• 제목/요약/키워드: Spurious Energy

Search Result 64, Processing Time 0.029 seconds

An efficient finite element modeling of dynamic crack propagation using a moving node element

  • Kwon, Y.W.;Christy, C.
    • Structural Engineering and Mechanics
    • /
    • 제2권2호
    • /
    • pp.173-184
    • /
    • 1994
  • The objective of this study was to develop a simple and efficient numerical modeling technique for dynamic crack propagation using the finite element method. The study focused on the analysis of a rapidly propagation crack in an elastic body. As already known, discrete crack tip advance with the stationary node procedure results in spurious oscillation in the calculated energy terms. To reduce the spurious oscillation, a simple and efficient moving node procedure is proposed. The procedure does require neither remeshing the discretization nor distorting the original mesh. Two different central difference schemes are also evaluated and compared for dynamic crack propagation problem.

A COMPARATIVE STUDY OF LATTICE BOLTZMANN AND VOLUME OF FLUID METHOD FOR TWO-DIMENSIONAL MULTIPHASE FLOWS

  • Ryu, Seung-Yeob;Ko, Sung-Ho
    • Nuclear Engineering and Technology
    • /
    • 제44권6호
    • /
    • pp.623-638
    • /
    • 2012
  • The volume of fluid (VOF) model of FLUENT and the lattice Boltzmann method (LBM) are used to simulate two-phase flows. Both methods are validated for static and dynamic bubble test cases and then compared to experimental results. The VOF method does not reduce the spurious currents of the static droplet test and does not satisfy the Laplace law for small droplets at the acceptable level, as compared with the LBM. For single bubble flows, simulations are executed for various Eotvos numbers, Morton numbers and Reynolds numbers, and the results of both methods agree well with the experiments in the case of low Eotvos numbers. For high Eotvos numbers, the VOF results deviated from the experiments. For multiple bubbles, the bubble flow characteristics are related by the wake of the leading bubble. The coaxial and oblique coalescence of the bubbles are simulated successfully and the subsequent results are presented. In conclusion, the LBM performs better than the VOF method.

Empirical decomposition method for modeless component and its application to VIV analysis

  • Chen, Zheng-Shou;Park, Yeon-Seok;Wang, Li-ping;Kim, Wu-Joan;Sun, Meng;Li, Qiang
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제7권2호
    • /
    • pp.301-314
    • /
    • 2015
  • Aiming at accurately distinguishing modeless component and natural vibration mode terms from data series of nonlinear and non-stationary processes, such as Vortex-Induced Vibration (VIV), a new empirical mode decomposition method has been developed in this paper. The key innovation related to this technique concerns the method to decompose modeless component from non-stationary process, characterized by a predetermined 'maximum intrinsic time window' and cubic spline. The introduction of conceptual modeless component eliminates the requirement of using spurious harmonics to represent nonlinear and non-stationary signals and then makes subsequent modal identification more accurate and meaningful. It neither slacks the vibration power of natural modes nor aggrandizes spurious energy of modeless component. The scale of the maximum intrinsic time window has been well designed, avoiding energy aliasing in data processing. Finally, it has been applied to analyze data series of vortex-induced vibration processes. Taking advantage of this newly introduced empirical decomposition method and mode identification technique, the vibration analysis about vortex-induced vibration becomes more meaningful.

Behavior of Poisson Bracket Mapping Equation in Studying Excitation Energy Transfer Dynamics of Cryptophyte Phycocyanin 645 Complex

  • Lee, Weon-Gyu;Kelly, Aaron;Rhee, Young-Min
    • Bulletin of the Korean Chemical Society
    • /
    • 제33권3호
    • /
    • pp.933-940
    • /
    • 2012
  • Recently, it has been shown that quantum coherence appears in energy transfers of various photosynthetic lightharvesting complexes at from cryogenic to even room temperatures. Because the photosynthetic systems are inherently complex, these findings have subsequently interested many researchers in the field of both experiment and theory. From the theoretical part, simplified dynamics or semiclassical approaches have been widely used. In these approaches, the quantum-classical Liouville equation (QCLE) is the fundamental starting point. Toward the semiclassical scheme, approximations are needed to simplify the equations of motion of various degrees of freedom. Here, we have adopted the Poisson bracket mapping equation (PBME) as an approximate form of QCLE and applied it to find the time evolution of the excitation in a photosynthetic complex from marine algae. The benefit of using PBME is its similarity to conventional Hamiltonian dynamics. Through this, we confirmed the coherent population transfer behaviors in short time domain as previously reported with a more accurate but more time-consuming iterative linearized density matrix approach. However, we find that the site populations do not behave according to the Boltzmann law in the long time limit. We also test the effect of adding spurious high frequency vibrations to the spectral density of the bath, and find that their existence does not alter the dynamics to any significant extent as long as the associated reorganization energy is changed not too drastically. This suggests that adopting classical trajectory based ensembles in semiclassical simulations should not influence the coherence dynamics in any practical manner, even though the classical trajectories often yield spurious high frequency vibrational features in the spectral density.

변절점을 가진 비적합 평판휨 요소 (Non-conforming Plate Bending Element with Variable-nodes)

  • 최창근;이태열
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
    • /
    • pp.409-416
    • /
    • 2001
  • The present work is concerned with the development of new variable-node Mindlin plate bending elements. The proposed variable-node elements pass the patch tests, do not show spurious zero-energy modes, and do not produce shear locking phenomena. It is also shown that the elements produce reliable solutions through numerical tests for standard benchmark problems.

  • PDF

절점 병합에 의한 삼각형 평판휨 요소 (Triangular Plate-Bending Element by Combined node)

  • 최창근;강윤숙;이태열
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
    • /
    • pp.104-111
    • /
    • 2002
  • A new triangular element fur the finite element analysis of plate-bending problems is presented. For the purpose of sharing the program code of 4 node plate-bending element, two nodes of the 4-node element are combined to form a triangular element. Thus, the presented element would bring about great deal of efficiency of the computer program. The proposed variable-node elements pass the patch tests, do not show spurious zero-energy modes, and do not produce shear locking phenomena. It is also shown that the elements produce reliable solutions through numerical tests for standard benchmark problems.

  • PDF

수정된 적분차수를 이용한 평면유한요소의 개선 (An Improved Quadratic Finite Element with Modified Integration Order)

  • 김선훈;김주일;이창원;신재철
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
    • /
    • pp.42-49
    • /
    • 2001
  • In this paper the efficient finite element for stress analysis of plane stress/strain problems is proposed. This element is achieved by adding the bubble-mode function to 8-node element. The stiffness matrix of the element is calculated by using modified numerical integration order to avoid spurious zero energy mode. In order to demonstrate the performance of this element numerical tests for various verification problems are carried out. The results of numerical tests show accuracy and reliability of the element presented in this paper.

  • PDF

철근콘크리트 골조 비선형해석의 새로운 기법 (New Approach for Nonlinear Analysis of Reinforced Concrete Frames)

  • 김진근;이태규;양주경
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 1992년도 봄 학술발표회 논문집
    • /
    • pp.47-52
    • /
    • 1992
  • The entire nonlinear behavior of reinforced concrete frames up to collapse, is analyzed by the displacement control method and the combined layered and nonlayered method. All of the rigidities of section are calculated approximately by a sum over all the layers for the layered method, are used the integral values over the cross section area for the nonlayered method. The spurious sensitivity to the chosen element size in the result of analysis by finite element method for the materials with strain-softening can be overcome by modifying the strain distribution based on the concept of fracture energy at plastic hinge considering the applied axial load.

  • PDF

새로운 요소분해방법에 의한 쉘 유한요소의 개발 (FORMULATION OF SHELL RINITE ELEMENTS BASED ON A NEW METHOD OF ELEMENT DECOMPISITION)

  • 이재영
    • 전산구조공학
    • /
    • 제1권1호
    • /
    • pp.67-78
    • /
    • 1988
  • 이 연구에서는 새로운 쉘요소분해의 방법을 정립하고, 이에 의거하여 간단하고, 효율성이 높고, 보편성이 큰 쉘 유한요소를 개발하고자 하였다. 실제의 요소는 개념적인 Translational Element와 Difference Element로 분해되며, 요소의 변위함수는 이 두 성분요소의 변위함수를 결합하여 얻는다. 요소분해의 기본가정을 달리함에 따라서 세가지의 기본형요소에 도달할 수 있다. 기본형요소를 보완하여 Locking현상을 제거하고 수렴성을 높히는 방안으로서 감착적분, 내용자유도의 추가 및 Mixed Fomulation을 검토하였으며, 요소의 Spurious Mode를 제어하는 방법을 고안하였다. 수치분석을 통해서 요소의 유효성과 효율성을 검정하였다.

  • PDF

곡선보의 강선 과잉 현상과 고유치에 관한 연구 (A Study on the Stiffness Locking Phenomena and Eigen Problem in a Curved Beam)

  • 민옥기;김용우;유동규
    • 대한기계학회논문집
    • /
    • 제14권2호
    • /
    • pp.310-323
    • /
    • 1990
  • A three-noded, with three degree-of-freedom at each node, in-plane curved beam element is formulated and employed in eigen-analysis of constant curvature beam. The conventional quadratic shape functions used in a three noded C .deg. type curved beam element produce such an undesirable large stiffness that a significant error is introduced in displacements and stresses. These phenomena are called 'Stiffness Locking Phenomena', which result from spurious strain energy due to inappropriate assumptions on independent isoparametric quadratic interpolation functions. Stiffness locking phenomena can be alleviated by using modified interpolation functions which get rid of spurious constraints of conventional interpolation functions. Eigenvalues and their modes as well as displacements and stresses may be locked because they are related to stiffness. Using modified curved beam element in eigenvalue problem of cantilever and arch, the property and performance of modified curved beam element are examined by numerical experimentations. In these eigen-analyses, mass matrices are calculated by using both modified and unmodified curved beam element, are compared with theoretical solutions. These comparisons show that the performance of the modified curved beam element is better than that of the unmodified curved beam element.