• Title/Summary/Keyword: second-order accuracy

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Numerical Prediction of Incompressible Flows Using a Multi-Block Finite Volume Method on a Parellel Computer (병렬 컴퓨터에서 다중블록 유한체적법을 이용한 비압축성 유동해석)

  • Kang, Dong-Jin;Sohn, Jeong-Lak
    • The KSFM Journal of Fluid Machinery
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    • v.1 no.1 s.1
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    • pp.72-80
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    • 1998
  • Computational analysis of incompressible flows by numerically solving Navier-Stokes equations using multi-block finite volume method is conducted on a parallel computing system. Numerical algorithms adopted in this study $include^{(1)}$ QUICK upwinding scheme for convective $terms,^{(2)}$ central differencing for other terms $and^{(3)}$ the second-order Euler differencing for time-marching procedure. Structured grids are used on the body-fitted coordinate with multi-block concept which uses overlaid grids on the block-interfacing boundaries. Computational code is parallelized on the MPI environment. Numerical accuracy of the computational method is verified by solving a benchmark test case of the flow inside two-dimensional rectangular cavity. Computation in the axial compressor cascade is conducted by using 4 PE's md, as results, no numerical instabilities are observed and it is expected that the present computational method can be applied to the turbomachinery flow problems without major difficulties.

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Computational fluid dynamic simulation with moving meshes

  • Yun, Kiyun;Kim, Juhan;Yoon, Suk-Jin
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.101.2-101.2
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    • 2013
  • We present a new computational fluid dynamic (CFD) simulation code. The code employs the moving and polyhedral unstructured mesh scheme, which is known as a superior approach to the conventional SPH (smoothed particle hydrodynamics) and AMR (adaptive mesh refinement) schemes. The code first generates unstructured meshes by the Voronoi tessellation at every time step, and then solves the Riemann problem for surfaces of every Voronoi cell to update the hydrodynamic states as well as to move former generated meshes. For the second-order accuracy, the MUSCL-Hancock scheme is implemented. To increase efficiency for generating Voronoi tessellation we also develop the incremental expanding method, by which the CPU time is turned out to be just proportional to the number of particles, i.e., O(N). We will discuss the applications of our code in the context of cosmological simulations as well as numerical experiments for galaxy formation.

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Development of a 3-D Unsteady Viscous Flow Solver on Deforming Unstructured Meshes (변형되는 비정렬 격자계를 이용한 삼차원 비정상 점성 유동 계산 기법 개발)

  • Kim J. S.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.9 no.2
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    • pp.52-61
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    • 2004
  • In the present study, a solution algorithm for the computation of unsteady flows on unstructured meshes is presented. Dual time stepping is incorporated to achieve the second-order temporal accuracy while reducing errors associated with linearization and factorization. This allows any time step size, which is suitable for considering physical phenomena of interest. The Gauss-Seidel scheme is used to solve the linear system of equations. A special treatment based on spring analogy is made to handle meshes with high aspect-ratio cells. The present method was validated by comparing the results with experimental data and those obtained from rigid motion.

Extending Ionospheric Correction Coverage Area By Using A Neural Network Method

  • Kim, Mingyu;Kim, Jeongrae
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.1
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    • pp.64-72
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    • 2016
  • The coverage area of a GNSS regional ionospheric delay model is mainly determined by the distribution of GNSS ground monitoring stations. Extrapolation of the ionospheric model data can extend the coverage area. An extrapolation algorithm, which combines observed ionospheric delay with the environmental parameters, is proposed. Neural network and least square regression algorithms are developed to utilize the combined input data. The bi-harmonic spline method is also tested for comparison. The IGS ionosphere map data is used to simulate the delays and to compute the extrapolation error statistics. The neural network method outperforms the other methods and demonstrates a high extrapolation accuracy. In order to determine the directional characteristics, the estimation error is classified into four direction components. The South extrapolation area yields the largest estimation error followed by North area, which yields the second-largest error.

Speed Estimation of Diesel-Generator Systems Based on Multiple SOGI-FLLs (다중 SOGI-FLL 기반 엔진-발전기 시스템의 속도 추정)

  • Dao, Ngoc Dat;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2017.11a
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    • pp.63-64
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    • 2017
  • This paper proposes a speed estimator for sensorless control of diesel-generator (genset) systems, where the speed of the genset is calculated from the back-EMF frequency of the generator. The back-EMF frequency is extracted from a phase output current by using multiple second-order generalized integrators (SOGIs) connected in parallel and series and separated frequency-locked loops. The proposed method (PS-SOGI-FLL) is able to estimate the fundamental frequency in the distorted output current with high accuracy and strong robustness. Simulation results are shown to verify the validity of the proposed method.

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An Efficient Method of Estimating Confidence Intervals for Use in Simulation-Optimization

  • Lee, Young-Hae;Azadivar, Farhad
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.2
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    • pp.229-244
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    • 1994
  • In many applications of simulation-optimization, when comparing two or more alternatives, it is crucial to be able to estimate the confidence intervals on the outputs of interest with a reasonable level of accuracy. This acuracy has often been tested by the closeness of the coverage of the estimated confidence interval to the intended coverage. In this paper two variations to the Batch-Means Method of estimating the confidence intervals are presented and their performance are compared with the original method. The results indicate that the Batch Means Method modified by factors obtained by a second order autoregressive method is superior to the original and the one modified based on factors obtained from autocorrelation analysis.

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Fully-Implicit Decoupling Method for Incompressible Navier-Stokes Equations (비압축성 나비어-스톡스 방정식의 완전 내재적 분리 방법)

  • Kim, Kyoung-Youn;Baek, Seung-Jin;Sung, Hyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.10
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    • pp.1317-1325
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    • 2000
  • A new efficient numerical method for computing three-dimensional, unsteady, incompressible flows is presented. To eliminate the restriction of CFL condition, a fully-implicit time advancement in which the Crank-Nicolson method is used for both the diffusion and convection terms, is adopted. Based on an approximate block LU decomposition method, the velocity -pressure decoupling is achieved. The additional decoupling of the intermediate velocity components in the convection term is made for the fully -implicit time advancement scheme. Since the iterative procedures for the momentum equations are not required, the velocity components decouplings bring forth the reduction of computational cost. The second-order accuracy in time of the present numerical algorithm is ascertained by computing decaying vortices. The present decoupling method is applied to minimal channel flow unit with DNS (Direct Numerical Simulation).

A Case Study of Productivity Improvement in Filling a Print Cartridge with Toner (프린터 카트리지 충전생산라인의 생산성향상 사례연구)

  • Yang, Joo-Man;Yang, Moon-Hee
    • IE interfaces
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    • v.24 no.3
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    • pp.258-266
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    • 2011
  • In this paper, we deal with a problem improving the productivity of a discrete production line for filling a printer cartridge with toner. We develop a new technology for controlling the weight of toner which must be filled in a cartridge and reform the current line based on our new control technology to result in more than 35% improvement of productivity as well as the control accuracy. In detail, first, we find a bottleneck process, the toner-filling process which gives the current production cycle times. Second, we divide the processing time of the bottleneck into several work elements and find the rotation time of an AC servomotor to be further reduced. Third, in order to reduce the rotation time, we develop a mathematical control-time model for determining the rotation time. Finally, we reform the current line partially as required by the change of the new control method.

Novel techniques for improving the interpolation functions of Euler-Bernoulli beam

  • Chekab, Alireza A.;Sani, Ahmad A.
    • Structural Engineering and Mechanics
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    • v.63 no.1
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    • pp.11-21
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    • 2017
  • In this paper, the efficiency and the accuracy of classical (CE) and high order (HE) beam element are improved by introducing two novel techniques. The first proposed element (FPE) provides an alternative for (HE) by taking the mode shapes of the clamped-clamped (C-C) beam into account. The second proposed element (SPE) which could be utilized instead of (CE) and (HE) considers not only the mode shapes of the (C-C) beam but also some virtual nodes. It is numerically proven that the eigenvalue problem and the frequency response function for Euler-Bernoulli beam are obtained more accurate and efficient in contrast to the traditional ones.

ERROR ESTIMATES FOR THE FULLY DISCRETE STABILIZED GAUGE-UZAWA METHOD -PART I: THE NAVIER-STOKES EQUATIONS

  • Pyo, Jae-Hong
    • Korean Journal of Mathematics
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    • v.21 no.2
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    • pp.125-150
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    • 2013
  • The stabilized Gauge-Uzawa method (SGUM), which is a second order projection type algorithm to solve the time-dependent Navier-Stokes equations, has been newly constructed in 2013 Pyo's paper. The accuracy of SGUM has been proved only for time discrete scheme in the same paper, but it is crucial to study for fully discrete scheme, because the numerical errors depend on discretizations for both space and time, and because discrete spaces between velocity and pressure can not be chosen arbitrary. In this paper, we find out properties of the fully discrete SGUM and estimate its errors and stability to solve the evolution Navier-Stokes equations. The main difficulty in this estimation arises from losing some cancellation laws due to failing divergence free condition of the discrete velocity function. This result will be extended to Boussinesq equations in the continuous research (part II) and is essential in the study of part II.