• Title/Summary/Keyword: transport equation

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Impact of Secondary Currents on Solute Transport in Open-Channel Flows over Smooth-Rough Bed Strips (조(粗)·세립상(細粒床)의 연속구조를 갖는 개수로 흐름에서 오염물질 수송에 대한 이차흐름 영향 분석)

  • Kang, Hyeongsik;Choi, Sung-Uk;Kim, Kyu-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.1B
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    • pp.73-81
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    • 2009
  • This paper presents a numerical investigation of the impact of the secondary currents on solute transport in open-channel flows. The RANS model with Reynolds stress model is used for flow modeling, and the GGDH(generalized gradient diffusion hypothesis) model is used to close the scalar transport equation. Using the developed model, the impact of secondary currents on solute transport in open channel flows over smooth-rough strip is investigated. Through numerical experiments, the secondary currents are found to affect the solute spreading, leading a movement of the position of the peak concentration and a skewed distribution of solute concentration. Due to the lateral flow of secondary currents near the free surface, the concentration at the rough strip is found to be larger than that at the smooth strip bed. The solute at the rough strip is more rapidly transported than smooth bed. A magnitude analysis of the solute transport rate in scalar transport equation is also carried out to investigate the effect of secondary currents and scalar flux on the concentration distribution.

Evaluation of Accuracy of Aeolian Velocity Measurement Using Image Analysis (이미지 분석을 이용한 비사 이동속도 측정 정확도 평가)

  • Young-Min Kim;Hosahng Rhew;Hyun-Doug Yoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.6
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    • pp.121-127
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    • 2023
  • Study on Aeolian transport began in 1941 when Bagnold first conducted a study on aeolian transport in desert conditions. Aeolian transport study was mainly conducted on deserts, and the field of coastal engineering began with the application of Bagnold's equation to the coast after 1980. However, many studies have shown that using the Bagnold equation on the coast overestimates the amount of aeolian transport. Currently, aeolian trap using various sensors ranging from simple forms have been developed and are being used in study. However, these aeolian traps have the disadvantage that there is a large difference in performance for each trap. In addition, in the case of existing traps, analysis is performed only on the amount of sand collected, and quantitative analysis of sand transport velocity or concentration is difficult. Therefore, in this study, we use image analysis techniques to evaluate the accuracy of aeolian transport velocity measurement and suggest a method that can be used in the study.

A radial point interpolation method for 1D contaminant transport modelling through landfill liners

  • Praveen Kumar, R.;Dodagoudar, G.R.
    • Geomechanics and Engineering
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    • v.2 no.2
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    • pp.141-156
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    • 2010
  • In the framework of meshfree methods, a new methodology is developed based on radial point interpolation method (RPIM). This methodology is applied to a one-dimensional contaminant transport modelling in the saturated porous media. The one-dimensional form of advection-dispersion equation involving reactive contaminant is considered in the analysis. The Galerkin weak form of the governing equation is formulated using 1D meshfree shape functions constructed using thin plate spline radial basis functions. MATLAB code is developed to obtain the numerical solution. Numerical examples representing various phenomena, which occur during migration of contaminants, are presented to illustrate the applicability of the proposed method and the results are compared with those obtained from the analytical and finite element solutions. The proposed RPIM has generated results with no oscillations and they are insensitive to Peclet constraints. In order to test the practical applicability and performance of the RPIM, three case studies of contaminant transport through the landfill liners are presented. A good agreement is obtained between the results of the RPIM and the field investigation data.

Numerical Analysis of Beach Erosion Due to Severe Storms (폭풍에 의해 발생하는 해빈침식에 대한 수치해석)

  • 조원철;표순보
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.1
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    • pp.19-26
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    • 2000
  • A numerical model is applied for predicting two-dimensional beach and dune erosion during severe storms. The model uses equation of sediment continuity and dynamic equation, governing the on-offshore sediment transport due to a disequilibrium of wave energy dissipation. And the model also uses sediment transport rate parameter K from dimensional analysis instead of that recommended by Kriebel. During a storm, a beach profile evolves to a form where the depth at the surf zone is related to the distance seaward of the waterline. In general, the erosion in the beach profile is found to be sensitive to equilibrium profile parameter, sediment transport rate parameter, storm surge level and breaking wave height.

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An hp-angular adaptivity with the discrete ordinates method for Boltzmann transport equation

  • Ni Dai;Bin Zhang;Xinyu Wang;Daogang Lu;Yixue Chen
    • Nuclear Engineering and Technology
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    • v.55 no.2
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    • pp.769-779
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    • 2023
  • This paper describes an hp-angular adaptivity algorithm in the discrete ordinates method for Boltzmann transport applications with strong angular effects. This adaptivity uses discontinuous finite element quadrature sets with different degrees, which updates both angular mesh and the degree of the underlying discontinuous finite element basis functions, allowing different angular local refinement to be applied in space. The regular and goal-based error metrics are considered in this algorithm to locate some regions to be refined. A mapping algorithm derived by moment conservation is developed to pass the angular solution between spatial regions with different quadrature sets. The proposed method is applied to some test problems that demonstrate the ability of this hp-angular adaptivity to resolve complex fluxes with relatively few angular unknowns. Results illustrate that a reduction to approximately 1/50 in quadrature ordinates for a given accuracy compared with uniform angular discretization. This method therefore offers a highly efficient angular adaptivity for investigating difficult particle transport problems.

CRX: A Characteristic Transport Theory Code for Cell and Assembly Calculations in Reactor Core Design

  • Cho, Nam-Zin;Hong, Ser-Gi
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.10a
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    • pp.85-90
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    • 1995
  • A characteristic transport theory code CRX is developed and tested for cell and assembly calculations. Since the characteristic method treats explicitly (analytically) the streaming portion of the transport equation, CRX treats strong absorbers well and has no practical limitations placed on the geometry of the problem. To test the code, it was applied to three benchmark problems which consist of complex meshes and compared with other codes.

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A Study on the Electron Transport Coefficients in Hydrogen Molecular ($H_2$의 전자 수송 계수에 관한 연구)

  • Park, Eun-Joo;Jeon, Byung-Hoon
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1402_1403
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    • 2009
  • The electron transport coefficients in hydrogen molecular is calculated over the range of E/N values from 0.01 to 300 Td and at temperature state of 77K, 293K and 300K by Boltzmann equation method. The results gained that the values of the electron transport coefficients such as the electron drift velocity, the electron ionization coefficients, longitudinal diffusion coefficients consisted with the results of measured and calculated for a ranage of E/N.

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A New Acceleration Method of Additive Angular Dependent Rebalance with Extrapolation for Discrete Ordinates Transport Equation

  • Park, Chang-Je;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.34 no.4
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    • pp.314-322
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    • 2002
  • A new extrapolation method is developed and applied to the additive angular dependent rebalance (AADR) acceleration for discrete ordinates neutron transport calculations. With this extrapolation, the convergence of AADR solution for distinct discretizations between the high- order and low-order equations is remarkably improved and thus the “inconsistent discretization problem” is resolved. Fourier analysis is also performed to find the optimal extrapolation and weighting parameters, which give the smallest spectral radius. The numerical tests demonstrate that the AADR with extrapolation works well as predicted by the Fourier analysis.

The AC loss of 22.9kV/50MVA High-Tc Superconducting Power Cable (22.9kV/50MVA급 고온초전도 전력케이블의 교류손실)

  • Choi, Suk-Jin;Lee, Sang-Jin;Sim, Ki-Deok;Cho, Jeon-Wook;Lee, Soo-Gil;Yang, Byeong-Mo;Yoon, Hyung-Hee
    • Progress in Superconductivity and Cryogenics
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    • v.11 no.3
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    • pp.31-34
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    • 2009
  • An HTS power cable is generally composed of 2 layers for conducting and 1 layer for shielding. For the analysis of AC loss of an HTS power cable, 2-dimensional magnetic field analysis is carried out. The magnetization loss in HTS cable core was calculated, and the transport current loss was obtained from the monoblock equation and the elliptical Norris Equation. And the total AC loss of the cable was expected by the sum of magnetization loss and transport current loss. The variation of ac loss with respect to the gap and uncertain factor between the superconducting tapes was investigated, and the ac loss of 22.9kV/50MVA high-Tc superconducting power cable was calculated. These results well agree with those of experiment.