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About 4,346 papers for “parallel finite element analysis”

Parallel iterative partitioned coupling procedure for multi-scale piezoelectric finite element analysis

Hiroyuki KURAMAE, Yasutomo UETSUJI · 2010

This paper presents parallel multi-scale piezoelectric finite element (FE) analyses of piezoelectric ceramics by using the scanning electron microscope (SEM) and the electron backscatter diffraction (EBSD) measured crystal morphology model based on the crystallographic homogenization method. Since coefficient matrix of FE equation for the electromechanical coupling problem is not positive definite and strongly ill-condition, a parallel iterative partitioned coupling procedure based on the block Gauss-Seidel (BGS) method with the conjugate gradient (CG) solver is applied to the multi-scale analysis. 3-dimensional micro polycrystal morphology of a barium titanate ceramic is measured by using the SEM-EBSD apparatus and introduced to the parallel multi-scale analysis. We investigate on micro FE modeling with crystal orientation distribution and convergences of both the BGS method and the CG solver.

Cited by 1

A characteristic mode analysis of parallel resonances exploiting the finite element scheme

Constantinos L. Zekios, Dimitrios G. Makris, Ronis Maximidis et al. · 2015

A procedure for calculating the characteristic modes series and parallel resonances calculation based on finite element method (FEM), in contrast to the established use of Method of Moment (MoM) is developed. A characteristic mode formulation based on electric currents yields only the series resonances of the analyzed structure. The direct calculation of the parallel resonances becomes feasible with the usage of the equivalent magnetic current characteristic modes. For this purpose the finite element method formulation we have recently established is employed. This is able to handle open-radiating structures even loaded with anisotropic media, it utilizes absorbing boundary conditions for truncating the unbounded domain, while it eliminates the DC and imaginary spurious modes. This is now employed for two alternative approaches. For the first the eigenproblem is reformulated in order to retain only the degrees of freedom of tangential magnetic field on the surface of the metallic parts or the electric currents and thus to yield the related impedance matrix [Z]. In the alternative formulation the tangential electric field over the radiating apertures or the equivalent magnetic currents are retained to yield the structures admittance matrix [Y]. In both cases the characteristic modes scheme separating [Z] and [Y] into real and imaginary parts is employed to formulate respective real eigenproblems. These are solved for the eiegencurrents with particular emphasis in the direct estimation of the series for electric and parallel resonances for magnetic eigencurrents respectively. Example for different antennas at series and parallel resonance are depicted as validations.

Cited by 2

CAPACITANCE EVALUATION ON PARALLEL-PLATE CAPACITORS BY MEANS OF FINITE ELEMENT ANALYSIS

2015

The electric field distribution produced by any disposition of insulating and conducting materials is a key aspect in electrical design, but exact values can only be obtained in simple geometries. In this work, using commercially available F.E.M. software we show the influence of the edge-effect on the electric field distribution of a two parallel-plane conducting plates system surrounded by an insulating medium taking into account the thickness of the conducting plates. We compare our results with previous published works. Finally, we obtain the relationship between capacitance and insulation characteristics, insulation gap, plate dimensions and plate thickness. Key words

Cited by 0

Parallel Finite Element Electron-Photon Transport Analysis on 2-D Unstructured Mesh

Clifton Russell Drumm · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1999

A computer code has been developed to solve the linear Boltzmann transport equation on an unstructured mesh of triangles, from a Pro/E model. An arbitriwy arrangement of distinct material regions is allowed. Energy dependence is handled by solving over an arbitrary number of discrete energy groups. Angular de- pendence is treated by Legendre-polynomial expansion of the particle cross sections and a discrete ordinates treatment of the particle fluence. The resulting linear system is solved in parallel with a preconditioned conjugate-gradients method. The solution method is unique, in that the space-angle dependence is solved si- multaneously, eliminating the need for the usual inner iterations. Electron cross sections are obtained from a Goudsrnit-Saunderson modifed version of the CEPXS code. A one-dimensional version of the code has also been develop@ for testing and development purposes.

Cited by 5Open access

A Multilevel Hierarchical Parallel Algorithm for Large-Scale Finite Element Modal Analysis

Gaoyuan Yu, Yunfeng Lou, Hang Dong et al. · Computers, materials & continua/Computers, materials & continua (Print) · 2023

The strict and high-standard requirements for the safety and stability of major engineering systems make it a tough challenge for large-scale finite element modal analysis. At the same time, realizing the systematic analysis of the entire large structure of these engineering systems is extremely meaningful in practice. This article proposes a multilevel hierarchical parallel algorithm for large-scale finite element modal analysis to reduce the parallel computational efficiency loss when using heterogeneous multicore distributed storage computers in solving large-scale finite element modal analysis. Based on two-level partitioning and four-transformation strategies, the proposed algorithm not only improves the memory access rate through the sparsely distributed storage of a large amount of data but also reduces the solution time by reducing the scale of the generalized characteristic equation (GCEs). Moreover, a multilevel hierarchical parallelization approach is introduced during the computational procedure to enable the separation of the communication of inter-nodes, intra-nodes, heterogeneous core groups (HCGs), and inside HCGs through mapping computing tasks to various hardware layers. This method can efficiently achieve load balancing at different layers and significantly improve the communication rate through hierarchical communication. Therefore, it can enhance the efficiency of parallel computing of large-scale finite element modal analysis by fully exploiting the architecture characteristics of heterogeneous multicore clusters. Finally, typical numerical experiments were used to validate the correctness and efficiency of the proposed method. Then a parallel modal analysis example of the cross-river tunnel with over ten million degrees of freedom (DOFs) was performed, and ten-thousand core processors were applied to verify the feasibility of the algorithm.

Cited by 2Open access

A Parallel Finite-Element Analysis of Dynamic Problems Using an EWS Network.

Atsuya Oishi, Katsutoshi YAMADA, Shinobu Yoshimura et al. · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 1996

Computer simulations are increasingly replacing experiments in various fields, and the required scale of the models to be analyzed has become extremely large. To solve such large-scale problems, various parallel FEM algorithms have been investigated to date, Among them, the domain decompo-sition method (DDM) is suitable for parallel computing because of small memory requirement, arbitrary decomposition of the domain, and easy implementation on parallel systems. In this study, we applied a DDM algorithm to dynamic FEM analyses, and implemented it on a network which consists of several engineering workstations. It is well demonstrated through numerical examples that the present DDM-based dynamic FEM code shows very high parallel efficiency and fault tolerance.

Cited by 4Open access

Interprocessor communication schemes in parallel finite‐discrete element analysis on PC clusters

F. Wang, Y.T. Feng, David Owen · Engineering Computations · 2003

Some issues related to effective parallel implementation of the combined finite‐discrete element approach on PC clusters are discussed. Attention is focused on the interprocessor communications. Three communication schemes suitable for different problems are presented. The worker‐to‐manager scheme is simple to implement. The neighbour‐to‐neighbour scheme is sophisticated with regard to programming, and requires extra memory space, but has good overall performance for larger problems. The mixed worker‐manager scheme can balance the difficulty in programming and the overall communication performance. The effects of subdomain buffer zone on communications are also demonstrated by numerical examples.

Cited by 1

A hierarchical load balancing parallel computing approach for finite element structural analysis

Xinqiang Miao, Xianlong Jin, Junhong Ding · Chinese Science Bulletin (Chinese Version) · 2017

Multi-core clusters have become primary tools for high performance computing due to their great computing power and cost-to-performance effectiveness in nowadays. However, it introduces new challenges for the design of efficient parallel algorithms because of the different storage mechanisms and non-uniform communication latencies on these machines. The traditional domain decomposition methods use the direct partition method to achieve load balancing, which directly divides the structure into a number of subdomains with equal according to the number of processing cores involved in parallel computing. As the number of processing cores in a single node of multi-core clusters increases exponentially, the number of subdomains will increase dramatically as well. A substantial increase in the number of subdomains leads to the rapid expansion of the size and the condition number of interface equations, thereby reducing the numerical convergence of the system. In addition, it leads to a considerable increase in the number of processes involved in parallel computing, thereby increasing contention for the limited network ports and bandwidth. The decrease of the numerical convergence and the increase of network communication overheads seriously affect the solution efficiency of interface equations, and greatly reduce the overall parallel efficiency of the domain decomposition method. In order to make full use of the computing power of multi-core clusters to improve the parallel efficiency of large-scale finite element structural analysis, a hierarchical load balancing approach is proposed in the paper. The proposed approach is based on the full mining of computational tasks. In order to adapt to the hardware topology architecture of multi-core clusters, the computational tasks of finite element structural analysis are divided into three layers: inter-node parallelism, inter-chip parallelism and inter-core parallelism. The coarse grain parallel computing method is utilized in inter-node parallelism and inter-chip parallelism, and the fine grain parallel computing method is used in inter-core parallelism. Through mapping computing tasks to different hardware layers of multi-core clusters, the proposed method not only efficiently achieves the load balancing at different layers, but also greatly reduces the communication overheads of the system. Furthermore, it considerably reduces the number of subdomains and significantly improves the numerical convergence of the interface equations. In order to verify the effectiveness of the algorithms, two numerical experiments about finite element structural linear static analysis for large-scale parallel computing were conducted on “Tianhe 2” supercomputer. For each model, both the traditional domain decomposition method and the proposed hierarchical load balancing approach were employed for numerical simulation utilizing 50, 100, 150, and 200 nodes, respectively. Test results show that the proposed method could obtain higher speedup and parallel efficiency compared with the conventional domain decomposition method. The proposed approach can be widely used for solving many kinds of structural analysis problems including linear static analysis, nonlinear static analysis and nonlinear dynamic analysis and so on. In this paper, the authors’ current research only focuses on the linear static analysis. For the nonlinear static or dynamic analysis and other kinds of structural analysis, the proposed method can be used as a sub-procedure because the calculations are still dominated by solutions of the same sort of equations.

Cited by 2Open access

A Parallel Multigrid Method for the Finite Element Analysis of Mechanical Contact

Jason Hales, I. D. Parsons · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 2002

A geometrical multigrid method for solving the linearized matrix equations arising from node-on-face three-dimensional finite element contact is described. The development of an efficient implementation of this combination that minimizes both the memory requirements and the computational cost requires careful construction and storage of the portion of the coarse mesh stiffness matrices that are associated with the contact stiffness on the fine mesh. The multigrid contact algorithm is parallelized in a manner suitable for distributed memory architectures: results are presented that demonstrates the scheme's scalability. The solution of a large contact problem derived from an analysis of the factory joints present in the Space Shuttle reusable solid rocket motor demonstrates the usefulness of the general approach.

Cited by 0Open access

Recursive spectral algorithms for automatic domain partitioning in parallel finite element analysis

Shang‐Hsien Hsieh, Gláucio H. Paulino, John F. Abel · Computer Methods in Applied Mechanics and Engineering · 1995

Recently, several domain partitioning algorithms have been proposed to effect load-balancing among processors in parallel finite element analysis. The recursive spectral bisection (RSB) algorithm [1] has been shown to be effective. However, the bisection nature of the RSB results in partitions of an integer power of two, which is too restrictive for computing environments consisting of an arbitrary number of processors. This paper presents two recursive spectral partitioning algorithms, both of which generalize the RSB algorithm for an arbitrary number of partitions. These algorithms are based on a graph partitioning approach which includes spectral techniques and graph representation of finite element meshes. The ‘algebraic connectivity vector’ is introduced as a parameter to assess the quality of the partitioning results. Both node-based and element-based partitioning strategies are discussed. The spectral algorithms are also evaluated and compared for coarse-grained partitioning using different types of structures modelled by 1-D, 2-D and 3-D finite elements.

Cited by 41Open access

Optimal Discretization-Based Load Balancing for Parallel Adaptive Finite-Element Electromagnetic Analysis

Dennis D. Giannacopoulos · IEEE Transactions on Magnetics · 2004

The potential benefits of employing optimal discretization-based refinement criteria to achieve load balancing in parallel adaptive finite-element electromagnetic analysis are considered. Specifically, the ability of this class of adaption refinement criteria to resolve an effective domain decomposition based on initial discretizations with only relatively few degrees of freedom are examined. The new load-balancing method is evaluated with adaptively refined finite-element solutions for benchmark systems using practical adaption models.

Cited by 4

Parallel finite element electromagnetic field analysis using numerical human models in HPC

Amane Takei · 2016

This paper describes large-scale full-wave analyses of electromagnetic fields using numerical human body models. Recently, medical equipment using electromagnetic fields including hyperthermia is spreading. During treatment, it is effective to focus the electromagnetic field onto the lesions inside the human body. The purpose of this research is to accurately calculate the electromagnetic field inside the human body using a numerical electromagnetic analysis method. The numerical human body model database has been released free-of-charge for researchers by NICT. This database is constructed using voxels that have 2mm edge length. The numerical human model is multi-material including skin, blood vessels, bones, internal organs etc.. The adult male model is named “TARO”, and has 44 million voxels. Over 200 million tetrahedral elements are generated from the voxel data. In general, numerical analysis using ordinary finite element codes is difficult to apply to such a numerical human model because of the very large size of the mesh. However, by using parallelization techniques based on the iterative domain decomposition method (IDDM) we were able to perform large-scale finite element full-wave analyses for electromagnetic fields. In this paper, we apply our parallel finite element code based on IDDM to the calculation of full-wave electromagnetic fields. We report analyses of the numerical human body models with more than 200 million complex DOF by using a High Performance Computing (HPC) environment. The electromagnetic field in the human body is analyzed by numerical human models. All computations are performed using 320-cores (20-nodes) of the Fujitsu FX100 supercomputer in Nagoya University. We analyzed frequencies of 1 (MHz), 8 (MHz), 70 (MHz) and 300 (MHz) using the full-wave electromagnetic field analysis based on the IDDM.

Cited by 0

PARALLEL PERFORMANCE ANALYSIS OF THE FINITE ELEMENT - SPHERICAL HARMONICS RADIATION TRANSPORT METHOD

Aliva Pattnaik · UPT. Syiah Kuala University Library (Syiah Kuala University) · 2006

In this thesis, the parallel performance of the finite element-spherical harmonics (FE-PN) method implemented in the general-purpose radiation transport code EVENT is studied both analytically and empirically. EVENT solves the coupled set of space-angle discretized FE-PN equations using a parallel block-Jacobi domain decomposition method. As part of the analytical study, the thesis presents complexity results for EVENT when solving for a 3D criticality benchmark radiation transport problem in parallel. The empirical analysis is concerned with the impact of the main algorithmic factors affecting performance. Firstly, EVENT supports two solution strategies, namely MOD (Moments Over Domains) and DOM (Domains Over Moments), to solve the transport equation in parallel. The two strategies differ in the way they solve the multi-level space-angle coupled systems of equations. The thesis presents empirical evidence of which of the two solution strategies is more efficient. Secondly, different preconditioners are used in the Preconditioned Conjugate Gradient (PCG) inside EVENT. Performance of EVENT is compared when using three preconditioners, namely diagonal, SSOR(Symmetric Successive Over-Relaxation) and ILU. The other two factors, angular and spatial resolutions of the problem affect both the performance and precision of EVENT. The thesis presents comparative results on EVENTs performance as these two resolutions are increased.\nFrom the empirical performance study of EVENT, a bottleneck is identified that limits the improvement in performance as number of processors used by EVENT is increased. In some experiments, it is observed that uneven assignment of computational load among processors causes a significant portion of the total time being spent in synchronization among processors. The thesis presents two indicators that identify when such inefficiency occur; and in such a case, a load rebalancing strategy is applied that computes a new partition of the problem so that each partition corresponds to equal amount of computational load.

Cited by 0Open access