• 제목/요약/키워드: back extrapolation

검색결과 5건 처리시간 0.016초

수정된 내부 에너지 비평형 1차 외삽 경계조건을 적용한 열 유동 격자 볼츠만 모델에 관한 수치적 연구 (Numerical Simulation of Thermal Lattice Boltzmann Model with a Modified In-Ternal Energy Non-Equilibrium First-Order Extrapolation Boundary Condition)

  • 정해권;김래성;이현구;이재룡;하만영
    • 대한기계학회논문집B
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    • 제31권7호
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    • pp.620-627
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    • 2007
  • In this paper, we adapt a modified internal energy non-equilibrium first-order extrapolation thermal boundary condition to the thermal lattice Boltzmann model (TLBM). This model is the double populations approach to simulate hydrodynamic and thermal fields. The bounce-back boundary condition which is a traditional boundary condition of lattice Boltzmann method has only a first order in numerical accuracy at the boundary and numerical instability. A non-equilibrium first-order extrapolation boundary condition has been verified to be of better numerical stability than the bounce-back boundary condition and this boundary condition is proved to be of second-order accuracy for the flat boundaries. The two-dimensional natural convection flow in a square cavity with Pr=0.71 and various Rayleigh numbers are simulated. The results are found to be in good agreement with those of previous studies.

PERFORMANCE OF RICHARDSON EXTRAPOLATION ON SOME NUMERICAL METHODS FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM WHOSE SOLUTION HAS BOUNDARY LAYERS

  • Munyakazi, Justin B.;Patidar, Kailash C.
    • 대한수학회지
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    • 제51권4호
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    • pp.679-702
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    • 2014
  • Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. On the other hand, one could think of applying the convergence acceleration technique to improve the performance of existing numerical methods. However, that itself posed some challenges. To this end, we design and analyze a novel fitted operator finite difference method (FOFDM) to solve this type of problems. Then we develop a fitted mesh finite difference method (FMFDM). Our detailed convergence analysis shows that this FMFDM is robust with respect to the singular perturbation parameter. Then we investigate the effect of Richardson extrapolation on both of these methods. We observe that, the accuracy is improved in both cases whereas the rate of convergence depends on the particular scheme being used.

Fatigue life prediction of multiple site damage based on probabilistic equivalent initial flaw model

  • Kim, JungHoon;Zi, Goangseup;Van, Son-Nguyen;Jeong, MinChul;Kong, JungSik;Kim, Minsung
    • Structural Engineering and Mechanics
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    • 제38권4호
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    • pp.443-457
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    • 2011
  • The loss of strength in a structure as a result of cyclic loads over a period of life time is an important phenomenon for the life-cycle analysis. Service loads are accentuated at the areas of stress concentration, mainly at the connection of components. Structural components unavoidably are affected by defects such as surface scratches, surface roughness and weld defects of random sizes, which usually occur during the manufacturing and handling process. These defects are shown to have an important effect on the fatigue life of the structural components by promoting crack initiation sites. The value of equivalent initial flaw size (EIFS) is calculated by using the back extrapolation technique and the Paris law of fatigue crack growth from results of fatigue tests. We try to analyze the effect of EIFS distribution in a multiple site damage (MSD) specimen by using the extended finite element method (XFEM). For the analysis, fatigue tests were conducted on the centrally-cracked specimens and MSD specimens.

외삽법을 이용한 개선된 영상확대기법 (Enhanced Image Magnification by Using Extrapolation)

  • 제성관;김광백;조재현;이진영;차의영
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2006년도 춘계종합학술대회
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    • pp.825-828
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    • 2006
  • 영상처리에서 많이 사용되고 있는 확대기법은 보간법을 이용하여 영상을 확대하고 있다. 이러한 보간법은 확대시 영상의 손실을 가져오는 블록화 현상이나 몽롱화현상이 발생한다. 본 논문에서는 경계선을 이용하여 기존의 영상확대기법을 개선하였다. 제안된 기법은 확대시 영상의 빈 공간을 채우는 기존의 보간법과 달리 입력영상의 부대역을 이용하여 영상을 확대하였다. 영상의 부대역은 각 대역별로 유사한 특징이었으므로 피라미드 분해기법에 의해 필요한 상위대역을 계산하여 확대하였다. 실험결과, 기존의 확대기법보다 영상손실을 제거하였으며, 처리시간을 줄일 수 있었다.

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MODELLING THE DYNAMICS OF THE LEAD BISMUTH EUTECTIC EXPERIMENTAL ACCELERATOR DRIVEN SYSTEM BY AN INFINITE IMPULSE RESPONSE LOCALLY RECURRENT NEURAL NETWORK

  • Zio, Enrico;Pedroni, Nicola;Broggi, Matteo;Golea, Lucia Roxana
    • Nuclear Engineering and Technology
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    • 제41권10호
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    • pp.1293-1306
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    • 2009
  • In this paper, an infinite impulse response locally recurrent neural network (IIR-LRNN) is employed for modelling the dynamics of the Lead Bismuth Eutectic eXperimental Accelerator Driven System (LBE-XADS). The network is trained by recursive back-propagation (RBP) and its ability in estimating transients is tested under various conditions. The results demonstrate the robustness of the locally recurrent scheme in the reconstruction of complex nonlinear dynamic relationships.