• Title/Summary/Keyword: Implicit numerical method

Search Result 423, Processing Time 0.029 seconds

A Three-Dimensional Locally One-Dimensional Multiresolution Time-Domain Method Using Daubechies Scaling Function

  • Ryu, Jae-Jong;Lee, Wu-Seong;Kim, Ha-Chul;Choi, Hyun-Chul
    • Journal of electromagnetic engineering and science
    • /
    • v.9 no.4
    • /
    • pp.211-217
    • /
    • 2009
  • A three-dimensional locally one-dimensional multiresolution time-domain(LOD-MRTD) method is introduced and unconditional stability is proved analytically. The updating formulations have fewer terms on the right-hand side than those of an alternating direction implicit MRTD(ADI-MRTD). The validation of the method is presented using the resonance frequency problem of an empty cavity. The reduction of the numerical dispersion technique is also combined with the proposed method. The numerical examples show that the combined method can improve the accuracy significantly.

Implicit Numerical Integration of Two-surface Plasticity Model for Coarse-grained Soils (Implicit 수치적분 방법을 이용한 조립토에 관한 구성방정식의 수행)

  • Choi, Chang-Ho
    • Journal of the Korean Geotechnical Society
    • /
    • v.22 no.9
    • /
    • pp.45-59
    • /
    • 2006
  • The successful performance of any numerical geotechnical simulation depends on the accuracy and efficiency of the numerical implementation of constitutive model used to simulate the stress-strain (constitutive) response of the soil. The corner stone of the numerical implementation of constitutive models is the numerical integration of the incremental form of soil-plasticity constitutive equations over a discrete sequence of time steps. In this paper a well known two-surface soil plasticity model is implemented using a generalized implicit return mapping algorithm to arbitrary convex yield surfaces referred to as the Closest-Point-Projection method (CPPM). The two-surface model describes the nonlinear behavior of coarse-grained materials by incorporating a bounding surface concept together with isotropic and kinematic hardening as well as fabric formulation to account for the effect of fabric formation on the unloading response. In the course of investigating the performance of the CPPM integration method, it is proven that the algorithm is an accurate, robust, and efficient integration technique useful in finite element contexts. It is also shown that the algorithm produces a consistent tangent operator $\frac{d\sigma}{d\varepsilon}$ during the iterative process with quadratic convergence rate of the global iteration process.

HYDRODYNAMIC SOLVER FOR A TRANSIENT, TWO-FLUID, THREE-FIELD MODEL ON UNSTRUCTURED GRIDS (비정렬격자계에서 과도 이상유동해석을 위한 수치해법)

  • Jeong, J.J.;Yoon, H.Y.;Kim, J.;Park, I.K.;Cho, H.K.
    • Journal of computational fluids engineering
    • /
    • v.12 no.4
    • /
    • pp.44-53
    • /
    • 2007
  • A three-dimensional (3D) unstructured hydrodynamic solver for transient two-phase flows has been developed for a 3D component of a nuclear system code and a component-scale analysis tool. A two-fluid three-field model is used for the two-phase flows. The three fields represent a continuous liquid, an entrained liquid, and a vapour field. An unstructured grid is adopted for realistic simulations of the flows in a complicated geometry. The semi-implicit ICE (Implicit Continuous-fluid Eulerian) numerical scheme has been applied to the unstructured non-staggered grid. This paper presents the numerical method and the preliminary results of the calculations. The results show that the modified numerical scheme is robust and predicts the phase change and the flow transitions due to boiling and flashing very well.

Nonlinear dynamic analysis by Dynamic Relaxation method

  • Rezaiee-Pajand, M.;Alamatian, J.
    • Structural Engineering and Mechanics
    • /
    • v.28 no.5
    • /
    • pp.549-570
    • /
    • 2008
  • Numerical integration is an efficient approach for nonlinear dynamic analysis. In this paper, general category of the implicit integration errors will be discussed. In order to decrease the errors, Dynamic Relaxation method with modified time step (MFT) will be used. This procedure leads to an alternative algorithm which is very general and can be utilized with any implicit integration scheme. For numerical verification of the proposed technique, some single and multi degrees of freedom nonlinear dynamic systems will be analyzed. Moreover, results are compared with both exact and other available solutions. Suitable accuracy, high efficiency, simplicity, vector operations and automatic procedures are the main merits of the new algorithm in solving nonlinear dynamic problems.

Comparison of Improved Explicit Method and Predictor Correct α-Method (개선된 명시적 방법과 예측수정 α-Method방법의 비교)

  • Kwon, Min-Ho;Jung, Woo-Young
    • Journal of the Korean Society for Advanced Composite Structures
    • /
    • v.3 no.4
    • /
    • pp.1-9
    • /
    • 2012
  • Dynamic application lower mode response is of interest, however the higher modes of spatially discretized equations generally do not represent the real behavior. Some implicit algorithms, therefore, are introduced to filter out the high-frequency modes. The objective of this study is to introduce the P-method and PC ${\alpha}$-method to compare that with dissipation method and Newmark method through the stability analysis and numerical example. PC ${\alpha}$-method gives more accuracy than other methods because it based on the ${\alpha}$-method inherits the superior properties of the implicit ${\alpha}$-method. In finite element analysis, the PC ${\alpha}$-method is more useful than other methods because it is the explicit scheme and it achieve the second order accuracy and numerical damping simultaneously.

Improvement of 3-Dimensional Finite-Difference Beam Propagation Method by Combining the Implicit and the Explicit methods (Implicit와 explicit 방법의 결합에 의한 3차원 유한차분 빔전파 방법의 개선)

  • Kim, Hyun-Jun;O, Beom-Hoan;Park, Se-Geun;Lee, El-Hang;Lee, Seung-Gol
    • Korean Journal of Optics and Photonics
    • /
    • v.15 no.6
    • /
    • pp.555-562
    • /
    • 2004
  • We propose a hybrid method combining the implicit with the explicit methods in order to reduce the calculation time and improve the convergence problem of the 3-dimensional finite-difference beam propagation method. The numerical simulation of a directional coupler is carried out by the proposed method. It is found from the simulation results that the calculation speed of our method is 10 times faster than that of direct solving techniques.

A THREE-DIMENSIONAL PASSAGE FLOW ANALYSIS METHOD AIMED AT TURBOMACHINERY ELEMENTS (터보기계 요소 유동해석을 지향한 3차원 통로유동 해석법)

  • SHIN Byeong Rog
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1995.10a
    • /
    • pp.188-193
    • /
    • 1995
  • Incompressible developing entry flows through square ducts with 90 degree bends are studied numerically by using an efficient implicit SMAC scheme with different boundary conditions. This study eventually aimed at passage flow analysis of turbomachinery elements with a strong curvature such as centrifugal impeller or draft tube. The generalized implicit scheme used in the present study has been developted to solve the three-dimensional Navier-Stokes equations by the author. Numerical results for some different numerical conditions are obtained and compared with each other

  • PDF

Modified Bayesian personalized ranking for non-binary implicit feedback (비이진 내재적 피드백 자료를 위한 변형된 베이지안 개인화 순위 방법)

  • Kim, Dongwoo;Lee, Eun Ryung
    • The Korean Journal of Applied Statistics
    • /
    • v.30 no.6
    • /
    • pp.1015-1025
    • /
    • 2017
  • Bayesian personalized ranking (BPR) is a state-of-the-art recommendation system techniques for implicit feedback data. Unfortunately, there might be a loss of information because the BPR model considers only the binary transformation of implicit feedback that is non-binary data in most cases. We propose a modified BPR method using a level of confidence based on the size or strength of implicit feedback to overcome this limitation. The proposed method is useful because it still has a structure of interpretable models for underlying personalized ranking i.e., personal pairwise preferences as in the BPR and that it is capable to reflect a numerical size or the strength of implicit feedback. We propose a computation algorithm based on stochastic gradient descent for the numerical implementation of our proposal. Furthermore, we also show the usefulness of our proposed method compared to ordinary BPR via an analysis of steam video games data.

Numerical Study on Analysis and Design of Tube Hydroforming Process by the FEM (유한요소법에 의한 관재 하이드로포밍 공정 해석 및 설계를 위한 수치적 연구)

  • Kim, J.;Kang, B.S.
    • Transactions of Materials Processing
    • /
    • v.11 no.4
    • /
    • pp.302-311
    • /
    • 2002
  • A generalized numerical approach based on the finite element method to analysis and design of hydroforming process is proposed in this paper. The special attention is focused on comparison of an implicit and an explicit finite element method widely used for hydroforming simulation. Furthermore, in order to meet the increasing real needs for prediction of forming limit, a ductile fracture criterion combined with finite element method is introduced and then applied to hydroforming process of an automobile lower m Consequently, the numerical analysis and design for hydroforming process presented here will facilitate the development and application of the tube hydrofoniung process to a new level.

NUMERICAL SIMULATION OF HIGH-SPEED FLOWS WITH SHOCK WAVE TURBULENT BOUNDARY LAYER INTERACTIONS (충격파와 난류경계층의 상호작용에 대한 수치해석)

  • Moon S. Y.;Sohn C. H.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2000.05a
    • /
    • pp.51-59
    • /
    • 2000
  • The Interactions of shock wave with turbulent boundary layers in high-speed flows cause complex flowfields which result in increased adverse pressure gradients, skin friction and temperature. Accurate and reliable prediction of such phenomena is needed in designing high-speed propulsion systems. Such analyses of the complex flowfields require sophisticated numerical scheme that can resolve interactions between shock wave and boundary layers accurately. Therefore the purpose of the present. article is to introduce an accurate and efficient mixed explicit-implicit generalized Galerkin finite element method. To demonstrate the validity of the theory and numerical procedure, several benchmark cases are investigated.

  • PDF