• 제목/요약/키워드: High-order scheme

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고차 형상함수를 이용한 고속 가스부상 FE 윤활해석 (FE Lubrication Analyses of High-Speed Gas-Levitation Applications using High-Order Shape Function)

  • 이안성;김준호
    • Tribology and Lubricants
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    • 제20권1호
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    • pp.14-20
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    • 2004
  • In high-speed gas-levitation applications a high compressibility number may bring a numerical difficulty in predicting generated pressure profiles accurately as it causes erroneous sudden pressure overshoot and oscillation in the trailing-edge. To treat the problem, in this study an exact exponential high-order shape function is introduced in the FE lubrication analyses. It is shown by various example applications that the high-order shape function scheme can successfully subdue undesired pressure overshoot and oscillation.

Numerical Analysis of the Three-Dimensional Wake Flow and Acoustic Field around a Circular Cylinder

  • Kim, Tae-Su;Kim, Jae-Soo
    • International Journal of Aeronautical and Space Sciences
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    • 제11권4호
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    • pp.319-325
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    • 2010
  • For decades, researchers have rigorously studied the characteristics of flow traveling around blunt objects in order to gain greater understanding of the flow around aircraft, vehicles or vessels. Many different types of flow exist, such as boundary layer flow, flow separation, laminar and turbulent flow, vortex and vortex shedding; such types are especially observed around circular cylinders. Vortex shedding around a circular cylinder exhibits a two-dimensional flow structure possessing a Reynolds number within the range of 47 and 180. As the Reynolds number increases, the Karman vortex changes into a three-dimensional flow structure. In this paper, a numerical analysis was performed examining the flow and aero-acoustic field characteristics around a circular cylinder using an optimized high-order compact scheme, which is a high order scheme. The analysis was conducted with a Reynolds number ranging between 300 and 1,000, which belongs to B-mode flow around a circular cylinder. For a B-mode Reynolds number, a proper spanwise length is analyzed in order to obtain the characteristics of three-dimensional flow. The numerical results of the Strouhal number as well as the lift and drag coefficients according to Reynolds numbers are coincident with the other experimental results. Basic research has been conducted studying the effects an unstable three-dimensional wake flow on an aero-acoustic field.

MULTIGRID METHOD FOR AN ACCURATE SEMI-ANALYTIC FINITE DIFFERENCE SCHEME

  • Lee, Jun-S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제7권2호
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    • pp.75-81
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    • 2003
  • Compact schemes are shown to be effective for a class of problems including convection-diffusion equations when combined with multigrid algorithms [7, 8] and V-cycle convergence is proved[5]. We apply the multigrid algorithm for an semianalytic finite difference scheme, which is desinged to preserve high order accuracy despite of singularities.

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ON A SIMPLE HIGH ORDER NUMERICAL DIFFERENTIATION USING THE LAGRANGE INTERPOLATION

  • HAHM N.;YANG M.;HONG B. I.
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.527-535
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    • 2005
  • Numerical differentiation is one of the main topics which have been studied by many researchers. If we use the forward difference scheme or the centered difference scheme, the convergence rates to the derivative are O(h) and O($h^2$), respectively. In this paper, using the Lagrange Interpolation, we construct a simple high order numerical differentiation scheme which has the convergence rate O($h^{2k}$) if we have 2k+1 equally spaced nodes. Our scheme is constructive.

Two-Dimensional Adaptive Mesh Generation Algorithm and its Application with Higher-Order Compressible Flow Solver

  • Phongthanapanich, Sutthisak;Dechaumphai, Pramote
    • Journal of Mechanical Science and Technology
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    • 제18권12호
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    • pp.2190-2203
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    • 2004
  • A combined procedure for two-dimensional Delaunay mesh generation algorithm and an adaptive remeshing technique with higher-order compressible flow solver is presented. A pseudo-code procedure is described for the adaptive remeshing technique. The flux-difference splitting scheme with a modified multidimensional dissipation for high-speed compressible flow analysis on unstructured meshes is proposed. The scheme eliminates nonphysical flow solutions such as the spurious bump of the carbuncle phenomenon observed from the bow shock of the flow over a blunt body and the oscillation in the odd-even grid perturbation in a straight duct for the Quirk's odd-even decoupling test. The proposed scheme is further extended to achieve higher-order spatial and temporal solution accuracy. The performance of the combined procedure is evaluated on unstructured triangular meshes by solving several steady-state and transient high-speed compressible flow problems.

HIGH-ORDER WEIGHTED DIFFERENCE SCHEMESTHE CONVECTION-DIFFUSION PROBLEMS

  • Choo, S.M.;Chung, S.K.;Kim, Y.H.
    • 대한수학회논문집
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    • 제14권4호
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    • pp.815-832
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    • 1999
  • High-order weighted difference schemes with uniform meshes are considered for the convection-diffusion problem depending on Reynolds numbers. For small Reynolds numbers, a weighed cen-tral difference scheme is suggested since there is no boundary layer. For large Reynolds numbers, we propose a modified up wind method with an artificial diffusion in order to overcome nonphysical oscilla-tion of central schemes and obtain good accuracy in the boundary later. Existence and corresponding error estimates of the solution for the difference scheme have been shown. Numerical experiments are provided to back up the analysis.

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물-기체 2상 유동 해석을 위한 Semi-Implicit 방법의 대류항에 대한 2차 정확도 확장 (IMPLEMENTATION OF A SECOND-ORDER INTERPOLATION SCHEME FOR THE CONVECTIVE TERMS OF A SEMI-IMPLICIT TWO-PHASE FLOW ANALYSIS SOLVER)

  • 조형규;이희동;박익규;정재준
    • 한국전산유체공학회지
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    • 제14권4호
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    • pp.13-22
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    • 2009
  • A two-phase (gas and liquid) flow analysis solver, named CUPID, has been developed for a realistic simulation of transient two-phase flows in light water nuclear reactor components. In the CUPID solver, a two-fluid three-field model is adopted and the governing equations are solved on unstructured grids for flow analyses in complicated geometries. For the numerical solution scheme, the semi-implicit method of the RELAP5 code, which has been proved to be very stable and accurate for most practical applications of nuclear thermal hydraulics, was used with some modifications for an application to unstructured non-staggered grids. This paper is concerned with the effects of interpolation schemes on the simulation of two-phase flows. In order to stabilize a numerical solution and assure a high numerical accuracy, the second-order upwind scheme is implemented into the CUPID code in the present paper. Some numerical tests have been performed with the implemented scheme and the comparison results between the second-order and first-order upwind schemes are introduced in the present paper. The comparison results among the two interpolation schemes and either the exact solutions or the mesh convergence studies showed the reduced numerical diffusion with the second-order scheme.

A Simple Negative Torque Compensation Scheme for a High Speed Switched Reluctance Motor

  • Lee, Dong-Hee;Ahn, So-Yeon;Ahn, Jin-Woo
    • Journal of Power Electronics
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    • 제12권1호
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    • pp.58-66
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    • 2012
  • SRMs(Switched Reluctance Motors) are much interested in high speed applications due to the mechanical robustness, simple structure and high efficiency. In spite of many advantages of SRMs, a higher torque ripple discourages the adoption of SRMs in a high speed application. This paper presents a simple negative torque of tail current compensation scheme using a modified TSF(Torque Sharing Function) for the high speed SRMs. Because of the short commutation in the high speed region, the negative torque from the tail current makes the high torque ripple. In order to reduce and compensate the negative torque from tail current, the proposed control scheme produces an additional compensating torque with a reference torque in the active phase winding. And the compensating value is dependent on the tail current of the inactive phase winding. Furthermore, the switching signals of the outgoing phase are fully turned off to restrict the extended tail current, and the torque error of the outgoing phase is compensated by the incoming phase. The proposed modified TSF control scheme is verified by the computer simulations with 30,000[rpm] high speed 4/2 SRM. The simulation and experimental results show the effectiveness of the proposed control scheme.

베이스 에러율의 상위 경계 최소화에 기반한 고차 곱 근사 방법과 숫자 인식기 결합에의 적용 (A High Order Product Approximation Method based on the Minimization of Upper Bound of a Bayes Error Rate and Its Application to the Combination of Numeral Recognizers)

  • 강희중
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제28권9호
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    • pp.681-687
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    • 2001
  • 다수의 인식기를 결합하여 베이지안 결정 이론 하에서 클래스 분별력을 높이려면, 훈련 데이터 샘플로부터 얻은 클래스 변수와 결정 변수들로 구성된 조건부 엔트로피에 의해서 한정되는 베이스 에러율의 상위 경계를 최소화해야 한다. Wang과 Wong은 베이스 에러율의 상위 경계를 최소화하기 위하여 클래스 변수와 다수의 특징 패턴 변수들로 구성된 고차 확률 분포를 트리 의존관계로 근사하는 1차 근사 방법을 제안하였다. 본 논문에서는 이러한 베이스 에러율의 상위 경계 최소화에 기반한 기존의 1차 트리 의존관계 근사 방법을 확장하여 고차 의존관계까지 고려할 수 있는 확장된 곱 고차 근사 방법을 제안한다. 제안된 근사 방법을 CENPARMI의 무제약 필기 숫자를 인식하는 다수의 숫자 인식기 결합 방법에 적용하여 인식 실험을 하였으며, 이 방법에 의해서 보다 높은 인식율을 얻게 되었다.

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