• 제목/요약/키워드: Gradient Diffusion Theory

검색결과 10건 처리시간 0.027초

2차원 종형 언덕 주위의 유동 및 확산현상에 관한 수치해석 연구 (Numerical Simulations of the Flowfield and Pollutant Dispersion over 2-D Bell-Shaped Hills)

  • 박근;박원규
    • 한국전산유체공학회지
    • /
    • 제3권1호
    • /
    • pp.63-72
    • /
    • 1998
  • The numerical simulations of flowfield and pollutant dispersion over two-dimensional hills of various shapes are described. The Reynolds-averaged Wavier-Stokes equations and concentration diffusion equation based on the gradient diffusion theory have been applied to the atmospheric shear flow over the bell-shaped hills which are basic components of the complex terrain. The flow characteristics such as velocity profiles of the geophysical boundary layer, speed-up phenomena, mean pollutant concentration profiles are compared with experimental data to validate the present numerical procedure and it has been found that the present numerical results agree well with experiments and other numerical data. It has been also found that the distributions of ground level concentration are strongly influenced by the source location and height.

  • PDF

단단한 종양 안에 수동 조준된 약물의 전달에 관한 확산에 기초한 모델 이론 (A Diffusion-based Model Theory of Passive-Targeted Drug Delivery in Solid Tumors)

  • 최준혁;강남룡;최상돈
    • 한국의학물리학회지:의학물리
    • /
    • 제18권3호
    • /
    • pp.161-166
    • /
    • 2007
  • 공모양의 단단한 종양안에서 수동조준된 약물의 전달에 관한 모델이론이 적절한 경계조건과 초기조건하에서 픽의 확산법칙으로부터 유도된다. 종양안의 농도는 초기값이 일정하면 시간과 지름의 함수로 나타난다. 생각실험(사고실험)으로부터 예측되는 바와 같이, 농도는 시간이 경과함에 따라 평형값에 접근한다. 시간에 따른 농도의 변화는 조직안의 약물의 확산계수, 종양의 크기, 주입된 약물의 양, 경계면에서의 농도의 물매(gradient)에 의해 결정된다.

  • PDF

산지 내 오염물질 확산의 2차원 수치해석 (Numerical Analysis of the Two-Dimensional Pollutant Dispersion Over Hilly Terrain)

  • 김현구;이정묵
    • 한국대기환경학회지
    • /
    • 제13권5호
    • /
    • pp.383-396
    • /
    • 1997
  • Numerical prediction of the pollutant dispersion over a two-dimensional hilly terrain is presented. The dispersion model used in the present work is based on the gradient diffusion theory and the finite-volume method on a non-orthogonal boundary-fitted grid system. The numerical model is validated by comparing the results with the available experimental data for the flat-floor dispersion within a turbulent boundary-layer. The numerical error analysis is performed based on the guideline of Kasibhatla et al.(1988) for the elevated-source dispersion in the flat-floor boundary layer having a power-law velocity and linear eddy-diffusivity profile. The influences of the two-dimensional hilly terrain on the dispersion from a continuously released source are numerically investigated by changing the emission locations and heights. It is found that the distributions of ground-level concentration are strongly influenced by the source location and the emission height. Hence, the terrain amplification factor is greatly enhanced when the pollutant source is located within a flow separation region. Dispersion from a source of short duration is also simulated and the duration time of the pollutant is compared at several downstream locations on a hilly terrain. The results of the numerical prediction are applied to the evaluation of environmental impacts due to the automobile exhausts at the seashore highway with a parallel mountain range.

  • PDF

Theory of Diffusion-Influenced Bimolecular Reactions in Solution : Effects of a Stochastic Gating Mode

  • Kim Joohyun;Lee Sangyoub
    • Bulletin of the Korean Chemical Society
    • /
    • 제13권4호
    • /
    • pp.398-404
    • /
    • 1992
  • We have investigated the kinetics of diffusion-influenced bimolecular reactions in which one reactant has an internal mode, called the gating mode, that activates or deactivates its reactivity intermittently. The rate law and an expression for the time-dependent rate coefficient have been obtained from the general formalism based on the hierarchy of kinetic equations involving reactant distribution functions. The analytic expression obtained for the steady-state reaction rate constant coincides with the one obtained by Szabo et al., who derived the expression by employing the conventional concentration-gradient approach. For the time-dependent reaction rate coefficient, we obtained for the first time an exact analytic expression in the Laplace domain which was then inverted numerically to give the time-domain results.

부모의 사회경제적 위치에 따른 자녀의 출생 성비 추이: 1981년부터 2004년까지 (Trends in Sex Ratio at Birth according to Parental Social Positions: Results from Vital Statistics Birth, 1981-2004 in Korea)

  • 천희란;김일호;강영호
    • Journal of Preventive Medicine and Public Health
    • /
    • 제42권2호
    • /
    • pp.143-150
    • /
    • 2009
  • Objectives : South Korea has experienced unprecedented ups and downs in the sex ratio at birth(SRB), which has been a unique phenomenon in the last two decades. However, little is known about socioeconomic factors that influence the SRB. Employing the diffusion theory by Rogers, this study was undertaken to examine the trends in social variations in the SRB from 1981 to 2004 in Korea. Methods : The data was taken from Vital Birth Statistics for the period from 1981-2004. We computed the annual male proportion of live births according to the parental education(university, middle/high school, primary) and occupation(non-manual, manual, others). Logistic regression analysis was employed to estimate the odds ratios of male birth according to social position for the equidistant three time periods(1981-1984, 1991-1994, and 2001-2004). Results : An increased SRB was detected among parents with higher social position before the mid 1980s. Since then, however, a greater SRB was found for the less educated and manual jobholders. The inverse social gradient for the SRB was most prominent in early 1990s, but the gap has narrowed since the late 1990s. The mother's socioeconomic position could be a sensitive indicator of the social variations in the sex ratio at birth. Conclusions : Changes in the relationship of parental social position with the SRB were detected during the 1980-2004 in Korea. This Korean experience may well be explained by diffusion theory, suggesting there have been socioeconomic differences in the adoption and spread of sex-detection technology.

사각 건물 주위의 오염물 확산에 대한 수치해석적 연구 (Simulations of Pollutant Dispersion over Rectangular Building)

  • 홍보영;박찬국
    • 한국전산유체공학회지
    • /
    • 제6권4호
    • /
    • pp.1-7
    • /
    • 2001
  • Wind flow perturbations, recirculations and turbulence generated by buildings often dominate air pollutant distributions around buildings. This paper describes dispersion of contaminants in the vicinity of a building by solving the concentration equation based on previously simulated wind flow field. Turbulence closure is achieved by using the standard k-ε two-equation model. The paper shows application of the CIP method for solving a species concentration equation of contaminant gas around a rectangular building for two different sources under conditions of neutral atmospheric stratification. Results have been compared to the experimental data and the previous numerical results by hybrid scheme. The computational results of concentration profiles by the CIP method agree well with experimental data.

  • PDF

CIP 방법을 이용한 건물 주위의 오염물 확산에 대한 수치해석 (Numerical Simulations of Using CIP Method for Dispersion of Pollutants around a Building)

  • 홍보영;박찬국
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집B
    • /
    • pp.723-728
    • /
    • 2001
  • Wind flow perturbations, recirculations and turbulence generated by buildings often dominate air pollutant distributions around buildings. This paper describes dispersion of contaminants in the vicinity of a building by solving the concentration equation based on previously simulated wind flow field. Turbulence closure is achieved by using the standard k-e two-equation model. The paper shows application of the CIP method for solving a species concentration equation of contaminant gas around a rectangular building for two different sources under conditions of neutral atmospheric stratification. Results have been compared to the experimental data and the previous numerical results by hybrid scheme. The computational results of concentration profiles by the CIP method agree well with experimental data.

  • PDF

삼중대각행렬 시스템 풀이의 빠른 GPU 구현 (Fast GPU Implementation for the Solution of Tridiagonal Matrix Systems)

  • 김영희;이성기
    • 한국정보과학회논문지:시스템및이론
    • /
    • 제32권11_12호
    • /
    • pp.692-704
    • /
    • 2005
  • 컴퓨터 하드웨어의 급속한 발전으로 그래픽 프로세서 유닛(Graphics Processor Units : GPUs)은 굉장한 메모리 대역폭과 산술 능역을 보유하게 되어 범용 계산에 많이 활용되고 있으며, 특히 계산 집약적인 물리 기반 시뮬레이션(physics based simulation)의 GPU 구현이 활발하게 연구되고 있다. 물리 기반 시뮬레이션의 기본이 되는 미분방정식 풀이 과정에서 삼중대각행렬(tridiagonal matrix) 시스템은 유한차분(finite-difference) 근사에 의해서 자주 나타나는 선형시스템으로 물리 기반 시뮬레이션 관점에서 삼중대각행렬 시스템의 빠른 풀이는 중요한 연구 분야이다. 본 논문에서는 GPU에서 삼중대각행렬 시스템 풀이를 빠르게 구현할 수 있는 방법을 제안한다. 벡터 프로세서(vector processor) 계산에서 삼중대각행렬 시스템 풀이 방법으로 널리 사용되는 cyclic reduction 또는 odd-even reduction 알고리즘을 GPU에서 구현하였다. 본 논문에서 제안한 방법을 삼중대각행렬 시스템 풀이 방법으로 잘 알려져 있는 Thomas 방법과 GPU를 이용한 선형시스템 풀이에서 좋은 성과를 보이고 있는 conjugate gradient 방법과 비교할 때 상당한 성능 향상을 얻을 수 있었다. 또한, 열전도(heat conduction) 방정식, 이류 확산(advection-diffusion) 방정식, 얕은 물(shallow water) 방정식에 의한 물리 기반 시뮬레이션의 GPU 구현에 본 논문에서 제안한 방법을 사용하여 1024x1024 격자의 계산 영역에서 초당 35프레임 이상의 놀라운 성능을 보여주었다.

Numerical Simulation of Buoyant flume Dispersion in a Stratified Atmosphere Using a Lagrangian Stochastic Model

  • Kim, Hyun-Goo;Noh, Yoo-Jeong;Lee, Choung-Mook;Park, Don-Bum
    • Journal of Mechanical Science and Technology
    • /
    • 제17권3호
    • /
    • pp.440-448
    • /
    • 2003
  • In the present paper, numerical simulations of buoyant plume dispersion in a neutral and stable atmospheric boundary layer have been carride out. A Lagrangian Stochastic Model (LSM) with a Non-Linear Eddy Viscosity Model (NLEVM) for turbulence is used to generate a Reynolds stress field as an input condition of dispersion simulation. A modified plume-rise equation is included in dispersion simulation in order to consider momentum effect in an initial stage of plume rise resulting in an improved prediction by comparing with the experimental data. The LSM is validated by comparing with the prediction of an Eulerian Dispersion Model (EDM) and by the measured results of vertical profiles of mean concentration in the downstream of an elevated source in an atmospheric boundary layer. The LSM predicts accurate results especially in the vicinity of the source where the EDM underestimates the peak concentration by 40% due to inherent limitations of gradient diffusion theory. As a verification study, the LSM simulation of buoyant plume dispersions under a neutral and stable atmospheric condition is compared with a wind-tunnel experiment, which shows good qualitative agreements.

밝기 정보와 곡선전개 기반의 활성 모델 (Intensity Information and Curve Evolution Based Active Contour Model)

  • 김성곤
    • 정보처리학회논문지B
    • /
    • 제10B권5호
    • /
    • pp.521-526
    • /
    • 2003
  • 본 논문에서는 영역의 경계를 추출하기 위해 영상의 밝기 정보와 곡선전개 방식을 이용한 기하 활성 모델을 제안한다. 영역의 경계를 추출하는 문제를 추출한 영역의 평균 밝기 값과 전개중인 폐곡선 영역의 밝기 값의 차론 최소화시키는 것으로 설정한다. 최적의 해를 구하는 방법으로 레벨세트 이론을 적용한 곡선전개 방법을 이용한다. 이 방식은 일반적인 활성 모델에 비해 초기 곡선 설정에 제약이 없고 동시에 여러 영역의 경계 추출이 가능하다. 제안 모델은 에지 정보가 충분치 못한 영상의 경우에도 일반적인 에지 기반 방식에 비해 추출 결과가 양호하였다. 비등방성 확산 필터를 사용하여 영상을 전처리 함으로써 보다 나은 추출이 수행되었다. CT나 MRI 영상을 이용하여 모델의 성능을 확인하였다.