• 제목/요약/키워드: generalized finite difference method

검색결과 59건 처리시간 0.022초

HDD용 유체베어링 설계를 위한 형상 모델링의 자동화 (Automation of Feature Modeling for HDD Fluid Dynamic Bearing Design)

  • 이남훈;권정민;구자춘
    • 한국소음진동공학회논문집
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    • 제15권2호
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    • pp.148-155
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    • 2005
  • As functional requirement of massive digital information storage devices are on a trend for the higher data transfer rate and lower cost, many different technical efforts are being tested and implemented in the industry. FDB(fluid dynamic bearing) is one of the major breakthroughs in rotor design in terms of TMR(track misregistration) budget. Although FDB analysis based on Reynolds' equation is well established and popularly being used for FDB design especially for the estimation of bearing stiffness, there are obvious limitations in the approach due to the inherent assumptions. A generalized analysis tool employing the full Navier-Stokes equation and the energy balance is to be beneficial for detailed FDB design. In this publication, an efficient geometry modeling method is presented that provides fully integrated inputs for general FVM/FDM(finite volume method/ finite difference method) codes. By virtue of the flexibility of the presented method, many different detailed FDB design and analysis are carried over with ease.

Temperature Distribution of a Low Temperature Heat Pipe with Multiple Heaters for Electronic Cooling

  • Noh, Hong-Koo;Song, Kyu-Sub
    • ETRI Journal
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    • 제20권4호
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    • pp.380-394
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    • 1998
  • A numerical study has been performed to predict the characteristics on the transient operation of the heat pipe with multiple heaters for electronic cooling. The model of the heat pipe was composed of the evaporator section with four heaters, insulated transport section, and the condensor section with a conductor which is cooled with uniform heat flux condition to surrounding. The governing equations and the boundary conditions were solved by the generalized PHOENICS computational code employing the finite volume method. Two test cases are investigated in present study; Case 1 indicates that the 1st and 2nd heaters among four heating sources are heated off, while the 3rd and 4th heaters are heated on. Case 2 is the inverse situation switched from heating location of Case 1. The results show that the transient time to reach the steady state is shorter for Case 1 than for Case 2. Especially, the temperature difference of the heater during switching operation is relatively small compared to the maximum allowable operating temperature difference in electronic system. Hence, it is predicted that the heat pipe in present study operates with thermally good reliability even for switching the heaters.

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Recent developments in the GENESIS code based on the Legendre polynomial expansion of angular flux method

  • Yamamoto, Akio;Giho, Akinori;Endo, Tomohiro
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1143-1156
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    • 2017
  • This paper describes recent development activities of the GENESIS code, which is a transport code for heterogeneous three-dimensional geometry, focusing on applications to reactor core analysis. For the treatment of anisotropic scattering, the concept of the simplified Pn method is introduced in order to reduce storage of flux moments. The accuracy of the present method is verified through a benchmark problem. Next, the iteration stability of the GENESIS code for the highly voided condition, which would appear in a severe accident (e.g., design extension) conditions, is discussed. The efficiencies of the coarse mesh finite difference and generalized coarse mesh rebalance acceleration methods are verified with various stabilization techniques. Use of the effective diffusion coefficient and the artificial grid diffusion coefficients are found to be effective to stabilize the acceleration calculation in highly voided conditions.

A Generalized Model for Homogenized Reflectors

  • Pogosbekyan, Leonid;Kim, Yeong-Il;Kim, Young-Jin;Joo, Hyung-Kook
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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    • pp.40-45
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    • 1996
  • A new concept of equivalent homogenization is proposed. The concept employs new set of homogenized parameters: homogenized cross sections (XS) and interface matrix (IM), which relates partial currents at the celt interfaces. The idea of interface matrix generalizes the idea of discontinuity factors (DFs), proposed and developed by K.Koebke and K.Smith. The method of K.Smith can be simulated within framework of new method, while the new method approximates heterogeneous cell better in case of the steep flux gradients at the cell interfaces. The attractive shapes of new concept are: improved accuracy, simplicity of incorporation in the existing codes, equal numerical expenses in comparison to the K.Smith's approach. The new concept is useful for: (a) explicit reflector/baffle simulation; (b) control blades simulation; (c) mixed UO2/MOX core simulation, The offered model has been incorporated in the finite difference code and in the nodal code PANBOX. The numerical results show good accuracy of core calculations and insensitivity of homogenized parameters with respect to in- core conditions.

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Numerical study of performance of soil-steel bridge during soil backfilling

  • Beben, Damian
    • Structural Engineering and Mechanics
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    • 제42권4호
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    • pp.571-587
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    • 2012
  • This paper presents results of a numerical analysis performed on a corrugated steel plate (CSP) bridge during a backfilling process. The analysed bridge structure was a box culvert having a span of 12315 mm as well as a clear height of 3550 mm. Obtained calculation results were compared with the experimental ones. The paper is presented with the application of the Fast Lagrangian Analysis of Continua (FLAC) program based on the finite differences method (FDM) to determine behaviour of the soil-steel bridge structure during backfilling. The assumptions of a computational 2D model of soil-steel structure with a non-linear interface layer are described. Parametric analysis of the interface element is also given in order to receive the most realistic calculation results. The method based on this computational model may be used with large success to design calculations of this specific type of structure instead of the conventional and fairly inaccurate analytical methods. The conclusions drawn from such analysis can be helpful mostly for the assessment of the behaviour of steel-soil bridge structures under loads of backfilling. In consideration of an even more frequent application of this type of structure, conclusions from the conducted analysis can be generalized to a whole class of similar structural bridge solutions.

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

  • 이재영
    • 전산구조공학
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    • 제1권1호
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    • pp.67-78
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    • 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.

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경계적분방정식을 이용한 축대칭 열전도 고체의 형상설계민감도 해석 (Shape Design Sensitivity Analysis of Axisymmetric Thermal Conducting Solids Using Boundary Integral Equations)

  • 이부윤
    • 대한기계학회논문집
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    • 제17권1호
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    • pp.141-152
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    • 1993
  • 본 연구에서는 축대칭 열전도 고체의 형상설계민감도 해석을 위하여 2차원 문 제를 다룬 Lee, Choi와 Kwak의 방법을 축대칭 문제로 확장하였다.축대칭 형태로 표 시된 직접 및 간접 경계적분방정식의 정식화에 기초하여 전미분방접과 보조변수방법으 로 형상최적화 문제에서 발생하는 일반적인 성능 범함수의 형상설계민감도 공식을 유 도하고, 온도 및 열속의 제한조건에 이를 응용하였다. 제시된 민감도해석방법의 정 확성을 검증하기 위하여 해석적인 해를 갖는 원통문제와 구문제를 다루었는데, 두 문 제에 대하여 민감도 공식을 이용하여 수치계산된 결과를 해석적인 민감도와 비교하였 다. 또한 복잡한 수치해로서 냉각핀(cooling fin)문제를 다루었으며, 민감도 공식에 의한 계산 결과를 유한차분(finite difference)으로 수치미분한 결과와 비교하였다.

IT 기반의 터널 최적 설계를 위한 시스템 개발 (Development of IT-based tunnel design system)

  • 유충식;김선빈;유광호
    • 한국터널지하공간학회 논문집
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    • 제10권2호
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    • pp.153-166
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    • 2008
  • 본 논문에서는 IT 기술을 이용한 터널 자동화 설계 시스템 개발에 관한 내용을 다루었다. 먼저 개발 시스템에 대한 개념 및 개발 과정과 시스템을 구성하는 각 요소기술 및 개별 모듈 개발에 관한 내용을 기술하였다. 본 시스템의 요소기술인 ANN-기반의 터널 저동 예측 기술에 대해 그 개념과 ANN 학습과정 및 검증과정을 기술하였다 ANN-기반의 터널거동 예측은 FEM 및 FDM 등 연속체 기반의 해석을 토대로 구축한 DB를 ANN을 통해 일반화 한 후 개발된 엔진을 세부모듈에 접목시켜 별도의 해석 없이 유사 단면 혹은 현장에 적용이 가능하도록 하였다. 본 논문에서는 구체적인 개발과정과 향후 적용방향에 대해 구체적인 내용을 기술하였다.

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An investigation into the thermo-elasto-hydrodynamic effect of notched mechanical seals

  • Meng, Xiangkai;Qiu, Yujie;Ma, Yi;Peng, Xudong
    • Nuclear Engineering and Technology
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    • 제54권6호
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    • pp.2173-2187
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    • 2022
  • A 3D thermo-elasto-hydrodynamic model is developed to analyze the sealing performance of a notched mechanical seal applied in the reactor coolant pump. In the model, the generalized Reynolds equation, the energy equation coupled with notch heat balance equation, the heat conduction equations, and the deformation equations of the sealing rings are iteratively solved by the finite element method. The film pressure and temperature distribution are obtained, and the deformation of the sealing rings is revealed to study the mechanism of the notched mechanical seals. A parameterized study is conducted to analyze the sealing performance under different operating conditions. As a comparison, the sealing performance of non-notched seals is also studied. The results show that the hydrostatic effect is dominant in the load-carrying capacity of the fluid film due to the radial mechanical and thermal deformations. The notch can cool the fluid film and influence the thermal deformation of seal rings. The sealing performance is sensitive to the pressure difference, ambient temperature, and rotational speed. It is suggested to set the notches on the softer sealing rings to acquire the greater hydrodynamic effect. Compared with the non-notched, the notched end face holds a better lubrication performance, especially under lower rotational speed.

A PARALLEL PRECONDITIONER FOR GENERALIZED EIGENVALUE PROBLEMS BY CG-TYPE METHOD

  • MA, SANGBACK;JANG, HO-JONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제5권2호
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    • pp.63-69
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    • 2001
  • In this study, we shall be concerned with computing in parallel a few of the smallest eigenvalues and their corresponding eigenvectors of the eigenvalue problem, $Ax={\lambda}Bx$, where A is symmetric, and B is symmetric positive definite. Both A and B are large and sparse. Recently iterative algorithms based on the optimization of the Rayleigh quotient have been developed, and CG scheme for the optimization of the Rayleigh quotient has been proven a very attractive and promising technique for large sparse eigenproblems for small extreme eigenvalues. As in the case of a system of linear equations, successful application of the CG scheme to eigenproblems depends also upon the preconditioning techniques. A proper choice of the preconditioner significantly improves the convergence of the CG scheme. The idea underlying the present work is a parallel computation of the Multi-Color Block SSOR preconditioning for the CG optimization of the Rayleigh quotient together with deflation techniques. Multi-Coloring is a simple technique to obatin the parallelism of order n, where n is the dimension of the matrix. Block SSOR is a symmetric preconditioner which is expected to minimize the interprocessor communication due to the blocking. We implemented the results on the CRAY-T3E with 128 nodes. The MPI(Message Passing Interface) library was adopted for the interprocessor communications. The test problems were drawn from the discretizations of partial differential equations by finite difference methods.

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