• 제목/요약/키워드: numerical comparison problems

검색결과 221건 처리시간 0.026초

Using the Monte Carlo method to solve the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions

  • Bahram R. Maleki
    • Nuclear Engineering and Technology
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    • 제55권1호
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    • pp.324-329
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    • 2023
  • Different types of deterministic solution methods were used to solve neutron transport equations corresponding to half-space and slab albedo problems. In these types of solution methods, in addition to the error of the numerical solutions, the obtained results contain truncation and discretization errors. In the present work, a non-analog Monte Carlo method is provided to simulate the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions. For each scattering function, the sampling method of the direction of the scattered neutrons is presented. The effects of different beams with different angular dependencies and the effects of different scattering parameters on the reflection probability are investigated using the developed Monte Carlo method. The validity of the Monte Carlo method is also confirmed through the comparison with the published data.

Numerical and Experimental Investigations of Dynamic Stall

  • Geissler, Wolfgang;Raffel, Markus;Dietz, Guido;Mai, Holger
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.19-19
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    • 2009
  • Dynamic Stall is a flow phenomenon which occurs on the retreating side of helicopter rotor blades during forward flight. It also occurs on blades of stall regulated wind turbines under yawing conditions as well as during gust loads. Time scales occurring during this process are comparable on both helicopter and wind turbine blades. Dynamic Stall limits the speed of the helicopter and its manoeuvrability and limits the amount of power production of wind turbines. Extensive numerical as well as experimental investigations have been carried out recently to get detailed insight into the very complex flow structures of the Dynamic Stall process. Numerical codes have to be based on the full equations, i.e. the Navier-Stokes equations to cover the scope of the problems involved: Time dependent flow, unsteady flow separation, vortex development and shedding, compressibility effects, turbulence, transition and 3D-effects, etc. have to be taken into account. In addition to the numerical treatment of the Dynamic Stall problem suitable wind tunnel experiments are inevitable. Comparisons of experimental data with calculated results show us the state of the art and validity of the CFD-codes and the necessity to further improve calculation procedures. In the present paper the phenomenon of Dynamic Stall will be discussed first. This discussion is followed by comparisons of some recently obtained experimental and numerical results for an oscillating helicopter airfoil under Dynamic Stall conditions. From the knowledge base of the Dynamic Stall Problems, the next step can be envisaged: to control Dynamic Stall. The present discussion will address two different Dynamic Stall control methodologies: the Nose-Droop concept and the application of Leading Edge Vortex Generators (LEVoG's) as examples of active and passive control devices. It will be shown that experimental results are available but CFD-data are only of limited comparison. A lot of future work has to be done in CFD-code development to fill this gap. Here mainly 3D-effects as well as improvements of both turbulence and transition modelling are of major concern.

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ON A FAST ITERATIVE METHOD FOR APPROXIMATE INVERSE OF MATRICES

  • Soleymani, Fazlollah
    • 대한수학회논문집
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    • 제28권2호
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    • pp.407-418
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    • 2013
  • This paper studies a computational iterative method to find accurate approximations for the inverse of real or complex matrices. The analysis of convergence reveals that the method reaches seventh-order convergence. Numerical results including the comparison with different existing methods in the literature will also be considered to manifest its superiority in different types of problems.

유한요소법을 이용한 원통형 압전변환기의 입력임피던스 해석 (Input Impedance Analysis of Piezoelectric Cylinder Transducer using Finite Element Method)

  • 김천덕;서희선;김대환;윤종락
    • 한국음향학회지
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    • 제11권6호
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    • pp.32-40
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    • 1992
  • This study shows how the finite element method for the structural problems could be applied in the electromechanical impedance analysis of an in-air piezoelectric cylinder transducer and then compares the numerical results by the FEM with the measured results using the impedance analyzer. The results also show that the comparison between both results could be applied to examine the mechanical properties of the added unknown material to transducer such as an acoustic window.

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비정렬 유한체적법을 이용한 비압축성 유동해석 코드 개발 (Development of Incompressible flow solver based on unstructured FVM)

  • 김종태;김용모;맹주성
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1996년도 춘계 학술대회논문집
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    • pp.33-39
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    • 1996
  • An incompressible flow stover based on the unstructured finite volume method has been developed. The flow domain is discretized by triangles in 2D or tetrahedra in 3D. The convective and viscous fluxes are obtained using edge connectivities of the unstructured meshes. The pressure-velocity coupling is handled by the artificial compressibility algorithm due to its computational efficiency associated with the hyperbolic nature of the resulting equations. Laminar test flow problems are computed and presented with a comparison against other numerical solutions or experimental results.

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EXPONENTIAL STABILITY OF A CLASS OF NONLINEAR DIFFERENCE EQUATIONS IN BANACH SPACES

  • Nguyen, Sinh Bay;Le, Van Hien;Hieu, Trinh
    • 대한수학회논문집
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    • 제32권4호
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    • pp.851-864
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    • 2017
  • The problems of global and local exponential stability analysis of a class of nonlinear non-autonomous difference equations in Banach spaces are studied in this paper. By a novel comparison technique, new explicit exponential stability conditions are derived. Numerical examples are given to illustrate the effectiveness of the obtained results.

중복설계 최적화문제의 새로운 초기 값 설정에 관한 연구 (A New Initial Value for Solving Redundancy Optimization Problems)

  • 이도경;이근희
    • 산업경영시스템학회지
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    • 제15권25호
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    • pp.11-14
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    • 1992
  • This paper presents a method for establishing an initial value of redundancy optimization problem to maximize system reliability of multiconstraint mixed parallel-series system. The constraints not be linear. This paper proposes a new initial value which is near to optimal solution by considering the relative median rate of the unreliability and amount of consumed resources for each subsystem. To show the efficiency of this model. numerical example and comparison with Narasimhalu is illustrated in chapter 4.

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PRECONDITIONED AOR ITERATIVE METHODS FOR SOLVING MULTI-LINEAR SYSTEMS WITH 𝓜-TENSOR

  • QI, MENG;SHAO, XINHUI
    • Journal of applied mathematics & informatics
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    • 제39권3_4호
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    • pp.587-600
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    • 2021
  • Some problems in engineering and science can be equivalently transformed into solving multi-linear systems. In this paper, we propose two preconditioned AOR iteration methods to solve multi-linear systems with -tensor. Based on these methods, the general conditions of preconditioners are given. We give the convergence theorem and comparison theorem of the two methods. The results of numerical examples show that methods we propose are more effective.

혼합 체적-경계 적분방정식법을 이용한 응력확대계수 계산 (Calculation of Stress Intensity Factors Using the Mixed Volume and Boundary Integral Equation Method)

  • 이정기;이형민
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1120-1131
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    • 2003
  • A recently developed numerical method based on a mixed volume and boundary integral equation method is applied to calculate the accurate stress intensity factors at the crack tips in unbounded isotropic solids in the presence of multiple anisotropic inclusions and cracks subject to external loads. Firstly, it should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. Secondly, this method takes full advantage of the capabilities developed in FEM and BIEM. In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and volume integral equation method. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.

경계요소법에 의한 선형 압밀문제의 해석 (Analysis of Linear Consolidation Problems by the Boundary Element Method)

  • 서일교
    • 전산구조공학
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    • 제8권4호
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    • pp.129-136
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    • 1995
  • 본 연구에서는 Biot의 선형압밀이론에 근거한 2차원 압밀문제의 근사해를 구하기 위한 경계요소법을 제시한다. 먼저 선형 압밀문제의 기초미분방정식의 시간의존성을 제거하기 위하여 시간에 대한 Laplace변환을 적용시키고, 변환공간에서의 미분방정식을 대상으로 정식화를 한다. 변환공간에서의 변위와 간극수압에 대한 경계적분방정식계를 유도하고, 변환공간에서의 연성문제에 대한 기본해를 구체적으로 보인다. 변환공간에서의 해를 실공간의 해로 변환하기 위하여 Hosono의 수직 Laplace역변환법을 적용하였으며, 해석예로서 2차원 반무한 지반의 국소재하에 의한 압밀문제를 해석예로 선택하였고, 암밀해와 비교하여 제안해법의 적용성 및 타당성을 보였다.

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