• Title/Summary/Keyword: Numerical Scheme

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Outage Analysis and Power Allocation for Distributed Space-Time Coding-Based Cooperative Systems over Rayleigh Fading Channels

  • Lee, In-Ho
    • Journal of information and communication convergence engineering
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    • v.15 no.1
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    • pp.21-27
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    • 2017
  • In this research, we study the outage probability for distributed space-time coding-based cooperative (DSTC) systems with amplify-and-forward relaying over Rayleigh fading channels with a high temporal correlation where the direct link between the source and the destination is available. In particular, we derive the upper and lower bounds of the outage probability as well as their corresponding asymptotic expressions. In addition, using only the average channel powers for the source-to-relay and relay-to-destination links, we propose an efficient power allocation scheme between the source and the relay to minimize the asymptotic upper bound of the outage probability. Through a numerical investigation, we verify the analytical expressions as well as the effectiveness of the proposed efficient power allocation. The numerical results show that the lower and upper bounds tightly correspond to the exact outage probability, and the proposed efficient power allocation scheme provides an outage probability similar to that of the optimal power allocation scheme that minimizes the exact outage probability.

Improved Digital Redesign for Fuzzy Systems: Compensated Bilinear Transform Approach

  • Kim, Do-Wan;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.6
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    • pp.765-770
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    • 2005
  • This paper presents a new intelligent digital redesign (IDR) method via the compensated bilinear transformation to design the digital controller such that the digital fuzzy system is equivalent to the analog fuzzy system in the sense of the state-matching. This paper especially consider a multirate control scheme with a predictive feature, where the digital control input is held constant N times between the sampling points. More precisely, the multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the state measured at the sampling points, the delayed measurements. For this system, the IDR conditions incorporated with stabilizability in the format of the linear matrix inequalities (LMIs) are derived. The superiority of the proposed technique is convincingly visualized through a numerical example.

Calculations of Pressure Difference in Orifice Flowmeter using CFD (CFD를 이용한 오리피스 유량계의 차압계산)

  • Kim, Hong-Min;Kim, Kwang-Yong;Her, Jae-Young;Ha, Young-Chul
    • 유체기계공업학회:학술대회논문집
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    • 2001.11a
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    • pp.400-403
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    • 2001
  • In this study, commercial CFD code, i.e, CFX-4.3 is used to analyze the flow field and to calculate pressure differences in an orifice flowmeter. Four numerical schemes and five turbulence models are tested. Hybrid scheme and Reynolds stress model show the best performance. Chosen scheme and turbulence model are applied to predict pressure differences through the orifice for the diameter ratios, 0.3, 0.5, and 0.7. And, the results are compared with the experimental data. The results show that the calculation error is inversely proportional to the diameter ratio, and is proportional to the mass flow rate.

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Numerical Analysis of Transonic Laminar Flow in Turbomachinery Using Finite Volume Method(I) Cascade Flow Analysis (유한체적법을 이용한 터보기계 회전차내부의 천이음속.층류 유동해석 (I) 익렬 유동해석)

  • 조강래;오종식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.445-451
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    • 1993
  • For the calculation of transonic laminar flow fields in cascades of turbomachinery, a finite volume method employing Jameson's Runge-Kutta integration scheme as a basic algorithm is presented. The cell-vertex scheme introducing half-spacing mesh cells is developed. For the velocity gradients in the stress terms the integration with divergence theorem is used for the average concept. Some numerical results show good agreement with experimental data.

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

  • Ahn Hee-Sub;Sohn Chang-Hyun;Moon Su-Yeon
    • Journal of computational fluids engineering
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    • v.5 no.2
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    • pp.1-8
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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 are 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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Numerical study of CEDS scheme for turbulent flow (난류 유동장에 대한 CFDS 기법의 수치적 연구)

  • Moon Seong Mok;Kim Chongam;Rho Oh Hyun;Hong Seung Kyu
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.23-26
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    • 2002
  • An evaluation of one algebraic and two one-equation eddy viscosity-transport turbulence closure models as implemented to the CFDS(Characteristic Flux Difference Splitting) scheme is presented for the efficient computation of the turbulent flow. Comparisons of Baldwin-Lomax model as algebraic turbulence model and Baldwin-Barth and Spalart-Allmaras model as one-equation turbulence model are presented for three test cases for 3-dimensional flow. The numerical result of the CFDS schem is examined through comparison with the experimental data.

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Flow-Guider Applied to Controlling Current in a Bay (도류제에 의한 항만내 조류제어 연구)

  • 양찬규;홍기용
    • Journal of Ocean Engineering and Technology
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    • v.11 no.4
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    • pp.141-151
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    • 1997
  • This paper deals with a numerical study of flow-guider applied to controlling current in a bay. Two dimensional numerical model for tidal currents based on the depth averaged equation is developed and standard k-.epsilon. model is adopted to determine the turbulence diffusion. Equations are described in a generalized coordinate system to be implemented by non-staggered grid system and discretized by using finite volume method. Unsteady flow is simulated by fully implicit scheme. Hybrid scheme and central differencing are used to compute the convective terms and source terms, respectively. The tidal current in a rectangular bay is simulated and it gives satisfactory results. The realistic and distinct models of a large structure placed in bay are also exemplified with or without flow-guiders. The simulation results show that the flow-guider gives the residual tidal current in the bay by the different flux with respect to the direction of tidal current.

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NUMERICAL METHOD FOR A 2NTH-ORDER BOUNDARY VALUE PROBLEM

  • Xu, Chenmei;Jian, Shuai;Wang, Bo
    • Journal of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.715-725
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    • 2013
  • In this paper, a finite difference scheme for a two-point boundary value problem of 2nth-order ordinary differential equations is presented. The convergence and uniqueness of the solution for the scheme are proved by means of theories on matrix eigenvalues and norm. Numerical examples show that our method is very simple and effective, and that this method can be used effectively for other types of boundary value problems.

A CONSISTENT DISCONTINUOUS BUBBLE SCHEME FOR ELLIPTIC PROBLEMS WITH INTERFACE JUMPS

  • KWONG, IN;JO, WANGHYUN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.2
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    • pp.143-159
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    • 2020
  • We propose a consistent numerical method for elliptic interface problems with nonhomogeneous jumps. We modify the discontinuous bubble immersed finite element method (DB-IFEM) introduced in (Chang et al. 2011), by adding a consistency term to the bilinear form. We prove optimal error estimates in L2 and energy like norm for this new scheme. One of the important technique in this proof is the Bramble-Hilbert type of interpolation error estimate for discontinuous functions. We believe this is a first time to deal with interpolation error estimate for discontinuous functions. Numerical examples with various interfaces are provided. We observe optimal convergence rates for all the examples, while the performance of early DB-IFEM deteriorates for some examples. Thus, the modification of the bilinear form is meaningful to enhance the performance.

A Study on the Level-Set Scheme for the Analysis of the Free Surface Flow by a Finite Volume Method (유한체적법에 의한 자유수면 유동해석에서 Level-Set 기법에 대한 연구)

  • Il-Ryong Park;Ho-Hwan Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.2
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    • pp.40-49
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    • 1999
  • A Finite Volume Method for the two-dimensional incompressible, two-fluids Navies-Stokes equation and level-set scheme are used to analyse the interface of two fluids, free-surface flow. The numerical characteristics and the applicability of level-set scheme are brief1y investigated and appraised by solving oscillating small surface wave in a water tank and dam break problems. In the numerical results, a method for improving the convergence of the solution is presented.

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