• Title/Summary/Keyword: semi-implicit method

Search Result 102, Processing Time 0.027 seconds

Evaluation of Thermal Stratification Effect in a Long Horizontal Pipeline with Turbulent Natural Convection

  • Park, Man-Heung;Ahn, Jang-Sun;Nam, Seung-Deog
    • Nuclear Engineering and Technology
    • /
    • v.30 no.6
    • /
    • pp.581-591
    • /
    • 1998
  • Numerical analysis was peformed for the two-dimensional turbulent natural convection for a long horizontal line with different end temperatures. The turbulent model has been applied a standard k-$\varepsilon$ two equation model of turbulence similar to that the proposed by the Launder and Spalding. The dimensionless governing equations are solved by using SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm which is developed using control volumes and staggered grids. The numerical results are verified by comparison with the operating PWR test data. The analysis focuses on the effects of variation of the heat transfer rates at the pipe surface, the thermal conductivities of the pipe material and the thickness of the pipe wall on the thermal stratification. The results show that the heat transfer rate at the pipe surface is the controlling parameter for mitigating of thermal stratification in the long horizontal pipe. A significant reduction and disappearance of the thermal stratification phenomenon is observed at the Biot number of 4.82$\times$10$^{-1}$ . The results also show that the increment of the thermal conductivity and thickness of the wall weakens a little the thermal stratification and somewhat reduces temperature gradient of y-direction in the pipe wall. These effects are however minor, when compared with those due to the variation of the heat transfer rates at the surface of the pipe wall.

  • PDF

TAPINS: A THERMAL-HYDRAULIC SYSTEM CODE FOR TRANSIENT ANALYSIS OF A FULLY-PASSIVE INTEGRAL PWR

  • Lee, Yeon-Gun;Park, Goon-Cherl
    • Nuclear Engineering and Technology
    • /
    • v.45 no.4
    • /
    • pp.439-458
    • /
    • 2013
  • REX-10 is a fully-passive small modular reactor in which the coolant flow is driven by natural circulation, the RCS is pressurized by a steam-gas pressurizer, and the decay heat is removed by the PRHRS. To confirm design decisions and analyze the transient responses of an integral PWR such as REX-10, a thermal-hydraulic system code named TAPINS (Thermal-hydraulic Analysis Program for INtegral reactor System) is developed in this study. Based on a one-dimensional four-equation drift-flux model, TAPINS incorporates mathematical models for the core, the helical-coil steam generator, and the steam-gas pressurizer. The system of difference equations derived from the semi-implicit finite-difference scheme is numerically solved by the Newton Block Gauss Seidel (NBGS) method. TAPINS is characterized by applicability to transients with non-equilibrium effects, better prediction of the transient behavior of a pressurizer containing non-condensable gas, and code assessment by using the experimental data from the autonomous integral effect tests in the RTF (REX-10 Test Facility). Details on the hydrodynamic models as well as a part of validation results that reveal the features of TAPINS are presented in this paper.

Analysis of forced convection in the HTTU experiment using numerical codes

  • M.C. Potgieter;C.G. du Toit
    • Nuclear Engineering and Technology
    • /
    • v.56 no.3
    • /
    • pp.959-965
    • /
    • 2024
  • The High Temperature Test Unit (HTTU) was an experimental set-up to conduct separate and integral effects tests of the Pebble Bed Modular Reactor (PBMR) core. The annular core consisted of a randomly packed bed of uniform spheres. Natural convection tests using both nitrogen and helium, and forced convection tests using nitrogen, were conducted. The maximum material temperature achieved during forced convection testing was 1200 ℃. This paper presents the numerical analysis of the flow and temperature distribution for a forced convection test using 3D CFD as well as a 1D systems-CFD computer code. Several modelling approaches are possible, ranging from a fully explicit to a semi-implicit method that relies on correlations of their associated phenomena. For the comparison between codes, the analysis was performed using a porous media approach, where the conduction and radiative heat transfer were lumped together as an effective thermal conductivity and the convective heat transfer was correlated between the solid and gas phases. The results from both codes were validated against the experimental measurements. Favourable results were obtained, in particular by the systems-CFD code with minimal computational and time requirements.

Immersed Boundary Method for numerical Analysis of Bridge Section (가상경계법을 이용한 교량 내풍단면 유동장 수치해석)

  • Kim, Hak Sun;Lee, Sungsu;Nho, Jae Geun
    • 한국방재학회:학술대회논문집
    • /
    • 2011.02a
    • /
    • pp.69-69
    • /
    • 2011
  • 본 논문에서는 비정상 상태의 비압축성 유동장을 해석하기 위하여 물체맞춤격자방법이 아닌 가상경계법을 사용하였다. 가상경계법은 구조격자를 사용하여 구조물 경계면에서 Momentum Forceing을 사용하여 가상의 경계를 만들어 유동장을 해석하는 방법이다. Navier-Stoke 방정식의 수치 이산화 방법으로 Kim et al(1985)이 사용한 Fractional Step Method(FSM)을 사용하였다. 시간에 대하여 semi-implicit FSM를 사용하였고, 확산항에 대해서는 2차 정확도의 Crank-Nicolson Method를 대류항은 3차 정확도의 Runge-Kutta Method를 사용 하였다. 본 연구에서는 가상경계법을 이용한 유동장 해석이 교량 단면에 대하여 수치해석이 가능한지 검토하였다. 가상경계법은 현재 많은 연구가 유선형의 구조물에 대하여 수행되어 오고 있다. 교량 단면과 같은 각 진 구조물에 대한 검토는 아직 미비한 실정이다. 가상경계법에서 다루고 있는 구조물 경계면에서의 Momentum Forcing 방법이 유선형의 구조물에 맞추어 연구가 진행되었기 때문이다. 먼저 본 연구의 프로그램을 검증하기 위하여 원형 실린더에 대하여 가상경계법을 적용한 결과 Re 수 200에서 Strouhal Number, 양력계수, 항력계수를 이전 연구 결과와 비교하였다. Williamson(1988)과 Zhang(1995)의 연구결과와 유사한 결과를 얻을 수 있다. 그리고 교량의 단면과 같은 각진 구조물(Bluff Body)에 대하여 가상경계법 적용하였다. 본 논문의 연구에서 평가 대상으로 하고 있는 2차원 교량 단면에 대하여 유동장 해석을 하였다. 본 논문에서 정량적인 유체력과 유동장에 대한 비교 및 검토가 이루어지지 못했지만 압력장과 유선의 형태가 이론적인 값을 벗어나지 않고 있는 것으로 확인 되었다. Re 수 2700에서 전산 해석을 수행하였으며, 교량 단면 주위의 압력계수와 박리현상 그리고 후류에서의 Vortex shedding 현상이 모두 적절한 분포가 나타나는 것을 확인할 수 있었다. 따라서 가상경계법을 이용하여 각진 구조물에 대한 주위 유동장해석에 대한 가능성을 확인하였으며, 풍동실험과의 결과비교를 통하여 가상경계법을 이용하여 교량 단면 주위의 유동장 해석 결과를 정량적으로 비교할 것이다.

  • PDF

The Change of Nearshore Processes due to the Development of Coastal Zone (연안역 개발에 따른 해안과정의 변화)

  • Lee, J.W.;Lee, S.J.;Lee, H.;Jeong, D.D.
    • Journal of Korean Port Research
    • /
    • v.13 no.1
    • /
    • pp.155-166
    • /
    • 1999
  • The construction of the coastal structures and reclamation work causes the circulation reduced in the semi-closed inner water area and the unbalanced sediment budget of beach results in an alteration of beach topography. Among the various fluid motions in the nearshore zone water particle motion due to wave and wave-induced currents are the most responsible for sediment movement. Therefore it is needed to predict the effect of the environmental change because of development and so the prediction of wave transformation dose. The purpose of this study is to introduce the relation between waves wave-induced currents and sediment movement. In this study we will show numerical method using energy conservation equation involving reflection diffraction and reflection and the surfzone energy dissipation term due to wave breaking is included in the basic equation. For the wave-induced current the momentum equation was combined with radiation stresses lateral mixing and friction Various information is required in the prediction of wave-induced current depending on the prediction tool. We can predict changes in wave-induced current from the distribution of wave especially near the wave breaking zone. To evaluate these quantities we have to know the local condition of waves mean sea level and so on. The results from the wave field and wave-induced current field deformation models are used as input data of the sediment transport and bottom change model. Numerical model were established by a finite difference method then were applied to the development plan of the eastern Pusan coastal zone Yeonhwa-ri and Daebyun fishing port. We represented the result with 2-D graphics and made comparison between before and after development.

  • PDF

A Study on the Change of Current in the Vicinity of Mokpo Harbor and Its Impact on Ship Operation due to the Discharge through Yongsan River Estuary Weir and Yongam-Kumho Sea Dike (영산강 하구둑 및 영암-금호방조제의 방류에 의한 목포항 주변수역의 유동변화 및 선박운용에 미치는 영향에 관한 연구)

  • 정대득;이중우;국승기
    • Journal of Korean Port Research
    • /
    • v.13 no.1
    • /
    • pp.133-146
    • /
    • 1999
  • Mokpo coastal area is connected to the adjacent a long river and two large basins. It is essential for port planning coastal zone management and environmental impact study to analyze the data related to the ship operation and variation of current and water quality due to the development of water area including dredging reclamation and estuary barrage. The Yongsan river estuary weir and Yongam-Kumho basins discharge much of water through water gates for the purpose of flood control and prohibit salt intrusion at the inland fresh water area. To meet this purpose discharge through the gates have been done at the period of maximum water level difference between inner river and sea level. This discharged water may cause the changes of current pattern and other environmental influences in the vicinity and inner area of semi-closed Mokpo harbor. In this study ADI method is applied to the governing equation for the analysis of the changes on current pattern due to discharged water. As the results of this study it is known that the discharging operation causes many changes including the increase of current velocity at the front water area at piers approaching passage and anchorages. Discussion made on the point of problems such as restricted maneuverability and the safety of morred vessels at pier and anchorage. To minimize this influence the linked gate operation discharging warning system and laternative mooring system are recommended.

  • PDF

The Parameter Identification of Tidal Model on The Boundary-Fitted Coordinates (Boundary-Fitted 좌표계로 변환한 2차원조석모형의 매개변수 동정)

  • 김경수;이재형
    • Water for future
    • /
    • v.23 no.3
    • /
    • pp.319-328
    • /
    • 1990
  • The Parameter Identification of 2-demensional estuarine model was carried out using new output ADI-FDM numerical semi-implicit schem transformed in boundary fitted(BF) - coordinate. The hydrodynamic equations which is coupled with the transport equations were used as basic equations in the model. Thompson's equations were used to transform governing equations into rectangular plane equations and his elliptic grid generation scheme was used to generate curvilinear grid system. in BF - coordinates. The parameters to be identified are friction coefficient and disperse coefficient embedded in the governing equations. The numerical output scheme is tidally averaged salinity model in BF - coordinates. The algorithm to optimize norm of error between observations and calculations is the influence coefficinet algorithm associated with least square criterion. The lumped model is conssidered in identification. This paper was concetrated on checking whether the new output scheme might be useful to identify parameters in estuarine salinity model or not. The proposed method was tested through experimental application with hypothetical simple model. The result of the test shows that the proposed method can be used for parameter identification in estuarine model.

  • PDF

Development of a drift-flux model based core thermal-hydraulics code for efficient high-fidelity multiphysics calculation

  • Lee, Jaejin;Facchini, Alberto;Joo, Han Gyu
    • Nuclear Engineering and Technology
    • /
    • v.51 no.6
    • /
    • pp.1487-1503
    • /
    • 2019
  • The methods and performance of a pin-level nuclear reactor core thermal-hydraulics (T/H) code ESCOT employing the drift-flux model are presented. This code aims at providing an accurate yet fast core thermal-hydraulics solution capability to high-fidelity multiphysics core analysis systems targeting massively parallel computing platforms. The four equation drift-flux model is adopted for two-phase calculations, and numerical solutions are obtained by applying the Finite Volume Method (FVM) and the Semi-Implicit Method for Pressure-Linked Equation (SIMPLE)-like algorithm in a staggered grid system. Constitutive models involving turbulent mixing, pressure drop, and vapor generation are employed to simulate key phenomena in subchannel-scale analyses. ESCOT is parallelized by a domain decomposition scheme that involves both radial and axial decomposition to enable highly parallelized execution. The ESCOT solutions are validated through the applications to various experiments which include CNEN $4{\times}4$, Weiss et al. two assemblies, PNNL $2{\times}6$, RPI $2{\times}2$ air-water, and PSBT covering single/two-phase and unheated/heated conditions. The parameters of interest for validation include various flow characteristics such as turbulent mixing, spacer grid pressure drop, cross-flow, reverse flow, buoyancy effect, void drift, and bubble generation. For all the validation tests, ESCOT shows good agreements with measured data in the extent comparable to those of other subchannel-scale codes: COBRA-TF, MATRA and/or CUPID. The execution performance is examined with a mini-sized whole core consisting of 89 fuel assemblies and for an OPR1000 core. It turns out that it is about 1.5 times faster than a subchannel code based on the two-fluid three field model and the axial domain decomposition scheme works as well as the radial one yielding a steady-state solution for the OPR1000 core within 30 s with 104 processors.

A Qualitative Study on the Exploration of the Constructs of the Characteristics of At-Risk Learners in the Blind Spots of Education (일반교사가 지각하는 교육사각지대 학습자 특성의 구성개념 탐색 - CQR-M을 중심으로 -)

  • Choi, Sumi;Yu, In-Hwa;Kim, Dong-il;Park, Ae Shil
    • (The) Korean Journal of Educational Psychology
    • /
    • v.32 no.3
    • /
    • pp.421-442
    • /
    • 2018
  • This study aimed to explore the constructs of the characteristics of at-risk learners with diverse educational needs in the blind spots of education, in order to understand them comprehensively and detect them early in schools. Participants were 156 elementary, middle, and high school teachers who filled out a semi-structured questionnaire consisting of open questions about their implicit knowledge of the characteristics of at-risk learners in the blind spots of education. Qualitative data were analyzed using a modified consensual qualitative research method. The main findings of this study are as follows. First, five domains and 16 categories were derived as the main constructs of the characteristics of learners in the blind spots of education. Second, the most listed of the five domains was the "domain of low learning and cognition," whereas the least listed domain was the "everyday life domain." Finally, deficiencies of interpersonal skills and interactive communications and categories related to family structure and functions frequently appeared among the 16 categories. Based on these results, implications and potentials for follow-up studies were further discussed.

Study on Modeling the Spectral Solar Radiation Absorption Characteristics in Determining the surface Temperature of a Ground Object (지상물체의 표면온도 계산을 위한 파장별 태양복사 흡수특성 모델링 연구)

  • Choi, Jun-Hyuk;Gil, Tae-Jun;Kim, Tae-Kuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.35 no.1
    • /
    • pp.33-39
    • /
    • 2007
  • This paper is aimed at the development of a software that predicts the surface temperature profiles of three-dimensional objects on the ground by considering the spectral solar radiation through the atmosphere. The spectral solar radiation through the atmosphere is modeled by using the well-known LOWTRAN7 code which analyzes the detailed spectral transmission characteristics by considering the atmospheric gas layers. In this paper, the transient temperature distribution over a cylinder is calculated by using the semi-implicit method. The spectral radiative surface properties such as the absorptivity and emissivity of the objects are used to model the effects of the solar irradiation and the surface emission. Both the detailed spectral modeling and the simple total modeling for the solar radiation absorption show fairly good agreement with each other by showing less than 3% difference in surface temperature.