• Title/Summary/Keyword: numerical manifold method

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Chaotic Stirring of an Alternately-Driven-Cavity Flow (요동운동에 의한 Driven-Cavity 유동의 혼돈적 교반)

  • 서용권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.537-547
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    • 1995
  • Numerical study on the chaotic stirring of viscous flow in an alternately driven cavity has been performed. Even under the Stokes-flow assumption, the inherent singularity at the corners made the problem not so easily accessible. With some special treatments to the region near the corners, the biharmonic equation was solved numerically by using the fully implicit method. The velocity field was then used in obtaining the trajectories of passive particles for studying the stirring effect. The three tools developed in the field of the nonlinear dynamics and chaos, that are the Poincare sections, the unstable manifolds, and the Lyapunov exponents, were used in analysing the stirring effect. It was shown that the unstable manifolds obtained in this study well fit the experimental results given by the previous investigators. It is predicted that the best stirring can be obtained when the aspect ratio a is near 0.8 and the dimensionless period T is in the range 4.3 - 4.7.

Matrix Completion Algorithm for Internet of Things Localization (사물 인터넷의 최적화를 위한 행렬 완성 알고리듬)

  • Nguyen, Luong Trung;Shim, Byonghyo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2015.11a
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    • pp.4-7
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    • 2015
  • In this paper, we propose a matrix completion algorithm for Internet of Things (IoT) localization. The proposed algorithm recovers the Gram matrix of sensors by performing optimization over the Riemannian manifold of fixed-rank positive semidefinite matrices. We compute and show the closed forms of all the differentially geometric components required for applying nonlinear conjugate gradients combined with Armijo line search method. The numerical experiments show that the performance of the proposed algorithm in solving IoT localization is outstanding compared with the state-of-the-art matrix completion algorithms both in noise and noiseless scenarios.

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Mercer Kernel Isomap

  • Choi, Hee-Youl;Choi, Seung-Jin
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07b
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    • pp.748-750
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    • 2005
  • Isomap [1] is a manifold learning algorithm, which extends classical multidimensional scaling (MDS) by considering approximate geodesic distance instead of Euclidean distance. The approximate geodesic distance matrix can be interpreted as a kernel matrix, which implies that Isomap can be solved by a kernel eigenvalue problem. However, the geodesic distance kernel matrix is not guaranteed to be positive semidefinite. In this paper we employ a constant-adding method, which leads to the Mercer kernel-based Isomap algorithm. Numerical experimental results with noisy 'Swiss roll' data, confirm the validity and high performance of our kernel Isomap algorithm.

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Design and Production of Hybrid Type Center Plate for Molten Carbonate Fuel Cell (용융탄산염 연료전지용 하이브리드 타입 센터 플레이트의 설계 및 제작)

  • Lee, C.H.;Ryu, S.M.;Yang, D.Y.;Kang, D.W.;Chang, I.G.;Lee, T.W.
    • Transactions of Materials Processing
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    • v.20 no.4
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    • pp.273-278
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    • 2011
  • Employing the TRIZ problem solving technique, a hybrid-type center plate for the molten carbonate fuel cell(MCFC) was developed for the purpose of improving gas sealing and maintenance. The manufacturing method of the hybrid-type center plate was divided into a trimming operation and a two-step bending process. In the latter, a modified punch shape was used to reduce springback. Using finite element(FE) simulations, bending stresses in the thickness and the in-plane directions were computed and the bending conditions were optimized. The optimized results of the two-step bending process were used as a basis for the design of the trimming process of the hybrid-type center plate. Finally, the external manifold-type center plate and the hybrid-type center plate were fabricated using a die set that accounts for the optimized conditions. It was found that the numerical simulation results were in good agreement with the experiments.

Estimation of residual stress in welding of dissimilar metals at nuclear power plants using cascaded support vector regression

  • Koo, Young Do;Yoo, Kwae Hwan;Na, Man Gyun
    • Nuclear Engineering and Technology
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    • v.49 no.4
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    • pp.817-824
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    • 2017
  • Residual stress is a critical element in determining the integrity of parts and the lifetime of welded structures. It is necessary to estimate the residual stress of a welding zone because residual stress is a major reason for the generation of primary water stress corrosion cracking in nuclear power plants. That is, it is necessary to estimate the distribution of the residual stress in welding of dissimilar metals under manifold welding conditions. In this study, a cascaded support vector regression (CSVR) model was presented to estimate the residual stress of a welding zone. The CSVR model was serially and consecutively structured in terms of SVR modules. Using numerical data obtained from finite element analysis by a subtractive clustering method, learning data that explained the characteristic behavior of the residual stress of a welding zone were selected to optimize the proposed model. The results suggest that the CSVR model yielded a better estimation performance when compared with a classic SVR model.

A Study on the Estimation of Homogeneous Physical Properties of Molten Carbonate Fuel Cell Stacks (용융탄산염형 연료전지 스택의 균질 물성치 추정에 관한 연구)

  • Lee, Sang-Wook;Suh, Yong-S.
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.7
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    • pp.2939-2944
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    • 2011
  • The performance and efficiency of a Molten Carbonate Fuel Cell system will improve with the aids of numerical simulations such as finite element analysis. For best simulation results, the virtual model must accurately reflect the actual model including the material properties. It is very difficult, however, to make a detailed numerical model of the stack that consists of hundreds of layers of unit cells composed of various materials like metal, ceramics, polymer, etc. Instead, a practical approach is to find a homogenized material property of the stack as a whole as an approximate replacement. In this paper, the compression ratio of a unit cell is introduced, and a new method is proposed to estimate the homogeneous material properties for both the active and the manifold regions of the stack under the assumption that the compressive deformation occurs only at the separators and matrices in the unit cells. The estimated properties are applied successfully to simulating an actual stack.

A Numerical Study on Performance of a Heavy-Duty Diesel engine for Power Generation under Natural Gas-Diesel Dual Fuel Operation (발전용 대형 디젤 엔진의 천연가스-디젤혼소 운전 특성에 대한 수치해석 연구)

  • Cho, Jungkeun;Park, Sangjun;Song, Soonho;Hur, Kwang-Beom
    • Journal of the Korean Institute of Gas
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    • v.19 no.2
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    • pp.29-36
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    • 2015
  • This study is an 1-D numerical study prior to modification of diesel engine for power plants to natural gas/diesel dual fuel engine using GT-Power with 1.5MW diesel engine for power generation. Natural gas injector was installed to intake manifold for dual fuel engine model. Effects on engine performance and characteristics were investigated when dual fuel is used in unmodified diesel engine. The analysis was done under 5 conditions from 0% to 40% of mixing rate on 720RPM engine speed. As a result of research, the engine performance was decreased as increasing ratio of natural gas. Engine brake power was decreased by 18.4% under 40% mixing rate condition. To clarify the reason, effects of injection timing and period were evaluated with DOE method. Considering this result, optimization was done for these parameters. Also, comparison between performances of dual fueled engine and diesel engine was made after optimizing the timing of injection by DOE method. As a result, engine brake power was decreased by 8.55% under mixing rate 40% condition showing 12.5% improvement.

Reservoir Modeling for Carbon Dioxide Sequestration and Enhanced Oil Recovery (이산화탄소 지중저장과 원유 회수증진 공정을 위한 저류층 모델링)

  • Kim, Seung-Hyok;Lee, Jong-Min;Yoon, En-Sup
    • Journal of the Korean Institute of Gas
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    • v.16 no.3
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    • pp.35-41
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    • 2012
  • Manifold researches for carbon capture and storage (CCS) have been developed and large scale-carbon capture system can be performed recently. Hence, the technologies for $CO_2$ sequestration or storage become necessary to handle the captured $CO_2$. Among them, enhanced oil recovery using $CO_2$ can be a solution since it guarantees both oil recovery and $CO_2$ sequestration. In this study, the miscible flow of oil and $CO_2$ in porous media is modeled to analyze the effect of enhanced oil recovery and $CO_2$ sequestration. Based on Darcy-Muskat law, the equation is modified to consider miscibility of oil and $CO_2$ and the change of viscosity. Finite volume method is used for numerical modeling. As results, the pressure and oil saturation changes with time can be predicted when oil, water, and $CO_2$ are injected, respectively, and $CO_2$ injection is more efficient than water injection for oil recovery.