• 제목/요약/키워드: reflective boundary condition

검색결과 14건 처리시간 0.02초

A FAST LAGRANGE METHOD FOR LARGE-SCALE IMAGE RESTORATION PROBLEMS WITH REFLECTIVE BOUNDARY CONDITION

  • Oh, SeYoung;Kwon, SunJoo
    • 충청수학회지
    • /
    • 제25권2호
    • /
    • pp.367-377
    • /
    • 2012
  • The goal of the image restoration is to find a good approximation of the original image for the degraded image, the blurring matrix, and the statistics of the noise vector given. Fast truncated Lagrange (FTL) method has been proposed by G. Landi as a image restoration method for large-scale ill-conditioned BTTB linear systems([3]). We implemented FTL method for the image restoration problem with reflective boundary condition which gives better reconstructions of the unknown, the true image.

Dynamic analysis of Pine Flat dam-reservoir system utilizing Hagstrom-Warburton truncation boundary condition

  • Solmaz Dehghanmarvasty;Vahid Lotfi
    • Coupled systems mechanics
    • /
    • 제12권4호
    • /
    • pp.365-389
    • /
    • 2023
  • Dynamic analysis of a typical concrete gravity dam-reservoir system is formulated by FE-(FE-TE) approach (i.e., Finite Element-(Finite Element-Truncation Element)). In this technique, dam and reservoir are discretized by plane solid and fluid finite elements. Moreover, the H-W (i.e., Hagstrom-Warburton) high-order condition imposed at the reservoir truncation boundary. This task is formulated by employing a truncation element at that boundary. It is emphasized that reservoir far-field is excluded from the discretized model. The formulation is initially reviewed which was originally proposed in a previous study. Thereafter, the response of Pine Flat dam-reservoir system is studied due to horizontal and vertical ground motions for two types of reservoir bottom conditions of full reflective and absorptive. It should be emphasized that study is carried out under high order of H-W condition applied on the truncation boundary. The initial part of study is focused on the time harmonic analysis. In this part, it is possible to compare the transfer functions against corresponding responses obtained by FE-(FE-HE) approach (referred to as exact method). Subsequently, the transient analysis is carried out. In that part, it is only possible to compare the results for low and high normalized reservoir length cases. Therefore, the sensitivity of results is controlled due to normalized reservoir length values.

일차 홀드 방식의 반력 구현 시스템에 대한 안정성 해석 (Stability Analysis of a Haptic System with a First-Order-Hold Method)

  • 이경노
    • 제어로봇시스템학회논문지
    • /
    • 제20권4호
    • /
    • pp.389-394
    • /
    • 2014
  • This paper presents the effect of a reflective force computed from a first-order-hold method on the stability of a haptic system. A haptic system is composed of a haptic device with a mass and a damper, a virtual spring, a sampler and a sample-and-hold. The boundary condition of the maximum virtual stiffness is analytically derived by using the Routh-Hurwitz criterion and the condition shows that the maximum virtual stiffness is proportional to the square root of the mass and the damper of a haptic device and also is inversely proportional to the sampling time to the power of three over two. The effectiveness of the derived condition is evaluated by the simulation. When the reflective forces are computed by using the first-order-hold method, the maximum available stiffness to guarantee the stability is increased several hundred times as large as when the zero-order-hold method is applied.

중성자 수송경계조건의 확산근사에 대한 연구 (A Study on Diffusion Approximations to Neutron Transport Boundary Conditions)

  • 노태완
    • 방사성폐기물학회지
    • /
    • 제16권2호
    • /
    • pp.203-209
    • /
    • 2018
  • 중성자 수송방정식으로 기술되는 중성자 거동을 중성자 확산방정식으로 계산하기 위해서는 수송경계조건에 대한 정확한 확산근사가 필요하다. 본 연구에서는 수송이론의 반사 및 진공경계조건에 대한 근사로 확산계산에서 광범위하게 사용되는 영중성자류, Marshak 및 Mark, 영중성자속, Albedo 조건 등에 대하여 수송이론의 확산근사 관점에서 유도 분석하여 각 조건의 수학적, 물리적 의미를 이해하고 서로의 상관관계를 보였다. 이러한 경계조건을 갖는 대상 문제를 서로 다른 확산경계조건을 사용하여 풀어 결과를 비교하였고 이들이 수송 경계조건을 비교적 정확히 기술함을 보였다.

감광성 도판트를 이용한 풀컬러 구현 가능 반사형 콜레스테릭 액정 (Full Color Reflective Cholesteric Liquid Crystal using Photosensitive Chiral Dopant)

  • 박서규;김정수;조희석;권순범;유리레즈니코프
    • 한국전기전자재료학회논문지
    • /
    • 제21권5호
    • /
    • pp.474-480
    • /
    • 2008
  • In order to make full color cholesteric displays, color filter-less R, G, B sub-pixel structured cholesteric LC cells have been studied. To make R, G, B colors, UV induced pitch variant chiral dopant was added to cholesteric LC mixtures. The concentration of the photo-sensitive chiral dopant was adjusted so that the initial state showed blue color and the color was changed from blue to green and red with increase of UV irradiation to the cholesteric cells. To prevent the mixing of R, G, B reflective sub-pixel liquid crystals, separation walls were formed using negative photo resister in boundary area between sub-pixels, Through the optimization of the material concentrations and UV irradiation condition, vivid R, G, B colors were achieved.

PWR core calculation based on pin-cell homogenization in three-dimensional pin-by-pin geometry

  • Bin Zhang;Yunzhao Li;Hongchun Wu;Wenbo Zhao;Chao Fang;Zhaohu Gong;Qing Li;Xiaoming Chai;Junchong Yu
    • Nuclear Engineering and Technology
    • /
    • 제56권6호
    • /
    • pp.1950-1958
    • /
    • 2024
  • For the pressurized water reactor two-step calculation, the traditional assembly homogenization and two-group neutron diffusion calculation have been widely used. When it comes to the core pin-by-pin simulation, many models and techniques are different and unsettled. In this paper, the homogenization methods based on the pin discontinuity factors and super homogenization factors are used to get the pin-cell homogenized parameters. The heterogeneous leakage model is applied to modify the infinite flux spectrum of the single assembly with reflective boundary condition and to determine the diffusion coefficients for the SP3 solver which is used in the core simulation. To reduce the environment effect of the single-assembly reflective boundary condition, the online method for the SPH factors updating is applied in this paper, and the functionalization of SPH factors based on the least-squares method will be pre-made alone with the table of the group constants. The fitting function will be used to update the thermal-group SPH factors with a whole-core pin-by-pin homogeneous solution online. The three-dimensional Watts Bar Nuclear Unit 1 (WBN1) problem was utilized to test the performance of pin-by-pin calculation. And numerical results have demonstrated that PWR pin-by-pin core calculation has more accurate results compared with the traditional assembly-homogenization scheme.

On the equivalence of reaction rate in energy collapsing of fast reactor code SARAX

  • Xiao, Bowen;Wei, Linfang;Zheng, Youqi;Zhang, Bin;Wu, Hongchun
    • Nuclear Engineering and Technology
    • /
    • 제53권3호
    • /
    • pp.732-740
    • /
    • 2021
  • Scattering resonance of medium mass nuclides leads complex spectrum in the fast reactor, which requires thousands of energy groups in the spectrum calculation. When the broad-group cross sections are collapsed, reaction rate cannot be completely conserved. To eliminate the error from energy collapsing, the Super-homogenization method in energy collapsing (ESPH) was employed in the fast reactor code SARAX. An ESPH factor was derived based on the ESPH-corrected SN transport equation. By applying the factor in problems with reflective boundary condition, both the effective multiplication factor and reaction rate were conserved. The fixed-source iteration was used to ensure the stability of ESPH iteration. However, in the energy collapsing process of SARAX, the vacuum boundary condition was adopted, which was necessary for fast reactors with strong heterogeneity. To further reduce the error caused by leakage, an additional conservation factor was proposed to correct the neutron current in energy collapsing. To evaluate the performance of ESPH with conservation factor, numerical benchmarks of fast reactors were calculated. The results of broad-group calculation agreed well with the direct full-core Monte-Carlo calculation, including the effective multiplication factor, radial power distribution, total control rod worth and sodium void worth.

감광성 도판트를 이용한 풀컬러 구현 가능 반사형 콜레스테릭 액정 (Full color reflective cholesteric liquid cystal using photosensitive chiral dopant)

  • 박서규;조희석;권순범;김정수;레즈니코프
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2007년도 추계학술대회 논문집
    • /
    • pp.394-395
    • /
    • 2007
  • In order to make full color cholesteric displays, color filter-less R, G, B sub-pixel structured cholesteric LC cells have been studied. To make R, G, B colors, UV induced pitch variant chiral dopant was added to cholesteric LC mixtures. The concentration of the photo-sensitive chiral dopant was adjusted so that the initial state showed blue color and the color was changed from blue to green and red with increase of UV irradiation to the cholesteric cells. To prevent the mixing of R, G, B reflective sub-pixel liquid crystals, separation walls were formed using negative photo resister in boundary area between sub-pixels. Through the optimization of the material concentrations and UV irradiation condition, vivid R, G, B colors were achieved.

  • PDF

유한차분 시간영역 해석법에 내부전원을 이용한 마이크로스트립 선로 해석에 관한 연구 (A Study on the Analysis of the Microstrip Line by Using Inner Source at the FDTD Method)

  • 윤성현;정수길;손창수
    • 한국전자파학회논문지
    • /
    • 제9권5호
    • /
    • pp.567-577
    • /
    • 1998
  • 유한차분 시간영역 방법을 이용하여 연속 및 불연속 마이크로스트립올 해석할 때 홉수 경계조건은 Berenger의 완전 접합충(Perfectly Matched Layer:PML)올 3차원으로 적용하고, 전원의 인가는 기존의 마이크로스트립 전면(front face)에 인가하는 방법 대신 내부전원(Inner Source Technique:IST)을 이용하였다. 이 방법을 이용하면 de성분의 왜곡이 개선되고, 에베네센트(evanescent) 및 복사 전자계가 존재하는 측면과 윗면의 계산 영역올 줄이더라도 해석된 특성은 신뢰할 수 있는 결과를 얻올 수 있었다. 또한 내부전원의 위치를 조정함으로서 불완전한 경계조건에 의해서 발생되는 반사파의 영향올 효과적으로 제거할 수 있었다. 본 연구에서는 이러한 방법을 이용하여 마이크로스트립의 분산특성 및 특성임피던스를 계산하였다. 그리고 종단개방 마이크로스트립의 산란계수의 크기와 위상올 구하고 그 동가회로를 계산하였다.

  • PDF

Beer-Lambert 법칙을 적용한 레이저 열원 프로파일 모델링 및 레이저무기용 반사경의 열변형 해석을 통한 구조-열-광학 성능 연구 (A Study on Structural-Thermal-Optical Performance through Laser Heat Source Profile Modeling Using Beer-Lambert's Law and Thermal Deformation Analysis of the Mirror for Laser Weapon System)

  • 홍대기
    • 항공우주시스템공학회지
    • /
    • 제17권4호
    • /
    • pp.18-27
    • /
    • 2023
  • 본 논문에서는 열해석의 하중조건으로 레이저 열원을 설정하여 반사경의 구조-열-광학 성능 분석을 수행하였다. 레이저 열원 모델은 가우시안 빔을 바탕으로 반투명한 소재를 고려한 Beer-Lambert 법칙을 적용하여 하중조건으로 선정하였으며, 반사경만의 성능 분석을 위하여 기구부는 고려하지 않았다. 열변형해석을 수행하여 반사경 표면의 온도 변화로 인한 열응력과 열변형 데이터를 얻었다. 열변형에 의한 반사경 표면의 변위 데이터를 Zernike 다항식에 피팅하여 파면오차를 계산하였으며, 이를 통해 고에너지 레이저가 반사경으로 입사될 때 반사경의 광학 성능을 예측할 수 있었다.