• 제목/요약/키워드: Implicit-explicit methods

검색결과 101건 처리시간 0.028초

Integration of Stress-Strain Rate Equations of CASM

  • Koh, Tae-Hoon
    • International Journal of Railway
    • /
    • 제3권4호
    • /
    • pp.117-122
    • /
    • 2010
  • In transportation geotechnical engineering, stress-strain behavior of earth structures has been analyzed by numerical simulations with the implemented plasticity constitutive model. It is a fact that many advanced plasticity constitutive models on predicting the mechanical behavior of soils have been developed as well as experimental research works for geotechnical applications in the past decades. In this study, recently developed, a unified constitutive model for both clay and sand, which is referred to as CASM (clay and sand model), was compared with a classical constitutive model, Cam-Clay model. Moreover, integration methods of stress-strain rate equations using CASM were presented for simulation of undrained and drained triaxial compression tests. As a conclusion, it was observed that semi-implicit integration method has more improved accuracy of capturing strain rate response to applied stress than explicit integration by the multiple correction and iteration.

  • PDF

박판 성형에서의 스프링백 해석과 산업적 응용 (Springback Analyses in Sheet Metal Stamping Processes)

  • 양동열;이상욱;윤정환;유동진
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 1998년도 제2회 박판성형심포지엄 논문집 박판성형기술의 현재와 미래
    • /
    • pp.1-8
    • /
    • 1998
  • The explicit and implicit time integration methods are applied effectively to analyze sheet metal stamping processes, which include the forming stage and the springback stage consecutively. The explicit time integration method has better merits in the forming stage including highly complicated three-dimensional contact conditions. By contrary, the implicit time integration method is better for analyzing springback since the complicated contact conditions are removd and the computing time to get the final static state is short. In this work, brief descriptions of the formulation and the factor study for springback simulations are presented. Further, the simulated results for the S-rail and the roof pannel stamping processes are shown and discussed.

Multiscale Implicit Functions for Unified Data Representation

  • Yun, Seong-Min;Park, Sang-Hun
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제5권12호
    • /
    • pp.2374-2391
    • /
    • 2011
  • A variety of reconstruction methods has been developed to convert a set of scattered points generated from real models into explicit forms, such as polygonal meshes, parametric or implicit surfaces. In this paper, we present a method to construct multi-scale implicit surfaces from scattered points using multiscale kernels based on kernel and multi-resolution analysis theories. Our approach differs from other methods in that multi-scale reconstruction can be done without additional manipulation on input data, calculated functions support level of detail representation, and it can be naturally expanded for n-dimensional data. The method also works well with point-sets that are noisy or not uniformly distributed. We show features and performances of the proposed method via experimental results for various data sets.

Sensitivity analysis of numerical schemes in natural cooling flows for low power research reactors

  • Karami, Imaneh;Aghaie, Mahdi
    • Advances in Energy Research
    • /
    • 제5권3호
    • /
    • pp.255-275
    • /
    • 2017
  • The advantages of using natural circulation (NC) as a cooling system, has prompted the worldwide development to investigate this phenomenon more than before. The interesting application of the NC in low power experimental facilities and research reactors, highlights the obligation of study in these laminar flows. The inherent oscillations of NC between hot source and cold sink in low Grashof numbers necessitates stability analysis of cooling flow with experimental or numerical schemes. For this type of analysis, numerical methods could be implemented to desired mass, momentum and energy equations as an efficient instrument for predicting the behavior of the flow field. In this work, using the explicit, implicit and Crank-Nicolson methods, the fluid flow parameters in a natural circulation experimental test loop are obtained and the sensitivity of solving approaches are discussed. In this way, at first, the steady state and transient results from explicit are obtained and compared with experimental data. The implicit and crank-Nicolson scheme is investigated in next steps and in subsequent this research is focused on the numerical aspects of instability prediction for these schemes. In the following, the assessment of the flow behavior with coarse and fine mesh sizes and time-steps has been reported and the numerical schemes convergence are compared. For more detail research, the natural circulation of fluid was modeled by ANSYS-CFX software and results for the experimental loop are shown. Finally, the stability map for rectangular closed loop was obtained with employing the Nyquist criterion.

익스플리싯 피드백 환경에서 추천 시스템을 위한 최신 지식증류기법들에 대한 성능 및 정확도 평가 (State-of-the-Art Knowledge Distillation for Recommender Systems in Explicit Feedback Settings: Methods and Evaluation)

  • 배홍균;김지연;김상욱
    • 스마트미디어저널
    • /
    • 제12권9호
    • /
    • pp.89-94
    • /
    • 2023
  • 추천 시스템은 사용자가 아이템에 남긴 익스플리싯 또는 임플리싯 피드백을 바탕으로 각 사용자가 선호할 법한 아이템들을 추천하는 기술이다. 최근, 추천 시스템에 사용되는 딥 러닝 기반 모델의 사이즈가 커짐에 따라, 높은 추천 정확도를 유지하며 추론 시간은 줄이기 위한 목적의 연구가 활발히 진행되고 있다. 대표적으로 지식증류기법을 이용한 추천 시스템에 관한 연구가 있으며, 지식증류기법이란 큰 사이즈의 모델(즉, 교사)로부터 추출된 지식을 통해 작은 사이즈의 모델(즉, 학생)을 학습시킨 뒤, 학습이 끝난 작은 사이즈의 모델을 추천 모델로서 이용하는 방법이다. 추천 시스템을 위한 지식증류기법들에 관한 기존의 연구들은 주로 임플리싯 피드백 환경만을 대상으로 수행되어 왔었으며, 본 논문에서 우리는 이들을 익스플리싯 피드백 환경에 적용할 경우의 성능 및 정확도를 관찰하고자 한다. 실험을 위해 우리는 총 5개의 최신 지식증류기법들과 3개의 실세계 데이터셋을 사용하였다.

An explicit time-integration method for damped structural systems

  • Pezeshk, S.;Camp, C.V.
    • Structural Engineering and Mechanics
    • /
    • 제3권2호
    • /
    • pp.145-162
    • /
    • 1995
  • A damped trapezoidal rule method for numerical time-integration is presented, and its application in analyses of dynamic response of damped structures is discussed. It is shown that the damped trapezoidal rule method has features that make it an attractive approach for applications in dynamic analyses of structures. Accuracy and stability analyses are developed for the damped single-degree-of-freedom systems. Error analyses are also performed for the Newmark beta method and compared with the damped trapezoidal rule method as a basis for discussion of the relative merits of the proposed method. The procedure is fully explicit and easy to implement. However, since the method is an explicit method, it is conditionally stable. The methodology is applied to several example problems to illustrate its strengths, limitations and inherent simplicity.

AN ENERGY-STABLE AND SECOND-ORDER ACCURATE METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • KIM, JEONGHO;JUNG, JINWOOK;PARK, YESOM;MIN, CHOHONG;LEE, BYUNGJOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제23권2호
    • /
    • pp.93-114
    • /
    • 2019
  • In this article, we introduce a finite difference method for solving the Navier-Stokes equations in rectangular domains. The method is proved to be energy stable and shown to be second-order accurate in several benchmark problems. Due to the guaranteed stability and the second order accuracy, the method can be a reliable tool in real-time simulations and physics-based animations with very dynamic fluid motion. We first discuss a simple convection equation, on which many standard explicit methods fail to be energy stable. Our method is an implicit Runge-Kutta method that preserves the energy for inviscid fluid and does not increase the energy for viscous fluid. Integration-by-parts in space is essential to achieve the energy stability, and we could achieve the integration-by-parts in discrete level by using the Marker-And-Cell configuration and central finite differences. The method, which is implicit and second-order accurate, extends our previous method [1] that was explicit and first-order accurate. It satisfies the energy stability and assumes rectangular domains. We acknowledge that the assumption on domains is restrictive, but the method is one of the few methods that are fully stable and second-order accurate.

A LOCAL-GLOBAL STEPSIZE CONTROL FOR MULTISTEP METHODS APPLIED TO SEMI-EXPLICIT INDEX 1 DIFFERENTIAL-ALGEBRAIC EUATIONS

  • Kulikov, G.Yu;Shindin, S.K.
    • Journal of applied mathematics & informatics
    • /
    • 제6권3호
    • /
    • pp.697-726
    • /
    • 1999
  • In this paper we develop a now procedure to control stepsize for linear multistep methods applied to semi-explicit index 1 differential-algebraic equations. in contrast to the standard approach the error control mechanism presented here is based on monitoring and contolling both the local and global errors of multistep formulas. As a result such methods with the local-global stepsize control solve differential-algebraic equation with any prescribed accuracy (up to round-off errors). For implicit multistep methods we give the minimum number of both full and modified Newton iterations allowing the iterative approxima-tions to be correctly used in the procedure of the local-global stepsize control. We also discuss validity of simple iterations for high accuracy solving differential-algebraic equations. Numerical tests support the the-oretical results of the paper.

Numerical dissipation for explicit, unconditionally stable time integration methods

  • Chang, Shuenn-Yih
    • Earthquakes and Structures
    • /
    • 제7권2호
    • /
    • pp.159-178
    • /
    • 2014
  • Although the family methods with unconditional stability and numerical dissipation have been developed for structural dynamics they all are implicit methods and thus an iterative procedure is generally involved for each time step. In this work, a new family method is proposed. It involves no nonlinear iterations in addition to unconditional stability and favorable numerical dissipation, which can be continuously controlled. In particular, it can have a zero damping ratio. The most important improvement of this family method is that it involves no nonlinear iterations for each time step and thus it can save many computationally efforts when compared to the currently available dissipative implicit integration methods.

Cerebrocortical Regions Associated with Implicit and Explicit Memory Retrieval Under the Conceptual Processing: BOLD Functional MR Imaging

  • 김형중;강형근;서정진;정광우;은성종;박진균;윤웅;박태진
    • 대한자기공명의과학회:학술대회논문집
    • /
    • 대한자기공명의과학회 2002년도 제7차 학술대회 초록집
    • /
    • pp.111-111
    • /
    • 2002
  • Purpose: This study is to compare the distinct brain activation between implicit and explicit memory retrieval tasks using a non-invasive blood-oxygenation-level-dependent (BOLD) functional magnetic resonance imaging(fMRI). Materials & Methods: We studied seven right-handed, healthy volunteers aged 21-25 years(mean;22 years) were scanned under a 1.5T Signa Horizon Echospeed MR imager(GE Medical Systems, Milwaukee, U.S.A.). During the implicit and explicit memory retrieval tasks of previously teamed words under the conceptual processing, we acquired fMRI data using gradient-echo EPI with 50ms TE, 3000ms TR, 26cm${\times}$26cm field-of-view, 128${\times}$128 matrix, and ten slices(6mm slice thickness, 1 mm gap) parallel to the AC-PC(anterior commissure and posterior commissure) line. By using the program of statistical parametric mapping(SPM99), functional activation maps were reconstructed and quantified.

  • PDF