• 제목/요약/키워드: source terms

검색결과 1,679건 처리시간 0.027초

A History of Researches of a Nonlinear Wave Equation with Jumping Nonlinearity

  • Park, Q-Heung;Tacksun Jung
    • 한국수학사학회지
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    • 제15권2호
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    • pp.141-160
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    • 2002
  • We investigate the history of the research of the existence of periodic solutions of a nonlinear wave equation with jumping nonlinearity, suggested by Mckenna and Lazer (cf. [15]). We also investigate the recent research of it; a relation between multiplicity of solutions and source terms of the equation when the nonlinearity -($bu^+$-$au^-$) crosses eigenvalues and the source term f is generated by eigenfuntions.

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Unsplit 기법을 적용한 흐름율과 생성항의 처리기법 (Handling Method for Flux and Source Terms using Unsplit Scheme)

  • 김병현;한건연;김지성
    • 한국수자원학회논문집
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    • 제42권12호
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    • pp.1079-1089
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    • 2009
  • 본 연구에서는 마른하도 및 복잡한 지형에서의 파의 전파와 같은 수공학 분야에서 해결하기 어려운 문제를 해석하기 위한 고정확도 2차원 수치모형을 개발하기 위해, unsplit 유한체적기법과 HLLC Riemann 해법을 이용한 흐름율 계산으로 쌍곡선형 적분 보존형의 2차원 천수방정식을 해석하였다. Unsplit 기법의 적용을 위해 하상경사항은 발산정리를 이용하여 이산화한 형태를 적용하였으며, 흐름율과 생성항의 균형을 이루기 위해 수면경사법을 시간과 공간에 대해 2차정확도를 가지는 MUSCL 기법과 연계하였다. 그리고 적용한 생성항 처리기법과 흐름율과의 보존특성이 만족함을 보였다. 2차정확도의 사용으로 불연속 지점에서 발생할 수 있는 수치진동을 제거하기 위해서 경사제한자를 사용한 TVD 기법을 적용하였다. 개발모형을 정확해가 존재하는 생성항이 없는 1차원 댐 붕괴 흐름에 적용하여 흐름율 계산의 정확성을 검증하였고, 하상융기를 가진 하도의 정상류 및 천이류 모의를 통해 개발모형의 보존특성을 검증하였으며, 하상경사 및 단면의 확대/축소구간이 존재하는 2차원 댐 붕괴 흐름에 적용하여 개발모형의 적용성을 검증하였다.

Riemann 해법을 이용한 1차원 개수로 수리해석Ⅰ: 모형 개발 (One-dimensional Hydraulic Modeling of Open Channel Flow Using the Riemann Approximate Solver I : Model Development)

  • 김지성;한건연
    • 한국수자원학회논문집
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    • 제41권8호
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    • pp.761-772
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    • 2008
  • 본 연구의 목적은 수공학 분야에서 수치해석이 난해한 문제를 해결하기 위한 모형을 개발하고, 해석해가 존재하는 다양한 수치실험, 즉 하상과 하폭이 함께 변하는 점변부정류 조건에서의 검증, 하상경사가 변화하는 세가지 정상상태 조건의 문제, 그리고 해석해가 있는 마찰하상에 적용함으로써 개발된 모형의 적용성을 검증하기 위한 것이다. 모형의 지배방정식은 보존 법칙을 만족하는 Saint-Venant 적분형 방정식이며, Riemann 해법에 의한 유한체적법이 사용되었다. 질량 및 운동량의 흐름율 계산에 HLL Riemann 근사해법이 사용되었고, 시간-공간에서 2차정확도를 위하여 MUSCL-Hancock 기법이 사용되었다. 본 연구에서는 비선형의 흐름율과 생성항과의 균형을 위하여, 중력과 흐름방향 하폭의 변화로 인한 정수압력에 의한 생성항을 차분하는 새롭고 간편한 기법을 소개하였다. 수치실험 모의결과는 개발된 모형이 생성항을 포함한 다양한 흐름조건에서 정확하고, 견고하며, 매우 안정적임을 보여주고, 또한 수공학 분야에서 일차원 적용에 적합한 모형임을 보여준다.

『황제내경(黃帝內經) · 소문(素問)』에 수록된 오장원혈침법(五臟原穴鍼法)의 적응증 선별 연구 (Study on the Selecting Indications of Five Viscera Source Point Acupunture in Suwen(素問))

  • 김진우;김태규;이주희;백진웅
    • 대한한의학원전학회지
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    • 제26권4호
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    • pp.23-42
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    • 2013
  • Objective : This study was conducted to sort the five viscera symptoms which can be applied to Five Viscera Source Point Acupuncture, based on Suwen(素問). Method : 1. We selected and analyzed the sentences from Suwen, which included the five viscera symptoms. And then we sorted the five viscera symptoms which can be applied to Five Viscera Source Point Acupuncture. 2. These words - 'Liver', 'Heart', 'Spleen', 'Lung', 'Kidney', 'Reverting yin(厥陰)', 'Lesser yin(少陰)', 'Greater yin(太陰)', 'First Yin', 'Second Yin', 'Third Yin', 'Pericardium' and 'Extreme yin' - were used as search terms. Result & Conclusion : Forty-three symptoms of liver which can be applied to Five Viscera Source Point Acupuncture were extracted, twenty-one symptoms of heart, twenty-five symptoms of spleen, twenty-eight symptoms of lung, and forty symptoms of kidney.

Verification of a tree canopy model and an example of its application in wind environment optimization

  • Yang, Yi;Xie, Zhuangning;Tse, Tim K.T.;Jin, Xinyang;Gu, Ming
    • Wind and Structures
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    • 제15권5호
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    • pp.409-421
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    • 2012
  • In this paper, the method of introducing additional source/sink terms in the turbulence and momentum transport equations was applied to appropriately model the effect of the tree canopy. At first, the new additional source term for the turbulence frequency ${\omega}$ equation in the SST k-${\omega}$ model was proposed through theoretical analogy. Then the new source/sink term model for the SST k-${\omega}$ model was numerically verified. At last, the proposed source term model was adopted in the wind environment optimal design of the twin high-rise buildings of CABR (China Academy of Building Research). Based on the numerical simulations, the technical measure to ameliorate the wind environment was proposed. Using the new inflow boundary conditions developed in the previous studies, it was concluded that the theoretically reasonable source term model of the SST k-${\omega}$ model was applicable for modeling the tree canopy flow and accurate numerical results are obtained.

Neutron Calibration Field of a Bare 252Cf Source in Vietnam

  • Le, Thiem Ngoc;Tran, Hoai-Nam;Nguyen, Khai Tuan;Trinh, Giap Van
    • Nuclear Engineering and Technology
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    • 제49권1호
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    • pp.277-284
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    • 2017
  • This paper presents the establishment and characterization of a neutron calibration field using a bare $^{252}Cf$ source of low neutron source strength in Vietnam. The characterization of the field in terms of neutron flux spectra and neutron ambient dose equivalent rates were performed by Monte Carlo simulations using the MCNP5 code. The anisotropy effect of the source was also investigated. The neutron ambient dose equivalent rates at three reference distances of 75, 125, and 150 cm from the source were calculated and compared with the measurements using the Aloka TPS-451C neutron survey meters. The discrepancy between the calculated and measured values is found to be about 10%. To separate the scattered and the direct components from the total neutron flux spectra, an in-house shadow cone of 10% borated polyethylene was used. The shielding efficiency of the shadow cone was estimated using the MCNP5 code. The results confirmed that the shielding efficiency of the shadow cone is acceptable.

Influence of Device Parameters Spread on Current Distribution of Paralleled Silicon Carbide MOSFETs

  • Ke, Junji;Zhao, Zhibin;Sun, Peng;Huang, Huazhen;Abuogo, James;Cui, Xiang
    • Journal of Power Electronics
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    • 제19권4호
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    • pp.1054-1067
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    • 2019
  • This paper systematically investigates the influence of device parameters spread on the current distribution of paralleled silicon carbide (SiC) MOSFETs. First, a variation coefficient is introduced and used as the evaluating norm for the parameters spread. Then a sample of 30 SiC MOSFET devices from the same batch of a well-known company is selected and tested under the same conditions as those on datasheet. It is found that there is big difference among parameters spread. Furthermore, comprehensive theoretical and simulation analyses are carried out to study the sensitivity of the current imbalance to variations of the device parameters. Based on the concept of the control variable method, the influence of each device parameter on the steady-state and transient current distributions of paralleled SiC MOSFETs are verified separately by experiments. Finally, some screening suggestions of devices or chips before parallel-connection are provided in terms of different applications and different driver configurations.

Incorporation of anisotropic scattering into the method of characteristics

  • Rahman, Anisur;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • 제54권9호
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    • pp.3478-3487
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    • 2022
  • In this study, we incorporate an anisotropic scattering scheme involving spherical harmonics into the method of characteristics (MOC). The neutron transport solution in a light water reactor can be significantly improved because of the impact of an anisotropic scattering source with the MOC flat source approximation. Several problems are selected to verify the proposed scheme and investigate its effects and accuracy. The MOC anisotropic scattering source is based on the expansion of spherical harmonics with Legendre polynomial functions. The angular flux, scattering source, and cross section are expanded in terms of the surface spherical harmonics. Later, the polynomial is expanded to achieve the odd and even parity of the source components. Ultimately, the MOC angular and scalar fluxes are calculated from a combination of two sources. This paper presents various numerical examples that represent the hot and cold conditions of a reactor core with boron concentration, burnable absorbers, and control rod materials, with and without a reflector or baffle. Moreover, a small critical core problem is considered which involves significant neutron leakage at room temperature. We demonstrate that an anisotropic scattering source significantly improves solution accuracy for the small core high-leakage problem, as well as for practical large core analyses.

A spent nuclear fuel source term calculation code BESNA with a new modified predictor-corrector scheme

  • Duy Long Ta ;Ser Gi Hong ;Dae Sik Yook
    • Nuclear Engineering and Technology
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    • 제54권12호
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    • pp.4722-4730
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    • 2022
  • This paper introduces a new point depletion-based source term calculation code named BESNA (Bateman Equation Solver for Nuclear Applications), which is aimed to estimate nuclide inventories and source terms from spent nuclear fuels. The BESNA code employs a new modified CE/CM (Constant Extrapolation - Constant Midpoint) predictor-corrector scheme in depletion calculations for improving computational efficiency. In this modified CE/CM scheme, the decay components leading to the large norm of the depletion matrix are excluded in the corrector, and hence the corrector calculation involves only the reaction components, which can be efficiently solved with the Talyor Expansion Method (TEM). The numerical test shows that the new scheme substantially reduces computing time without loss of accuracy in comparison with the conventional scheme using CRAM (Chebyshev Rational Approximation Method), especially when the substep calculations are applied. The depletion calculation and source term estimation capability of BESNA are verified and validated through several problems, where results from BESNA are compared with those calculated by other codes as well as measured data. The analysis results show the computational efficiency of the new modified scheme and the reliability of BESNA in both isotopic predictions and source term estimations.

계면마찰항을 고려한 이상유동에서 파동전파에 대한 수치적 연구 (TWO-PHASE WAVE PROPAGATIONS PREDICTED BY HLL SCHEME WITH INTERFACIAL FRICTION TERMS)

  • 염금수;장근식;정문선
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.115-119
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    • 2009
  • We numerically investigated propagation of various waves in the two-phase flows such as sound wave, shock wave, rarefaction wave, and contact discontinuity in terms of pressure, void fraction, velocity and density of the two phases. The waves have been generated by a hydrodynamic shock tube, a pair of symmetric impulsive expansion, impulsive pressure and impulsive void waves. The six compressible two-fluid two-phase conservation laws with interfacial friction terms have been solved in two fractional steps. The first PDE Operator is solved by the HLL scheme and the second Source Operator by the semi-implicit stiff ODE solver. In the HLL scheme, the fastest wave speeds were estimated by the analytic eigenvalues of an approximate Jacobian matrix. We have discussed how the interfacial friction terms affect the wave structures in the numerical solution.

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