• Title/Summary/Keyword: Iteration Method

검색결과 1,145건 처리시간 0.027초

Advanced two-level CMFD acceleration method for the 3D whole-core high-fidelity neutron adjoint transport calculation

  • Zhu, Kaijie;Hao, Chen;Xu, Yunlin
    • Nuclear Engineering and Technology
    • /
    • 제53권1호
    • /
    • pp.30-43
    • /
    • 2021
  • In the 2D/1D method, a global adjoint CMFD based on the generalized equivalence theory is built to synthesize the 2D radial MOC adjoint and 1D axial NEM adjoint calculation and also to accelerate the iteration convergence of 3D whole-core adjoint transport calculation. Even more important, an advanced yet accurate two-level (TL) CMFD acceleration technique is proposed, in which an equivalent one-group adjoint CMFD is established to accelerate the multi-group adjoint CMFD and then to accelerate the 3D whole-core adjoint transport calculation efficiently. Based on these method, a new code is developed to perform 3D adjoint neutron flux calculation. Then a set of VERA and C5G7 benchmark problems are chosen to verify the capability of the 3D adjoint calculations and the effectiveness of TL CMFD acceleration. The numerical results demonstrate that acceptable accuracy of 2D/1D adjoint calculations and superior acceleration of TL CMFD are achievable.

수치해법을 이용한 중성자 확산방정식의λ-Mode 계산 (Numerical Calculation of λ-Mode of the Diffusion Equation)

  • 노태완;오세기;김성년;김창효
    • Nuclear Engineering and Technology
    • /
    • 제19권4호
    • /
    • pp.310-316
    • /
    • 1987
  • 중성자 확산 방정식의λ -mode를 구하는 반복 계산법을 정립하였고, 이 방법을 이용한 2군, 3차원 전산 코드 MOGEN을 개발하였다. 2차원 직각형 균질 원자로에 대해 계산을 수행하여, 생산된 고유치와 고유함수가 해석해에 잘 일치함을 보여 코드의 정확도를 검증하였다. 실제 CANDU형 포준 원자로의 2차원 mode를 생산하였고, 이는 기존의 mode특성을 정확히 나타내었다. 마지막으로, λ-mode의 응용분야에 대하여 간략히 설명하였다.

  • PDF

역설계 기법을 이용한 풍력터빈 에어포일 형상 설계 (Inverse Airfoil Design for Wind Turbine)

  • 유기완;박명호
    • 풍력에너지저널
    • /
    • 제4권2호
    • /
    • pp.55-60
    • /
    • 2013
  • The mathematical implementation for inverse airfoil design of wind turbines is presented using vortex panel method based on assumptions of the two-dimensional incompressible potential flow. The vortex panel method employs linear distribution of the vortex strength to obtain the well converged solution. Stream function is adopted to get the basic formula for the inverse airfoil design, and a symmetric seed airfoil is given for initial data of the iteration approach. The final airfoil shape has been compared with the original airfoil shape for validation of the mathematical procedure.

신뢰성기반 최적설계에서 수치적 안정성과 효율성의 개선을 위해 수정된 Single Loop Single Vector 방법 (Modified Single Loop Single Vector Method for Stability and Efficiency Improvement in Reliability-Based Design Optimization)

  • 김봉재;이재옥;양영순
    • 한국전산구조공학회논문집
    • /
    • 제18권1호
    • /
    • pp.51-59
    • /
    • 2005
  • SLSV(single loop single vector)방법은 신뢰성기반 최적설계(reliability-based design optimization, RBDO)에서 중첩된 반복과정을 제거함으로써 최적설계의 과도한 계산비용 문제에 대한 해결책을 제시하고 있지만, 종종 수렴하지 못하거나 잘못된 해가 얻어지는 등의 불안정성, 부정확성 문제를 가지고 있어 그 활용이 제한적이다. 본 논문에서는 수정된 HMV(hybrid mean value)방법, Inactive Design, Active MPP(most probable point) Design의 적용을 통해 SLSV방법에 있어서 안정성과 효율성을 효과적으로 개선시킬 수 있는 수정된 SLSV방법을 제안하였고 또한 다양한 예제를 통해 수정된 SLSV방법의 유용성을 검증하였다.

배관망 해석 방법을 이용한 스프링클러 시스템의 수리계산 프로그램 개발 (A Development of Program on the Hydraulic Calculation in Sprinkler System Based on the Piping Network Analysis Method)

  • 송철강;이명호;강계명
    • 한국화재소방학회논문지
    • /
    • 제16권1호
    • /
    • pp.24-29
    • /
    • 2002
  • 본 연구는 배관에서의 정확한 압력손실과 유량을 측정하기 위하여 스프링클러 시스템중 격자배관방식에 대한 수리계산 프로그램을 개발하는데 그 목적이 있다. 본 프로그램 개발은 배관망 해석방법 등 여러 가지 자료로 근거하며, 격자배관방식이 국내에서 현행 시행되고 있는 규약배관방식의 단점을 보안하여 스프링클러 시스템을 성능기준화재안전설계로 이끌어 내기 위함이다. 소화설비의 전산화로 인한 작업의 편리성과 정확한 계산을 측정함으로서 전진적인 화재안전설계를 이룩하게 될 것이다. 이러한 프로그램의 개발은 미국 등에서 먼저 이루어져 오고 있으며 국내에서의 소방에 대한 발전이 한 단계 발전되는 계기를 마련하게 될 것이다.

CT Image Reconstruction of Wood Using Ultrasound Velocities II - Determination of the Initial Model Function of the SIRT Method -

  • Kim, Kwang-Mo;Lee, Jun-Jae
    • Journal of the Korean Wood Science and Technology
    • /
    • 제33권5호통권133호
    • /
    • pp.29-37
    • /
    • 2005
  • A previous study verified that the SIRT (simultaneous iterative reconstruction technique) method is more efficient than the back-projection method as a CT algorithm for wood. However, it was expected that the determination of the initial model function of the SIRT method would influence the quality of CT image. Therefore, in this study, we intended to develop a technique that could be used to determine an adequate initial model function. For this purpose, we proposed several techniques, and for each technique we examined the effects of the initial model function on the average errors and the CT image at each iteration. Through this study, it was shown that the average error was decreased and the image quality was improved using the proposed techniques. This tendency was most pronounced when the back-projection method was used to determine the initial model function. From the results of this study, we drew the following conclusions: 1) The initial model function of the SIRT method should be determined with careful attention, and 2) the back-projection method efficiently determines the initial model function of the SIRT method.

원자로 천이해석을 위한 파형완화법 (Waveform Relaxation Method for Reactor Transient Analysis)

  • Park, Keon-Woo;Co, Nam-Zin
    • Nuclear Engineering and Technology
    • /
    • 제27권6호
    • /
    • pp.845-852
    • /
    • 1995
  • 반복계산법 (iterative method)중의 하나인 파형완화법 ( Waveform Relaxation Method)을 이용하여 시간의 함수인 비선형 원자로 동역학(reactor dynamics)의 해를 병렬처리기법으로 구하였다. 파형완화법은 각 반복계산과정중에서, 먼저 전체 시스템을 작은 부시스템(subsystem)으로 나누고, 각각의 부시스템들은 주어진 각각의 시간간격(time Interval)에서 해를 독립적으로 구한다. 만약 이 기법에 맞게 효과적으로 부시스템으로 나눌 수 있다면 병렬처리기법에 잘 응용될 수 있다 본 논문에서는 파형완화법이 소개되었고, 두 종류의 원자로 동역학에 응용되었다. 결론적으로 파형완화법은 원자로 동역학에 응용될 수 있으나, 다목적 연구로에 응응한 결과는 병렬효과가 그다지 크지 않은 것으로 나타났다.

  • PDF

A parameter calibration method for PFC simulation: Development and a case study of limestone

  • Xu, Z.H.;Wang, W.Y.;Lin, P.;Xiong, Y.;Liu, Z.Y.;He, S.J.
    • Geomechanics and Engineering
    • /
    • 제22권1호
    • /
    • pp.97-108
    • /
    • 2020
  • The time-consuming and less objectivity are the main problems of conventional micromechanical parameters calibration method of Particle Flow Code simulations. Thus this study aims to address these two limitation of the conventional "trial-and-error" method. A new calibration method for the linear parallel bond model (CM-LPBM) is proposed. First, numerical simulations are conducted based on the results of the uniaxial compression tests on limestone. The macroscopic response of the numerical model agrees well with the results of the uniaxial compression tests. To reduce the number of the independent micromechanical parameters, numerical simulations are then carried out. Based on the results of the orthogonal experiments and the multi-factor variance analysis, main micromechanical parameters affecting the macro parameters of rocks are proposed. The macro-micro parameter functions are ultimately established using multiple linear regression, and the iteration correction formulas of the micromechanical parameters are obtained. To further verify the validity of the proposed method, a case study is carried out. The error between the macro mechanical response and the numerical results is less than 5%. Hence the calibration method, i.e., the CM-LPBM, is reliable for obtaining the micromechanical parameters quickly and accurately, providing reference for the calibration of micromechanical parameters.

Diffusion synthetic acceleration with the fine mesh rebalance of the subcell balance method with tetrahedral meshes for SN transport calculations

  • Muhammad, Habib;Hong, Ser Gi
    • Nuclear Engineering and Technology
    • /
    • 제52권3호
    • /
    • pp.485-498
    • /
    • 2020
  • A diffusion synthetic acceleration (DSA) technique for the SN transport equation discretized with the linear discontinuous expansion method with subcell balance (LDEM-SCB) on unstructured tetrahedral meshes is presented. The LDEM-SCB scheme solves the transport equation with the discrete ordinates method by using the subcell balances and linear discontinuous expansion of the flux. Discretized DSA equations are derived by consistently discretizing the continuous diffusion equation with the LDEM-SCB method, however, the discretized diffusion equations are not fully consistent with the discretized transport equations. In addition, a fine mesh rebalance (FMR) method is devised to accelerate the discretized diffusion equation coupled with the preconditioned conjugate gradient (CG) method. The DSA method is applied to various test problems to show its effectiveness in speeding up the iterative convergence of the transport equation. The results show that the DSA method gives small spectral radii for the tetrahedral meshes having various minimum aspect ratios even in highly scattering dominant mediums for the homogeneous test problems. The numerical tests for the homogeneous and heterogeneous problems show that DSA with FMR (with preconditioned CG) gives significantly higher speedups and robustness than the one with the Gauss-Seidel-like iteration.

Resonance Elastic Scattering and Interference Effects Treatments in Subgroup Method

  • Li, Yunzhao;He, Qingming;Cao, Liangzhi;Wu, Hongchun;Zu, Tiejun
    • Nuclear Engineering and Technology
    • /
    • 제48권2호
    • /
    • pp.339-350
    • /
    • 2016
  • Based on the resonance integral (RI) tables produced by the NJOY program, the conventional subgroup method usually ignores both the resonance elastic scattering and the resonance interference effects. In this paper, on one hand, to correct the resonance elastic scattering effect, RI tables are regenerated by using the Monte Carlo code, OpenMC, which employs the Doppler broadening rejection correction method for the resonance elastic scattering. On the other hand, a fast resonance interference factor method is proposed to efficiently handle the resonance interference effect. Encouraging conclusions have been indicated by the numerical results. (1) For a hot full power pressurized water reactor fuel pin-cell, an error of about +200 percent mille could be introduced by neglecting the resonance elastic scattering effect. By contrast, the approach employed in this paper can eliminate the error. (2) The fast resonance interference factor method possesses higher precision and higher efficiency than the conventional Bondarenko iteration method. Correspondingly, if the fast resonance interference factor method proposed in this paper is employed, the $k_{inf}$ can be improved by ~100 percent mille with a speedup of about 4.56.