• Title/Summary/Keyword: Numerical Scheme

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Study on High Accurate Schemes for Simulation of Free-surface Flow (자유표면 유동 시뮬레이션을 위한 고정확도 수치도식의 검토)

  • Park, Jong-Chun;Lee, Byoung-Hyuk;Kim, Jeung-Hu
    • Journal of Ocean Engineering and Technology
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    • v.20 no.4 s.71
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    • pp.31-36
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    • 2006
  • Numerical schemes for spacing and time are tested to accurately simulate the wave propagation. The tested numerical schemesinclude 2nd-order central differencing, l-order upwind scheme, 2nd-order Leith scheme, 3rd-order MUSCLE, QUICK and QUICKEST schemes in spacing and the Euler and 4th-order Runge-Kutta(R-K) schemes in time. It is seen that more accurate results are expected when the higher-order schemes, especially the schemes combined with a TVD control limiter, are used for solving the wave equation. The 3rd-order upwind scheme with limiter and the 4th-order R-K scheme in tim£ are finally applied to the wave-making simulation in a digital wave tank.

Distributed Location Management Scheme for Reducing Overhead Traffic of HLR in Large Personal Communication Networks (거대한 PCN 망에서 HLR의 오버헤드 트래픽을 줄이기 위한 분산위치관리 기법)

  • Lee, Dong-Chun;Kim, Jeom-Goo;Cho, Sok-Pal
    • The KIPS Transactions:PartC
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    • v.8C no.6
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    • pp.639-639
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    • 2001
  • In this paper we describe a distributed location management scheme to reduce the bottleneck problem of HLR in Large Personal Communication Networks (LPCNs). Using analytical modeling and numerical simulation, we show that replicating location information is both appropriate and efficient for small Personal Communication Network (PCN). Then, we extend the scheme in a hierarchical environment to reduce overhead traffic and scale to LPCNs. Through extensive numerical results, we show the superiority of our scheme compared to the current IS-41 standard scheme.

Distributed Location Management Scheme for Reducing Overhead Traffic of HLR in Large Personal Communication Networks (거대한 PCN 망에서 HLR의 오버헤드 트래픽을 줄이기 위한 분산위치관리 기법)

  • Lee, Dong-Chun;Kim, Jeom-Goo;Cho, Sok-Pal
    • The KIPS Transactions:PartC
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    • v.8C no.6
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    • pp.839-846
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    • 2001
  • In this paper we describe a distributed location management scheme to reduce the bottleneck problem of HLR in Large Personal Communication Networks (LPCNs). Using analytical modeling and numerical simulation, we show that replicating location information is both appropriate and efficient for small Personal Communication Network (PCN). Then, we extend the scheme in a hierarchical environment to reduce overhead traffic and scale to LPCNs. Through extensive numerical results, we show the superiority of our scheme compared to the current IS-41 standard scheme.

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An Adaptive Checkpointing Scheme for Fault Tolerance of Real-Time Control Systems (실시간 제어 시스템의 결함 허용성을 위한 적응형 체크포인팅 기법)

  • Ryu, Sang-Moon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.6
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    • pp.598-603
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    • 2009
  • The checkpointing scheme is a well-known technique to cope with transient faults in digital systems. This paper proposes an adaptive checkpointing scheme for the reliability improvement of real-time control systems. The proposed adaptive checkpointing scheme is based on the previous work about the reliability problem of an equidistant checkpointing scheme. For the derivation of the adaptive scheme, some conditions are introduced which are to be satisfied for the reliability improvement by exploiting an equidistant checkpointing scheme. Numerical data show the proposed adaptive scheme outperforms the equidistant scheme from a reliability point of view.

Large Eddy Simulation of Boundary Layer Transition on the Turbine Blade (LES를 이용한 축류 터빈 경계층 천이에 대한 수치해석)

  • Jin, Byung-Ju;Park, No-Ma;Yoo, Jung-Yul
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.392-397
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    • 2001
  • A numerical study is performed to investigate the interaction between subsonic axial turbine blade boundary layer and periodically oncoming rotor induced wakes. An implicit scheme for solving the compressible Navier-Stokes equation is developed, which adopts a 4th-order compact difference for spatial discretiztion, a 2nd order Crank-Nicolson scheme for temporal discretization and the dynamic eddy viscosity model as the subgrid scale model. The efficiency and the accuracy of the proposed method are verified by applying to some benchmark problems such as laminar cylinder flow, laminar airfoil cascade flow and a transitional flat plate boundary layer flow. Computational results show good agreements with previous experimental and numerical results. Finally, flow through a stator cascade is simulated at $Re = 7.5{\times}10^5$ without free-stream turbulence intensity. The velocity fields and skin friction coefficients in the transitional region show similar trends with previous boundary layer natural transition.

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HIGH-ORDER ADAPTIVE-GRID METHOD FOR THE ANALYSIS OF UNSTEADY COMPRESSIBLE FLOW (비정상 압축성 유동 해석을 위한 고차 정확도 적응 격자 기법의 연구)

  • Chang, S.M.;Morris, Philip J.
    • Journal of computational fluids engineering
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    • v.13 no.3
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    • pp.69-78
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    • 2008
  • The high-order numerical method based on the adaptive mesh refinement(AMR) on the quadrilateral unstructured grids has been developed in this paper. This adaptive-grid method, originally developed with MUSCL-TVD scheme, is now extended to the WENO (weighted essentially no-oscillatory) scheme with the Runge-Kutta time integration of fifth order in spatial and temporal accuracy. The multidimensional interpolation was studied in the preliminary research, which allows us to maintain the same order of accuracy for the computation of numerical flux between two adjacent cells of different levels. Some standard benchmark tests are done to validate this method for checking the overall capacity and efficiency of the present adaptive-grid technique.

GENERATING SAMPLE PATHS AND THEIR CONVERGENCE OF THE GEOMETRIC FRACTIONAL BROWNIAN MOTION

  • Choe, Hi Jun;Chu, Jeong Ho;Kim, Jongeun
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1241-1261
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    • 2018
  • We derive discrete time model of the geometric fractional Brownian motion. It provides numerical pricing scheme of financial derivatives when the market is driven by geometric fractional Brownian motion. With the convergence analysis, we guarantee the convergence of Monte Carlo simulations. The strong convergence rate of our scheme has order H which is Hurst parameter. To obtain our model we need to convert Wick product term of stochastic differential equation into Wick free discrete equation through Malliavin calculus but ours does not include Malliavin derivative term. Finally, we include several numerical experiments for the option pricing.

Numerical Calculations of Compressible Flows using a SIMPLE Algorithm (Simple 알고리즘을 이용한 압축성유동해석)

  • Ahn Hee-Sub;Sohn Chnng-Hyun;Moon Su-Yeon
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.184-190
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    • 2000
  • A well-known pressure correction method, a SIMPLE algorithm is extended to treat compressible flows. Collocated grids are used and density is linked to pressure via an equation of state. The influence of pressure on density in the case of compressible flows is implicitly incorporated into the extended SIMPLE algorithm. The first-order Upwind and high-order Quick scheme are compared with respect to an accuracy and convergence time at all speeds. The extended method is verified on a number of test cases and the results we compared with other numerical results available in the literature. The calculated results show that the Quick scheme improves accuracy at all speed and also reduces the calculation time at supersonic flows, compared with the Upwind scheme.

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Convergence Characteristics of the Crank-Nicolson-Galerkin Scheme for Linear Parabolic Systems

  • Cho, Jin-Rae;Ha, Dae-Yul;Kim, Tae-Jong
    • Journal of Mechanical Science and Technology
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    • v.16 no.10
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    • pp.1264-1275
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    • 2002
  • This paper is concerned with the investigation on the stability and convergence characteristics of the Crank-Nicolson-Galerkin scheme that is widely being employed for the numerical approximation of parabolic-type partial differential equations. Here, we present the theoretical analysis on its consistency and convergence, and we carry out the numerical experiments to examine the effect of the time-step size △t on the h- and P-convergence rates for various mesh sizes h and approximation orders P. We observed that the optimal convergence rates are achieved only when △t, h and P are chosen such that the total error is not affected by the oscillation behavior. In such case, △t is in linear relation with DOF, and furthermore its size depends on the singularity intensity of problems.

Power Allocation and Capacity Analysis of Secondary User in Heterogeneous Spectrum Sharing Systems

  • Lim, Sungmook;Ko, Kyunbyoung
    • International Journal of Contents
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    • v.12 no.1
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    • pp.70-75
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    • 2016
  • In this paper, we considered heterogeneous spectrum sharing system where the number of subcarriers of the primary user (PU) was twice as much as that of the secondary user (SU). In this case, due to non-orthogonality and inter-carrier interference (ICI) from SU to PU, it is difficult to satisfy the interference constraint of PU. In order to mitigate ICI and satisfy the interference constraint, we proposed a new transmission scheme of the SU with power allocation scheme. The proposed scheme will only generate subcarrier-by-subcarrier interference. Therefore, it can easily satisfy the interference constraint of the PR and enhance the capacity of the SU. In addition, we derived the ergodic capacity of the SU. Based on numerical results, we confirmed that the proposed schemes could guarantee SU with a reliable capacity while satisfying the interference constraint of the PU. In addition, the derived capacity well matched the numerical results.