• 제목/요약/키워드: second order accuracy

검색결과 559건 처리시간 0.023초

비장착 엔진/나셀 형상에 대한 3차원 Euler 유동 해석 (Calculations of 3D Euler Flows around an Isolated Engine/Nacelle)

  • 김수미;양수석;이대성
    • 한국전산유체공학회지
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    • 제2권2호
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    • pp.51-58
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    • 1997
  • A reliable computational solver has been developed for the analysis of three-dimensional inviscid compressible flows around a nacelle of a high bypass ratio turbofan engine, The numerical algorithm is based on the modified Godunov scheme to allow the second order accuracy for space variables, while keeping the monotone features. Two step time integration is used not only to remove time step limitation but also to provide the second order accuracy in a time variable. The multi-block approach is employed to calculate the complex flow field, using an algebraic, conformal, and elliptic method. The exact solution of Riemann problem is used to define boundary conditions. The accuracy of the developed solver is validated by comparing its results around the isolated nacelle in the cruise flight regime with the solution obtained using a commercial code "RAMPANT. "

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Development of a Virtual Reference Station-based Correction Generation Technique Using Enhanced Inverse Distance Weighting

  • Tae, Hyunu;Kim, Hye-In;Park, Kwan-Dong
    • Journal of Positioning, Navigation, and Timing
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    • 제4권2호
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    • pp.79-85
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    • 2015
  • Existing Differential GPS (DGPS) pseudorange correction (PRC) generation techniques based on a virtual reference station cannot effectively assign a weighting factor if the baseline distance between a user and a reference station is not long enough. In this study, a virtual reference station DGPS PRC generation technique was developed based on an enhanced inverse distance weighting method using an exponential function that can maximize a small baseline distance difference due to the dense arrangement of DGPS reference stations in South Korea, and its positioning performance was validated. For the performance verification, the performance of the model developed in this study (EIDW) was compared with those of typical inverse distance weighting (IDW), first- and second-order multiple linear regression analyses (Planar 1 and 2), the model of Abousalem (1996) (Ab_EXP), and the model of Kim (2013) (Kim_EXP). The model developed in the present study had a horizontal accuracy of 53 cm, and the positioning based on the second-order multiple linear regression analysis that showed the highest positioning accuracy among the existing models had a horizontal accuracy of 51 cm, indicating that they have similar levels of performance. Also, when positioning was performed using five reference stations, the horizontal accuracy of the developed model improved by 8 ~ 42% compared to those of the existing models. In particular, the bias was improved by up to 27 cm.

1차원 자유경계문제의 해석을 위한 Implicit 이동최소제곱 차분법 (Implicit Moving Least Squares Difference Method for 1-D Moving Boundary Problem)

  • 윤영철
    • 한국전산구조공학회논문집
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    • 제25권5호
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    • pp.439-446
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    • 2012
  • 본 논문은 1차원 자유경계문제 해석의 정확도 향상을 위해 이동최소제곱 차분법을 이용하여 이동경계의 위상변화를 implicit하게 추적하는 기법을 제시한다. 기존의 이동최소제곱 차분법은 이동경계의 위치를 explicit하게 진전시켜 반복계산은 필요없지만 해의 정확도 감소를 피할 수 없었다. 그러나 본 연구에서 제시한 implicit 기법은 전체 계방정식이 비선형 시스템이 되어 반복계산 과정이 필요하지만, 실제로 수치예제를 통해 검증해 본 결과 계산량의 큰 증가없이 해석의 정확도를 획기적으로 향상시켰다. 이동하는 미분불연속 특이성을 갖는 융해(melting)문제를 수치계산한 결과, implicit 이동최소제곱 차분법을 통해 2차정확도를 얻을 수 있음을 보였다.

GLONASS 측위를 위한 위성좌표 산출 정확도 향상 방안 (Accuracy Analysis of GLONASS Orbit Determination Strategies for GLONASS Positioning)

  • 이호석;박관동;김혜인
    • 한국측량학회지
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    • 제28권6호
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    • pp.573-578
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    • 2010
  • 위성항법시스템에서 정확한 위성궤도결정 기술은 측위 정확도 향상의 필수적인 조건이다. 이 연구에서는 GLONASS의 방송궤도력과 4차 Runge-Kutta 수치적분법을 이용하여 위성좌표를 결정하였으며, 적분간격과 적분시간에 따른 위성궤도의 정확도를 비교하였다. 적분간격에 따른 위성궤도 정확도분석결과, 적분간격이 l초일 때와 300초일 때의 3차원 RMS 오자의 차이가 3cm에 불과한 반면 처리시간은 100배 이상 향상되었다. 적분시간에 따른 위성좌표의 3차원 RMS 오차는 적분시간이 30분, 150분, 300분일 때 각각 8.3m, 187.3m, 661.5m로 나타났으며, 이를 통해 적분시간을 짧게 할수록 정확도가 향상되는 것을 확인하였다. 따라서 이 연구에서는 GLONASS 측위를 위한 위성좌표 결정의 정확도 향상을 위해 적분시간을 최소화할 수 있는 Forward와 Backward 적분을 적용하는 방안을 제안하였으며, 이와 같은 방법을 사용할 경우 5m이하의 위성좌표 산출 정확도를 확보할 수 있다.

최적화된 집적 유한 차분법을 위한 내재적 시간전진 기법의 개발 (Development of Optimized Compact Finite Difference Schemes)

  • 박노성;김재욱;이덕주
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 추계 학술대회논문집
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    • pp.7-12
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    • 1998
  • Optimized high-order compact(OHOC) schemes were proposed, which have high spatial order of truncation and resolution to simulate the aeroacoustic problems due to unsteady compressible flows. Generally, numerical schemes are categorized explicit or implicit by time-marching method. In this research, OHOC differences which were developed with explicit time-marching method is used to have implicit formulation and the implicit OHOC differences result in block hepta-diagonal matrix. This paper presents the comparisons between the explicit and implicit OHOC schemes with a second order accuracy of time in the 1-d linear wave convection problem, and between the explicit OHOC scheme of 4th-order accuracy in time and the implicit OHOC scheme of 1st-order accuracy in tine for the 1-d nonlinear wave convection problem. With these comparisons, the characteristics of implicit OHOC scheme are shown in the point of CFL number.

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일차출력 미분귀환을 갖는 아나로구 전자계산기용 써어보 승산기 (A Servo-Multiplier with First Derivative Output Feedback for Electronic Analog Computers.)

  • 한만춘;김권
    • 전기의세계
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    • 제14권2호
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    • pp.14-24
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    • 1965
  • The characteristics of servo-multipliers and its accuracies are analyzed. From the analysis a low cost high accuracy four quadrant servo-multiplier with first derivative output feedback is built. The multiplier servomechanism has a second order system response with a damping ratio of 0.8 and computing bandwidth of 4 cycles per second, and its tracking accuracy at low speed of 0.5 volt per second is 0.9 per cent of maximum output voltage and static accuracy is better than 0.6 per cent. Method of testing this multiplier and the results are also described. The test on the characteristics of the multiplier shows that the results agree with theoretical values satisfactorily, and justifies the use of the servo-multiplier for slow type analog computers.

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AN ENERGY-STABLE AND SECOND-ORDER ACCURATE METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • KIM, JEONGHO;JUNG, JINWOOK;PARK, YESOM;MIN, CHOHONG;LEE, BYUNGJOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권2호
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    • pp.93-114
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    • 2019
  • In this article, we introduce a finite difference method for solving the Navier-Stokes equations in rectangular domains. The method is proved to be energy stable and shown to be second-order accurate in several benchmark problems. Due to the guaranteed stability and the second order accuracy, the method can be a reliable tool in real-time simulations and physics-based animations with very dynamic fluid motion. We first discuss a simple convection equation, on which many standard explicit methods fail to be energy stable. Our method is an implicit Runge-Kutta method that preserves the energy for inviscid fluid and does not increase the energy for viscous fluid. Integration-by-parts in space is essential to achieve the energy stability, and we could achieve the integration-by-parts in discrete level by using the Marker-And-Cell configuration and central finite differences. The method, which is implicit and second-order accurate, extends our previous method [1] that was explicit and first-order accurate. It satisfies the energy stability and assumes rectangular domains. We acknowledge that the assumption on domains is restrictive, but the method is one of the few methods that are fully stable and second-order accurate.

비압축성유동의 수치계산을 위한 표준분할단계방법 및 일관된 경계조건의 개발 (Development of Canonical Fractional-Step Methods and Consistent Boundary Conditions for Computation of Incompressible Flows)

  • 이문주;오병도;김영배
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.404-409
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    • 2001
  • An account of second-order fractional-step methods and boundary conditions for the incompressible Navier-Stokes equations is presented. The present work has aimed at (i) identification and analysis of all possible splitting methods of second-order splitting accuracy; and (ii) determination of consistent boundary conditions that yield second-order accurate solutions. It has been found that only three types (D, P and M) of splitting methods called the canonical methods are non-degenerate so that all other second-order splitting schemes are either degenerate or equivalent to them. Investigation of the properties of the canonical methods indicates that a method of type D is recommended for computations in which the zero divergence is preferred, while a method of type P is better suited to the cases when highly-accurate pressure is more desirable. The consistent boundary conditions on the tentative velocity and pressure have been determined by a procedure that consists of approximation of the split equations and the boundary limit of the result. The pressure boundary condition is independent of the type of fractional-step methods. The consistent boundary conditions on the tentative velocity were determined in terms of the natural boundary condition and derivatives of quantities available at the current timestep (to be evaluated by extrapolation). Second-order fractional-step methods that admit the zero pressure-gradient boundary condition have been derived. The boundary condition on the new tentative velocity becomes greatly simplified due to improved accuracy built in the transformation.

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분포유사도를 이용한 문헌클러스터링의 성능향상에 대한 연구 (Improving the Performance of Document Clustering with Distributional Similarities)

  • 이재윤
    • 정보관리학회지
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    • 제24권4호
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    • pp.267-283
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    • 2007
  • 이 연구에서는 분포 유사도를 문헌 클러스터링에 적용하여 전통적인 코사인 유사도 공식을 대체할 수 있는 가능성을 모색해보았다. 대표적인 분포 유사도인 KL 다이버전스 공식을 변형한 Jansen-Shannon 다이버전스, 대칭적 스큐 다이버전스, 최소스큐 다이버전스의 세 가지 공식을 문헌 벡터에 적용하는 방안을 고안하였다. 분포 유사도를 적용한 문헌 클러스터링 성능을 검증하기 위해서 세 실험 집단을 대상으로 두 가지 실험을 준비하여 실행하였다. 첫 번째 문헌클러스터링실험에서는 최소스큐다이버전스가 코사인 유사도 뿐만 아니라 다른 다이버전스공식의 성능도 확연히 앞서는 뛰어난 성능을 보였다. 두번째 실험에서는 피어슨 상관계수를 이용하여1차 유사도 행렬로부터2차 분포 유사도를 산출하여 문헌 클러스터링을 수행하였다. 실험결과는 2차 분포 유사도가 전반적으로더 좋은 문헌 클러스터링성능을 보이는 것으로 나타났다. 문헌클러스터링에서 처리 시간과 분류 성능을 함께 고려한다면 이 연구에서 제안한 최소 스큐 다이버전스 공식을 사용하고, 분류 성능만 고려할 경우에는 2차 분포 유사도 방식을 사용하는 것이 바람직하다고 판단된다.

Finite-Time Convergent Guidance Law Based on Second-Order Sliding Mode Control Theory

  • Ji, Yi;Lin, Defu;Wang, Wei;Lin, Shiyao
    • International Journal of Aeronautical and Space Sciences
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    • 제18권4호
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    • pp.697-708
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    • 2017
  • The complex battlefield environment makes it difficult to intercept maneuvering targets for guided missiles. In this paper, a finite-time convergent (FTC) guidance law based on the second-order sliding mode (SOSM) control theory is proposed to achieve the requirements of stability, accuracy and robustness. More specifically, a second-order sliding mode observer (SMOB) is used to estimate and compensate for the total disturbance of the controlled system, while the target acceleration is extracted from the line-of-sight (LOS) angle measurement. The proposed guidance law can drive the LOS angular rate converge to zero in a finite time, which means that the missile will accurately intercept the target. Numerical simulations with some comparisons are performed to demonstrate the superiority of the proposed guidance law.