoa Nguyen, Rene R. Hiemstra, Dominik Schillinger
Summary: In this paper, a variational consistent technique is proposed for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. The method involves adding a symmetric positive-definite term to the consistent mass matrix, which effectively lowers the eigenfrequencies. Numerical experiments demonstrate that the method does not adversely affect spatial accuracy and convergence rates. Additionally, a linear approximation is introduced to extend the method to nonlinear problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Mehran Vakilha, Manuel Hopp-Hirschler, Mostafa Safdari Shadloo
Summary: This paper presents a new Lagrangian meshless method (EISPH) for solving multiphase flow problems. By approximating the pressure change between consecutive time-steps, this method can effectively solve multiphase flow problems with small time steps, and its accuracy is validated through comparisons with analytical solutions or existing literature.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Engineering, Multidisciplinary
Delfim Soares Jr
Summary: This paper proposes a novel hybrid explicit/implicit time marching procedure for wave propagation analyses. The method considers local self-adjustable time integration parameters and establishes explicit/implicit subdomains at an element level, incorporating automated computations and extending stability limits.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
J. M. Rodriguez, S. Larsson, J. M. Carbonell, P. Jonsen
Summary: The explicit/implicit particle finite element method (PFEM) has been developed for 2D modeling of metal cutting processes to study the efficiency of time integration schemes. Improved remeshing procedures and detection of rigid tool contact enhance the accuracy and efficiency of simulations. The results show that selecting the right time integration scheme can significantly reduce computing time.
COMPUTATIONAL PARTICLE MECHANICS
(2022)
Article
Mathematics
Loic Beuken, Olivier Cheffert, Aleksandra Tutueva, Denis Butusov, Vincent Legat
Summary: This paper introduces new semi-explicit and semi-implicit predictor-corrector methods based on backward differentiation formula and Adams-Bashforth methods. The numerical stability and performance of these methods are thoroughly studied, and the results show the potential superiority of these methods in solving large-scale ODE systems.
Article
Mathematics, Interdisciplinary Applications
Georgios Moutsanidis, Jacob J. Koester, Michael R. Tupek, Jiun-Shyan Chen, Yuri Bazilevs
COMPUTATIONAL PARTICLE MECHANICS
(2020)
Article
Mathematics, Interdisciplinary Applications
Tsung-Hui Huang, Jiun-Shyan Chen, Haoyan Wei, Michael J. Roth, Jesse A. Sherburn, Joseph E. Bishop, Michael R. Tupek, Eliot H. Fang
COMPUTATIONAL PARTICLE MECHANICS
(2020)
Article
Mathematics, Interdisciplinary Applications
Tsung-Hui Huang, Haoyan Wei, Jiun-Shyan Chen, Michael C. Hillman
COMPUTATIONAL PARTICLE MECHANICS
(2020)
Editorial Material
Mathematics, Interdisciplinary Applications
J. S. Chen, Sheng-Wei Chi, Mike Hillman
COMPUTATIONAL PARTICLE MECHANICS
(2020)
Review
Biophysics
Robert J. Asaro, Qiang Zhu
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2020)
Article
Engineering, Biomedical
Yantao Zhang, Jiun-Shyan Chen, Qizhi He, Xiaolong He, Ramya R. Basava, John Hodgson, Usha Sinha, Shantanu Sinha
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING
(2020)
Article
Computer Science, Interdisciplinary Applications
Andreas Neofytou, Renato Picelli, Tsung-Hui Huang, Jiun-Shyan Chen, H. Alicia Kim
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2020)
Article
Biophysics
Robert J. Asaro, Qiang Zhu, Ian C. MacDonald
Summary: The text discusses the process of vesiculation in cells, particularly the self-protection mechanism of vesiculation in red blood cells, as well as the mechanisms and factors that may contribute to vesicle formation within microvasculature.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2021)
Review
Physiology
Usha Sinha, Vadim Malis, Jiun-Shyan Chen, Robert Csapo, Ryuta Kinugasa, Marco Vincenzo Narici, Shantanu Sinha
FRONTIERS IN PHYSIOLOGY
(2020)
Article
Biochemistry & Molecular Biology
Vinay P. Jani, Robert Asaro, Bryan Oronsky, Pedro Cabrales
Summary: The study found that red blood cells treated with RRx-001 have stronger adhesion in tumor microvasculature, which may promote tumor aggregation and reduce tumor weight. After interaction with local inflammatory cytokines, RRx-001 treated red blood cells show increased adhesive potential to endothelial cells.
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES
(2021)
Article
Biophysics
Ming Dao, Ian MacDonald, R. J. Asaro
Summary: This study discusses the flow patterns of red blood cells through the spleen in humans, rats, and dogs, emphasizing the importance of sinus slits and mentioning the significance of IES caliber. It describes a model demonstrating how the supporting forces exerted on the sinus by the reticular meshwork of the red pulp and the asymmetrical contractility of stress fibers within endothelial cells affect vital behavior within the sinus.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2021)
Article
Medicine, General & Internal
Robert J. Asaro, Pedro Cabrales
Summary: Red blood cells play a crucial role in the progression of various diseases, possibly through transporting inflammatory species via red cell-derived vesicles. A proposed unified paradigm explains the mechanisms behind inducing RBC vesiculation during vascular flow.
Editorial Material
Hematology
Robert J. Asaro, Pedro Cabrales
Proceedings Paper
Construction & Building Technology
J. S. Chen, Jonghyuk Baek, Tsung-Hui Huang, Michael C. Hillman
STRUCTURES CONGRESS 2020
(2020)
Proceedings Paper
Engineering, Industrial
Andreas Neofytou, Renato Picelli, Jiun-Shyan Chen, Hyunsun Alicia Kim
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2019, VOL 2B
(2020)