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Improvement of JASMINE code for ex-vessel molten core coolability in BWR

松本 俊慶; 川部 隆平*; 岩澤 譲; 杉山 智之; 丸山 結

Annals of Nuclear Energy, 178, p.109348_1 - 109348_13, 2022/12



MPS-based axisymmetric particle method for bubble rising with density and pressure discontinuity

Wang, Z.; 杉山 智之

Engineering Analysis with Boundary Elements, 144, p.279 - 300, 2022/11

 被引用回数:0 パーセンタイル:0.01(Engineering, Multidisciplinary)

Numerical simulation of gas bubbles rising in liquid is challenging due to high density and viscosity ratios. This study proposes to separately model the liquid and gas phases by the incompressible Moving Particle Semi-implicit (MPS) method and the Weakly Compressible MPS (WCMPS) method. The liquid-gas phase interface is explicitly represented by a series of discrete nodes. By adequately enforcing the stress balance equation on these moving interface nodes, the MPS and WCMPS methods are coupled. Rather than being treated as the volume force, the surface tension is considered as a pressure jump at the interface. Without applying any smoothing or averaging scheme, the density, viscosity and pressure are discontinuous across the interface. The axisymmetric formulation is directly introduced based on the least squares scheme to save computational cost. In addition, a multi-time step algorithm is proposed so that independent time increments can be adopted for different phases. Furthermore, the particle shifting technique is extended to control the multi-spatial resolution dynamically and maintain the particle distribution quasi-isotropic. Several numerical tests, including hydrostatic pressure problems, droplet deformation and bubble rising benchmark are conducted to show the accuracy, efficiency and stability. Finally, validations are performed using experimental results with wide ranges of Reynolds number and Bond number, which dominate the bubble shape.


A Multi-resolution particle method with high order accuracy for solid-liquid phase change represented by sharp moving interface

Wang, Z.; 杉山 智之; 松永 拓也*; 越塚 誠一*

Computers & Fluids, 247, p.105646_1 - 105646_21, 2022/10

 被引用回数:0 パーセンタイル:0.01(Computer Science, Interdisciplinary Applications)

This paper develops a highly accurate, multi-resolution particle method to simulate solid-liquid phase change coupled with the thermal flow. Instead of including the latent heat in the governing equation, the heat equations for solid and liquid phases are solved separately. A sharp interface model is proposed to represent the solid-liquid interface explicitly. The sharp interface, represented by discrete nodes, provides the Neumann boundary condition for pressure and the Dirichlet boundary condition for velocity/temperature, respectively. Based on temperature gradients in the solid and liquid phases, the positions of these interface nodes are updated every time step. The Eulerian-based formulation, rather than the conventional Lagrangian-based one, is utilized to minimize time step-dependent error. Up to 4th order spatial discretization scheme is adopted based on the Least Square Moving Particle Semi-implicit (LSMPS) scheme. Moreover, a geometry-based multi-resolution scheme is introduced to dynamically refine the spatial resolution near the interface for saving computational cost. The 1-D Stefan problem is firstly simulated to verify the accuracy of the proposed sharp interface model. Then, the consistency of the multi-resolution scheme is investigated by a convergence study of the Taylor-Green vortex problem. After that, numerical simulations of natural convection in a cavity are performed with different spatial resolutions and high order schemes. Resulted computational costs are compared and discussed. Finally, the problems of melting by natural convection with different Rayleigh numbers are investigated. The results achieved so far indicate that the multi-resolution and high order schemes have great potential to save computational cost.


Dynamic probabilistic risk assessment of nuclear power plants using multi-fidelity simulations

Zheng, X.; 玉置 等史; 杉山 智之; 丸山 結

Reliability Engineering & System Safety, 223, p.108503_1 - 108503_12, 2022/07

 被引用回数:3 パーセンタイル:86.32(Engineering, Industrial)

Dynamic probabilistic risk assessment (PRA) more explicitly treats timing issues and stochastic elements of risk models. It extensively resorts to iterative simulations of accident progressions for the quantification of risk triplets including accident scenarios, probabilities and consequences. Dynamic PRA leverages the level of detail for risk modeling while intricately increases computational complexities, which result in heavy computational cost. This paper proposes to apply multi-fidelity simulations for a cost- effective dynamic PRA. It applies and improves the multi-fidelity importance sampling (MFIS) algorithm to generate cost-effective samples of nuclear reactor accident sequences. Sampled accident sequences are paralleled simulated by using mechanistic codes, which is treated as a high-fidelity model. Adaptively trained by using the high-fidelity data, low-fidelity model is used to predicting simulation results. Interested predictions with reactor core damages are sorted out to build the density function of the biased distribution for importance sampling. After when collect enough number of high-fidelity data, risk triplets can be estimated. By solving a demonstration problem and a practical PRA problem by using MELCOR 2.2, the approach has been proven to be effective for risk assessment. Comparing with previous studies, the proposed multi-fidelity approach provides comparative estimation of risk triplets, while significantly reduces computational cost.


Revolatilization of iodine by bubbly flow in the suppression pool during an accident

南上 光太郎; 石川 淳; 杉山 智之; Pellegrini, M.*; 岡本 孝司*

Journal of Nuclear Science and Technology, 10 Pages, 2022/04

 被引用回数:0 パーセンタイル:0.01(Nuclear Science & Technology)

To appropriately evaluate the amount of radioactive iodine released into the environment, we extended the current pool scrubbing model to consider revolatilization at bubble surfaces due to bubbly flow generated in the suppression pool, and the effect of revolatilization by bubbly flow was quantitatively evaluated using a station black out sequence in this work. Gaseous iodine species are produced in the suppression pool in an accident. They are gradually released from the pool surface, but when a large amount of gas flows from the drywell into the suppression pool, the revolatilization of gaseous iodine dissolved in the pool water is promoted by bubbly flow. The results of this study indicated that the release amount of iodine immediately after suppression chamber (S/C) vent operation increased by up to 134 times when considering the revolatilization effect associated with bubbly flow. These results were due to the increase in the gas-liquid interfacial area at bubble surfaces and the overall mass transfer coefficients under two-phase flow conditions due to bubbly flow. It was shown that caution is required for early S/C vent operation.


Simulation-based dynamic probabilistic risk assessment of an internal flooding-initiated accident in nuclear power plant using THALES2 and RAPID

久保 光太郎; Zheng, X.; 田中 洋一; 玉置 等史; 杉山 智之; Jang, S.*; 高田 孝*; 山口 彰*

Proceedings of the Institution of Mechanical Engineers, Part O; Journal of Risk and Reliability, 11 Pages, 2022/04

 被引用回数:1 パーセンタイル:73.4(Engineering, Multidisciplinary)

確率論的リスク評価(Probabilistic Risk Assessment: PRA)は、大規模かつ複雑なシステムのリスクを評価するために用いられる手法である。しかし、従来のイベントツリーやフォールトツリーを用いたPRAでは、原子力発電所の構造物、系統及び機器が損傷するタイミングを考慮することは困難である。そこで、この課題を解決するために、RAPID(Risk Assessment with Plant Interactive Dynamics)を用いて、熱水力解析と外部事象のシミュレーションを組み合わせた手法を提案した。加圧水型原子炉のタービン建屋内での内部溢水を表現するために、ベルヌーイの定理に基づいた溢水伝播モデルを適用した。加えて、溢水源の流量や緩和システムの故障基準などの不確実さを考慮した。シミュレーションでは、運転員がいくつか簡略化を行うことにより、運転員による溢水源の隔離操作と排水ポンプを用いた回復操作をモデル化した。その結果、隔離と排水を組み合わせることで、溢水発生時の条件付炉心損傷確率を約90%低減できることが示された。


On the free surface boundary of moving particle semi-implicit method for thermocapillary flow

Wang, Z.; 杉山 智之

Engineering Analysis with Boundary Elements, 135, p.266 - 283, 2022/02

 被引用回数:2 パーセンタイル:57.6(Engineering, Multidisciplinary)

The moving particle semi-implicit (MPS) method has great potential in dealing with free surface flow due to its Lagrangian nature. In most cases, the free surface boundary is simply served as the pressure boundary condition. In this paper, an improved MPS method is presented for thermocapillary driven free surface flow. A series of surface nodes explicitly represent the free surface boundary. The normal stress on the free surface provides the Dirichlet pressure boundary condition, while the velocity boundary condition, i.e., Marangoni stress, is enforced through the Taylor series expansion and least squares method. Meanwhile, a quasi-Lagrangian formulation is introduced to avoid particle clustering and the corresponding numerical instability by slightly modifying the advection velocity. The upwind scheme is employed for the convection term to obtain accurate and stable results. A novel constraint scheme with the divergence of provisional velocity is developed for the pressure gradient to enhance stability further. The consistency of the derived generalized boundary condition is firstly verified with a simple convergence test. Then, several numerical tests, including square patch rotation, lid-driven and square droplet oscillation, are simulated to show the improvements. Finally, thermocapillary driven flows in an open cavity without and with buoyancy effect are studied. Good agreements are obtained by comparing with reference simulations taken from literature. Heat transfer characteristics are further investigated for different dimensionless numbers, including the Rayleigh number and Marangoni number.


Radiochemical analysis of the drain water sampled at the exhaust stack shared by Units 1 and 2 of the Fukushima Daiichi Nuclear Power Station

島田 亜佐子; 谷口 良徳; 垣内 一雄; 大平 早希; 飯田 芳久; 杉山 智之; 天谷 政樹; 丸山 結

Scientific Reports (Internet), 12(1), p.2086_1 - 2086_11, 2022/02

 被引用回数:0 パーセンタイル:0.01(Multidisciplinary Sciences)

2011年3月12日に福島第一原子力発電所の1号機のベントが行われ、1・2号機共用スタックから放射性ガスが放出された。本研究ではこのベントにより放出された放射性核種の情報を有していると考えられる、1・2号機共用スタック基部のドレンピットから採取したドレン水の放射化学分析を実施した。揮発性の$$^{129}$$Iや$$^{134}$$Cs, $$^{137}$$Csだけでなく、$$^{60}$$Co, $$^{90}$$Sr, $$^{125}$$Sb, 1号機由来安定Moが検出された。1号機由来安定Moの量はCsの量よりもはるかに少ないことから、事故時の炉内状況ではCs$$_{2}$$MoO$$_{4}$$の生成は抑制されたと考えられる。また、2020年10月時点では、約90%のIがI$$^{-}$$、約10%がIO$$_{3}$$$$^{-}$$で存在した。$$^{137}$$Csより多い$$^{129}$$Iが観測されたことから、事故時に$$^{131}$$IはCsIというよりも分子状のヨウ素として放出されたことが示唆された。2011年3月11日に減衰補正した$$^{134}$$Cs/$$^{137}$$Cs放射能比は0.86で、2号機や3号機由来と考えられる放射能比より低いことが示された。


Experiments of melt jet-breakup for agglomerated debris formation using a metallic melt

岩澤 譲; 杉山 智之; 阿部 豊*

Nuclear Engineering and Design, 386, p.111575_1 - 111575_17, 2022/01

 被引用回数:0 パーセンタイル:0.01(Nuclear Science & Technology)

In severe accidents in a light water reactor, the relocated molten core (so-called corium or melt) can form a debris bed. The debris bed coolability is a critical issue for prevention and mitigation of the molten core-concrete interactions. Agglomeration has a serious impact on assessment of debris bed coolability if agglomeration forms massive debris (so-called agglomerated debris) by merging of melt particles with others when the melt particles accumulate on a floor. This paper presents the results of melt jet-breakup experiments for agglomerated debris formation using a simulant metallic melt. The experiments injected a melt jet of a low-melting point metal through a circular nozzle into a test section filled with coolant water. The particles were generated due to the melt jet-breakup accumulated on to a catcher, which is a flat plate made of stainless steel, installed in the test section. A high-speed video camera imaged particle formation and accumulation on the catcher plate. Agglomerated debris was confirmed by morphological investigation of the recovered debris. The experimental results revealed the effects of the melt jet injection conditions (melt temperature, coolant temperature, and coolant depth) on the mass fraction of agglomerated debris. On the basis of the experimental results, we proposed a simple correlation to estimate the mass fraction. The simple correlation successfully reproduced the mass fraction of agglomerated debris obtained in the DEFOR-A test [Kudinov et al., Nucl. Eng. Des., 301 (2013), 284-295]. The experimental data base presented in this paper makes further contributions to the modeling and validation of mechanistic models or simulation tools for agglomerated debris formation.


Numerical analysis for FP speciation in VERDON-2 experiment; Chemical re-vaporization of iodine in air ingress condition

塩津 弘之; 伊藤 裕人*; 杉山 智之; 丸山 結

Annals of Nuclear Energy, 163, p.108587_1 - 108587_9, 2021/12

 被引用回数:0 パーセンタイル:0.01(Nuclear Science & Technology)

In the late phase of severe accident in light water reactor nuclear power station, re-mobilization of fission products (FPs) has a significant impact on the source term because most portion of FPs is retained in reactor coolant system and/or containment vessel. Recently, VERDON-2 experiment showed noticeable re-vaporization, which was one of the re-mobilization phenomena, of iodine under air ingress condition, but this mechanism has not been identified yet. The present study numerically investigated the FPs behaviors in VERDON-2 experiment with the mechanistic FPs transport analysis code incorporating thermodynamic chemical equilibrium model in order to further understand nature for FPs behavior, especially iodine re-vaporization under air ingress condition. Consequently, this analysis reproduced the deposition profile of cesium, one of important FPs in the source term, along the thermal gradient tube (TGT) in the experiment, which revealed that cesium was transported as CsOH in early phase of FP release from fuel, and then formed Cs$$_{2}$$MoO$$_{4}$$ and Cs$$_{2}$$Te after the release of molybdenum and tellurium was activated. Regarding iodine as another important FP, formation of CsI was predicted in steam condition. The CsI was transported and partly deposited and condensed onto the TGTs and other components of the VERDON facility. Under the air ingress condition, the present analysis showed the agreement for iodine re-vaporization in the experiment and revealed its mechanism; the deposits of iodide were chemical re-vaporized as molecular iodine (I$$_{2}$$) gas by redox reaction with competitive elements such as molybdenum, chromium and tellurium.


Melt impingement on a flat spreading surface under wet condition

Sahboun, N. F.; 松本 俊慶; 岩澤 譲; 杉山 智之

Proceedings of Asian Symposium on Risk Assessment and Management 2021 (ASRAM 2021) (Internet), 15 Pages, 2021/10

The accident at the Fukushima Daiichi Nuclear Power Station triggered reevaluation and necessary enhancement of the accident countermeasures and safety regulations worldwide. Such actions are based on the present knowledge and evaluation techniques of the important phenomena anticipated to occur in a severe accident. The present study focused on the under-water melt spreading behavior and aimed at a formulation to predict the final geometry of the solidified melt on the floor of the containment vessel. The formulation, based on the author's previous study of the dry spreading of molten metal, considers the thermal and fluid properties of the melt, so the gap between the core and simulant materials could be filled by using adequate properties. In addition, the formulation was extended to the wet condition by considering the film boiling heat transfer at the upper side of the spreading melt. The improved formula was applied to the PULiMS experiments conducted by the Swedish Royal Institute of Technology with a simulant oxide material under wet conditions. The predicted final spreading area and thickness were in agreement with the experimental results within a twenty percent error.


Development of evaluation framework for ex-vessel core coolability

松本 俊慶; 岩澤 譲; 杉山 智之

Proceedings of Reactor core and Containment Cooling Systems, Long-term management and reliability (RCCS 2021) (Internet), 8 Pages, 2021/10



Mechanical failure of high-burnup fuel rods with stress-relieved annealed and recrystallized M-MDA cladding under reactivity-initiated accident conditions

三原 武; 宇田川 豊; 杉山 智之; 天谷 政樹

Journal of Nuclear Science and Technology, 58(8), p.872 - 885, 2021/08

 被引用回数:1 パーセンタイル:36.81(Nuclear Science & Technology)

To evaluate the effects of the hydride morphology and initial temperature of fuel cladding on the pellet-cladding mechanical interaction failure under reactivity-initiated accident (RIA) conditions, RIA-simulated experiments were performed on high-burnup fuels with stress-relieved annealed (SR) and recrystallized (RX) M-MDA$$^{TM}$$ cladding at room and high ($$sim$$ 280$$^{circ}$$C) temperatures. The results demonstrated that the failure-limit trend of RX-cladded fuels being lower than that of SR-cladded fuels for a similar hydrogen content holds up to at least about 700 wtppm. The observation of the fracture surfaces of failed RX cladding suggests a contribution of radially-oriented hydrides to the crack formation and/or penetration, which coincides with the aforementioned failure-limit trend. The temperature effect, namely the failure-limit rise at a high temperature, is evident irrespective of the hydride morphology, while the degree of the temperature effect decreases as the hydrogen content increases.


Dynamic PRA of flooding-initiated accident scenarios using THALES2-RAPID

久保 光太郎; Zheng, X.; 田中 洋一; 玉置 等史; 杉山 智之; Jang, S.*; 高田 孝*; 山口 彰*

Proceedings of 30th European Safety and Reliability Conference and 15th Probabilistic Safety Assessment and Management Conference (ESREL 2020 and PSAM-15) (Internet), p.2279 - 2286, 2020/11

確率論的リスク評価(PRA)は巨大かつ複雑なシステムをリスクを評価する手法の1つである。従来のPRA手法を用いて外部事象のリスクを評価する場合、構造物、系統及び機器の機能喪失時刻の取扱いが困難である。この解決策として、熱水力解析と外部事象評価シミュレーションをRAPID (Risk Assessment with Plant Interactive Dynamics)コードを用いて結合した。外部事象としてPWRプラントにおけるタービン建屋内での内部溢水を選定し、溢水進展評価にはベルヌーイ則に式を用いた。また、溢水源の流量及び緩和設備の没水基準に関する不確実さを考慮した。回復操作については、運転員による溢水源の隔離とポンプによる排水を仮定とともにモデル化した。結果として、隔離操作が排水と組み合わせることによりより有効になることが示された。


Simulation-based Level 2 multi-unit PRA using RAVEN and a simplified thermal-hydraulic code

Zheng, X.; Mandelli, D.*; Alfonsi, A.*; Smith, C.*; 杉山 智之

Proceedings of 30th European Safety and Reliability Conference and 15th Probabilistic Safety Assessment and Management Conference (ESREL 2020 and PSAM-15) (Internet), p.2176 - 2183, 2020/11

The paper introduces a simulation-based Level 2 probabilistic risk assessment (PRA) of a multi-unit nuclear power plant. We propose the methodology by quantifying risk for a station-blackout accident scenario, initialized by a loss-of-offsite-power event. Contrary to classical PRA that applies static models such as event-tree/fault-tree, the analysis is seamlessly integrated with mechanistic simulation and PRA models, including: (1) a simplified thermal-hydraulic code for simulating system behaviors; (2) a Markovian model for the failure mechanism of decay-heat-removal systems, to investigate the interaction between mechanistic simulation and reliability analysis; and (3) classical containment event trees for evaluating containment performances and hydrogen-explosion risk under severe accident conditions. All dynamic and static models, including plant dependencies, are unified within the RAVEN computational framework, applying RAVEN components, External Model, Ensemble Model, and PRA Plugins. The study demonstrates an integrated assessment of risks by considering accident progression and inter-unit system interactions, both time dependent. Statistical data analysis is used to quantifying risk metrics, including core damage frequencies, large early release frequencies and plant damage status. The methodology pertains to modern risk-analysis methodologies such as risk-informed safety margin characterization (RISMC) and dynamic PRA.


Enhancement of the treatment of system interactions in a dynamic PRA tool

田中 洋一; 玉置 等史; Zheng, X.; 杉山 智之

Proceedings of 30th European Safety and Reliability Conference and 15th Probabilistic Safety Assessment and Management Conference (ESREL 2020 and PSAM-15) (Internet), p.2195 - 2201, 2020/11

One advantage of dynamic probabilistic risk assessment (PRA) is that it can take into account the timing and ordering of event occurrences based on more explicit simulation of system dynamics. It is expected that dynamic PRA can lead us into a more realistic risk assessment, overcoming some limitations of conventional PRA. Multiple dynamic PRA tools have been developed worldwide, and applied to risk assessment of large industrial facilities such as nuclear power plants and crewed spacecrafts. Japan Atomic Energy Agency has developed the dynamic PRA tool, RAPID (Risk Assessment with Plant Interactive Dynamics), considering the interaction between accident simulation and dysfunctional models of safety-related systems. This paper introduces a recent enhancement of RAPID to treat more complicated simulation interactions from the outside of severe accident codes. It is designed to feed back and forth plant information from simulators to the accident sequence generator. It discusses how the enhancement affects the results of risk assessment, with an example analyzing thermal failure of a safety relief valve in a station blackout accident occurred at a boiling water reactor plant.


Case study on sampling techniques using machine learning and simplified physical model for simulation-based dynamic probabilistic risk assessment

久保 光太郎; Zheng, X.; 石川 淳; 杉山 智之; Jang, S.*; 高田 孝*; 山口 彰*

Proceedings of Asian Symposium on Risk Assessment and Management 2020 (ASRAM 2020) (Internet), 11 Pages, 2020/11



The Analysis for Ex-Vessel debris coolability of BWR

松本 俊慶; 岩澤 譲; 安島 航平*; 杉山 智之

Proceedings of Asian Symposium on Risk Assessment and Management 2020 (ASRAM 2020) (Internet), 10 Pages, 2020/11

本研究では、事前注水した格納容器内デブリの冷却確率を評価した。まず、落下溶融物条件を求めるため、シビアアクシデント解析コードMELCORによる不確かさ解析を行った。この解析では炉心の溶融・移行過程に関連する5つの不確かさパラメータを選択し、仮定された確率分布を用いて、ラテン超方格法(LHS)により入力パラメータセットを生成した。これを用いたMELCORによる多ケース解析の結果から落下溶融物条件を抽出した。次に、MELCOR解析結果をもとに、パラメータの確率分布を決定し、LHSにより生成した59個のパラメータセットを用いてJASMINEコードによる水中の溶融物挙動の解析を行った。水位の条件は0.5m, 1.0m及び2.0mとした。広がり半径とデブリ質量の解析結果からデブリの堆積高さを求め、判定基準と比較することで冷却の成否判定を行った。以上の一連の解析の結果、デブリ冷却の成功確率を求めた。また、MELCOR及びJASMINEを組み合わせた冷却性解析の課題について論じた。


A Comparative study of sampling techniques for dynamic probabilistic risk assessment of nuclear power plants

久保 光太郎; Zheng, X.; 田中 洋一; 玉置 等史; 杉山 智之; Jang, S.*; 高田 孝*; 山口 彰*

Proceedings of Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo 2020 (SNA + MC 2020), p.308 - 315, 2020/10



Consistent robin boundary enforcement of particle method for heat transfer problem with arbitrary geometry

Wang, Z.; Duan, G.*; 松永 拓也*; 杉山 智之

International Journal of Heat and Mass Transfer, 157, p.119919_1 - 119919_20, 2020/08

 被引用回数:8 パーセンタイル:71.1(Thermodynamics)

Enforcing accurate and consistent boundary conditions is a difficult issue for particle methods, due to the lack of information outside boundaries. Recently, consistent Neumann boundary condition enforcement is developed for the least squares moving particle semi-implicit method (LSMPS). However, the Robin boundary cannot be straightforwardly considered by that method because no computational variables are defined on the wall boundary. In this paper, a consistent Robin boundary enforcement for heat transfer problem is proposed. Based on the Taylor series expansion, the Robin boundary condition for temperature is converted to the fitting function of internal rather than boundary particles and incorporated into least squares approach for discretization schemes. Arbitrary geometries can be easily treated due to the use of polygons for wall boundary. A convergence study was firstly carried out to verify the consistency. Then, numerical tests of 1-D and 2-D heat conduction problems subjected to mixed boundary conditions were performed for verification, and good agreements with theoretical solutions were observed. Natural convection problems with different boundary conditions in an annulus were carried out for further validations of heat-fluid coupling. Excellent agreements between the present and literature results were demonstrated.

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