• 제목/요약/키워드: The Boltzmann equation

검색결과 219건 처리시간 0.034초

미소평판 주위의 저속 유동장 해석 (Numerical Simulation of Low-Speed Gas Flows Around a Micro-Plate)

  • 정찬홍
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2004년도 춘계 학술대회논문집
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    • pp.106-112
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows around a micro-plate. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. The method does not suffer from statistical noise which is common in particle based methods and requires much less amount of computational effort. Calculations are made for flows around a micro-scale flat plate with a finite length of 20 microns. The method is assessed by comparing the results with those from several different methods and available experimental data.

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평판 주위의 저속 희박기체 유동장 해석 (Simulation of Low-Speed Rarefied Gas Flows Around a Flat Plate)

  • 정찬홍
    • 한국전산유체공학회지
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    • 제9권3호
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    • pp.1-7
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    • 2004
  • A kinetic theory analysis is made of low-speed rarefied gas flows around a flat plate. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. The method does not suffer from statistical noise which is common in particle based methods and requires much less amount of computational effort. Calculations are made for flows around a micro-scale flat plate with a finite length of 20 microns. The method is assessed by comparing the results with those from several different methods and available experimental data.

점성 및 비점성 유동장 해석을 위한 BGK 수치기법의 효율적 계산 (Efficient Calculation of Gas-kinetic BGK scheme for Analysis of Inviscid and Viscous Flows)

  • 채동석;김종암;노오현
    • 한국전산유체공학회지
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    • 제3권2호
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    • pp.65-72
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    • 1998
  • From the Boltzmann equation with BGK approximation, a gas-kinetic BGK scheme is developed and methods for its efficient calculation, using the convergence acceleration techniques, are presented in a framework of an implicit time integration. The characteristics of the original gas-kinetic BGK scheme are improved in order for the accurate calculation of viscous and heat convection problems by considering Osher's linear subpath solutions and Prandtl number correction. Present scheme applied to various numerical tests reveals a high level of accuracy and robustness and shows advantages over flux vector splittings and Riemann solver approaches from Euler equations.

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우성형 중성자 수송방정식을 이용한 광첨두현상 감소 및 제거

  • 노태완
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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    • pp.173-178
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    • 1996
  • 특정한 방향성분에 대한 방향중성자속을 정의하는 방향차분 수송 방정식(discrete ordinates or S$_{N}$ transport equation)과 달리 방향변수를 구분된 방향영역에 대하여 적분하고, 해당 방향영역 내에서의 방향중성자속이 일정하다고 가정하는 영역상수법(piecewise constant method)을 이용하여 유사방향차분방정식(discrete ordinates-like equation)을 유도하여, 이를 Boltzmann 수송식과 2계 우성수송식(even-parity transport equation)에 적용하여 기존의 방향차분법의 단점인 광첨두현상(ray effects)을 감소시키고, 우성수송식의 교차미분항을 제거한 단순우성방정식(simplified even-parity equation)을 사용하여 광첨두현상을 제거하였다. 이는 단순우성방정식의 또 다른 장점을 제시한다.

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Modeling of Degenerate Quantum Well Devices Including Pauli Exclusion Principle

  • 이은주
    • 대한전자공학회논문지SD
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    • 제39권2호
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    • pp.14-26
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    • 2002
  • Pauli 배타 원리를 적용한 축퇴 상태의 양자 우물 소자 모델링을 제안하였다. 양자 우물에서의 다중 에너지 부준위 각각에 대한 Boltzmann 방정식의 collision 항들을 Pauli 배타 원리를 적용하여 전개하고 이들을 Schrodinger 방정식과 Poisson 방정식과 결합하여 비선형적인 시스템의 모델을 설정하였다. 시스템의 해를 직접적으로 구하기 위하여 유한 차분법과 Newton-Raphson method를 적용하여 양자 우물의 다중 에너지 부준위 각각에 대한 캐리어 분포 함수를 구하였다. Si MOSFET의 inversion 영역에 본 모델을 적용하여 전자 밀도의 증가에 따라 양자 우물의 에너지 분포 함수가 Boltzmann 분포 함수의 형태로부터 Fermi-Dirac 분포 함수의 형태로 변화함을 제시하고, 소자 크기가 감소할수록 소자 모델링에 있어서의 Pauli 배타 원리의 중요성과 함께 본 모델의 정당함과 그 해석 방법의 효율성을 보여주었다.

다중완화시간 가상경계볼쯔만법을 이용한 실린더 주위의 난류유동해석 (NUMERICAL STUDY ON TURBULENT FLOW OVER CYLINDER USING IMMERSED BOUNDARY LATTICE BOLTZMANN METHOD WITH MULTI RELAXATION TIME)

  • 김형민
    • 한국전산유체공학회지
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    • 제15권2호
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    • pp.21-27
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    • 2010
  • Immersed boundary lattice Boltzmann method (IBLBM) has been applied to simulate a turbulent flow over circular cylinder in a flow field effectively. Although IBLBM is very effective method to simulate the flow over a complex shape of obstacle in the flow field regardless of the constructed grids in the calculation domain, the results, however, become numerically unstable in high reynolds number flow. The most effective suggestion to archive the numerical stability in high Reynolds number flow is applying the multiple relaxation time (MRT) model instead of single relaxation time(SRT) model in the collision term of lattice Boltzmann equation. In the research MRT model for IBLBM was introduced and comparing the numerical results obtained by applying SRT and MRT. The hydraulic characteristic of cylinder in a flow field between two parallel plate at the range of $Re{\leqq}2000$represented and it is also compared the drag and lifting coefficients of the cylinder calculated by IBLBM with SRT and MRT model.

Analysis of Airflow Pattern and Particle Dispersion in Enclosed Environment Using Traditional CFD and Lattice Boltzmann Methods

  • Inoguchi, Tomo;Ito, Kazuhide
    • 국제초고층학회논문집
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    • 제1권2호
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    • pp.87-97
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    • 2012
  • The indoor environments in high-rise buildings are generally well enclosed by defined boundary conditions. Here, a numerical simulation method based on the Lattice Boltzmann method (LBM), which aims to model and simulate the turbulent flow accurately in an enclosed environment, and its comparison with traditional computational fluid dynamics (CFD) results, are presented in this paper. CFD has become a powerful tool for predicting and evaluating enclosed airflows with the rapid advance in computer capacity and speed, and various types of CFD turbulence modeling and its application and validation have been reported. The LBM is a relatively new method; it involves solving of the discrete Boltzmann equation to simulate the fluid flow with a collision model instead of solving Navier-Stokes equations. In this study, the LBM-based scheme of flow pattern and particle dispersion analyses are validated using the benchmark test case of two- and three-dimensional and isothermal conditions (IEA/Annex 20 case); the prediction accuracy and advantages are also discussed by comparison with the results of CFD.