• 제목/요약/키워드: pseudo-spectral method

검색결과 44건 처리시간 0.025초

A Comparative Study of Transcription Techniques for Nonlinear Optimal Control Problems Using a Pseudo-Spectral Method

  • Kim, Chang-Joo;Sung, Sangkyung
    • International Journal of Aeronautical and Space Sciences
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    • 제16권2호
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    • pp.264-277
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    • 2015
  • This article investigates various transcription techniques for the Legendre pseudospectral (PS) method to compare the pros and cons of each approach. Eight combinations from four different types of collocation points and two discretization methods for dynamic constraints, which differentiate Legendre PS transcription techniques, are implemented to solve a carefully selected test set of nonlinear optimal control problems (NOCPs). The convergence property and prediction accuracy are compared to provide a useful guideline for selecting the best combination. The tested NOCPs consist of the minimum time, minimum energy, and problems with state and control constraints. Therefore, the results drawn from this comparative study apply to the solution of similar types of NOCPs and can mitigate much debate about the best combinations. Additionally, important findings from this study can be used to improve the numerical efficiency of the Legendre PS methods. Three PS applications to the aerospace engineering problems are demonstrated to prove this point.

차압교란치의 통계적 특성에 의한 2상유동양식의 판별 (Identification of Two-Phase Flow Patterns Based on Statistical Characteristics of Differential Pressure Fluctuations)

  • 이상천;이정표;김중엽
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1290-1299
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    • 1990
  • 본 연구에서는 이러한 개념을 확장하여 직경이 26nm와 38nm인 두 개의 수평관 내 기액 2상유동에서 오리피스의 차압교란치의 확률밀도함수, 자기상관함수와 파워 스 펙트럼 밀도함수를 구하여 유동양식에 따른 이 들 통계치의 특성을 구명하였다. 본 연구에서 다룬 유동양식은 기포, 플러그, 슬러그, 성층, 파상, 환상, pseudo-slug 유 동이다. 이 결과 차압교란치의 통계적 해석을 통한 유동양식 판별법이 매우 유용하 다는 사실을 밝혔으며, 또 본 판별법을 관내 압력강하치의 통계적 해석을 통하여 유동 양식을 구분한 타 연구자들의 방법과 비교 분석하였다.

The Onset and Growth of the Buoyancy-driven Fingering Driven by the Irreversible A+B→C Reaction in a Porous Medium: Reactant Ratio Effect

  • Kim, Min Chan
    • Korean Chemical Engineering Research
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    • 제59권1호
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    • pp.138-151
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    • 2021
  • The effect of a reactant ratio on the growth of a buoyancy-driven instability in an irreversible A+B→C reaction system is analyzed theoretically and numerically. Taking a non-stoichiometric reactant ratio into account, new linear stability equations are derived without the quasi-steady state assumption (QSSA) and solved analytically. It is found that the main parameters to explain the present system are the Damköhler number, the dimensionless density difference of chemical species and the ratio of reactants. The present initial grow rate analysis without QSSA shows that the system is initially unconditionally stable regardless of the parameter values; however, the previous initial growth rate analysis based on the QSSA predicted the system is unstable if the system is physically unstable. For time evolving cases, the present growth rates obtained from the spectral analysis and pseudo-spectral method support each other, but quite differently from that obtained under the conventional QSSA. Adopting the result of the linear stability analysis as an initial condition, fully nonlinear direct numerical simulations are conducted. Both the linear analysis and the nonlinear simulation show that the reactant ratio plays an important role in the onset and the growth of the instability motion.

부분 내재적 체비셰브 스펙트럴 기법을 이용한 주기적인 비정상 유동 해석 (Partially Implicit Chebyshev Pseudo-spectral Method for a Periodic Unsteady Flow Analysis)

  • 임동균
    • 항공우주시스템공학회지
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    • 제14권3호
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    • pp.17-23
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    • 2020
  • 본 연구는 Chebyshev collocation operator를 지배 방정식의 시간 미분항에 적용하여 비정상 유동해석을 해석할 수 있는 기법을 개발한 논문이다. 시간적분으로 유속항은 내재적으로 처리하였으며 시간 미분항은 Chebyshev collocation operator을 적용하여 원천항 형태로 외재적으로 처리하여 부분 내재적 시간적분법을 적용하였다. 본 연구의 방법을 검증하기 위해 1차원 비정상 burgers 방정식과 2차원 진동하는 airfoil에 적용하였으며 기존의 비정상 유동 주파수 해석기법과 시험 결과를 비교하여 나타내었다. Chebyshev collocation operator는 주기적인 문제와 비주기적인 문제에 대해서 시간 미분항을 처리할 수 있으므로 추후 비주기적인 문제에 적용할 예정이다.

수심 제한을 고려한 수중 글라이더 경로 최적화 (Trajectory Optimization for Underwater Gliders Considering Depth Constraints)

  • 윤석민;김진환
    • 한국해양공학회지
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    • 제28권6호
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    • pp.560-565
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    • 2014
  • In this study, the problem of trajectory optimization for underwater gliders considering depth constraints is discussed. Typically, underwater gliders are controlled to dive and climb in a saw-tooth pattern at constant gliding angles. This approach is effective and close to optimal for deep water applications. However, the optimal path deviates from the saw-tooth path in shallow water conditions. This study focuses on finding more efficient gliding paths that can minimize the traverse time in the horizontal plane when the water depth is limited. The trajectory optimization problem is formulated into a minimum time control problem with inequality path constraints and hydrodynamic drag effects. A numerical approach based on the pseudo-spectral method is adopted as a solution approach, and the simulation results are presented.

스펙트럼 변조를 이용한 청각정보의 촉감재현 가능성 연구 (Feasibility Study on Audio-Tactile Display via Spectral Modulation)

  • 곽현구;김희국;정주노;강대임;박연규;구민모
    • 한국정밀공학회지
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    • 제28권5호
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    • pp.638-647
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    • 2011
  • Various approaches directly using vibrations of speakers have been suggested to effectively display the aural information such as the music to the hearing-impaired or the deaf. However, in these approaches, the human can't sense the frequency information over the maximum perceivable vibro-tactile frequency (around 1kHz). Therefore, in this study, an approach via spectral modulation of compressing the high frequency audio information into perceivable vibro-tactile frequency domain and outputting the modulated signals through the designated speakers is proposed. Then it is shown, through simulations of using Short-Time Fourier Transform (STFT) with Hanning windows and through preliminary experiments of using the vibro-tactile display testbed which is built and interfaced with a notebook PC, that the modulated signal of a natural sound composing sounds of a frog, a bird, and a water stream could produce the noise-free signal suitable enough for vibro-tactile speakers without causing Significant interfering disturbances, Lastly, for three different combinations of information provided to the subject, that is, i) with only video image, ii) with video image along with the modulated vibro-tactile stimuli as proposed in this study to the forearm of the subject, and iii) with video image along with full audio information, the effects to the human sense of reality and his emotion to given audio-video clips including various sounds and images are investigated and compared. It is shown from results of those experiments that the proposed method of providing modulated vibro-tactile stimuli along with the video images to the human has very high feasibility to transmit pseudo-aural sense to the human.

Feasibility study of using triple-energy CT images for improving stopping power estimation

  • Yejin Kim;Jin Sung Kim ;Seungryong Cho
    • Nuclear Engineering and Technology
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    • 제55권4호
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    • pp.1342-1349
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    • 2023
  • The planning accuracy of charged particle therapy (CPT) is subject to the accuracy of stopping power (SP) estimation. In this study, we propose a method of deriving a pseudo-triple-energy CT (pTECT) that can be achievable in the existing dual-energy CT (DECT) systems for better SP estimation. In order to remove the direct effect of errors in CT values, relative CT values according to three scanning voltage settings were used. CT values of each tissue substitute phantom were measured to show the non-linearity of the values thereby suggesting the absolute difference and ratio of CT values as parameters for SP estimation. Electron density, effective atomic number (EAN), mean excitation energy and SP were calculated based on these parameters. Two of conventional methods were implemented and compared to the proposed pTECT method in terms of residuals, absolute error and root-mean-square-error (RMSE). The proposed method outperformed the comparison methods in every evaluation metrics. Especially, the estimation error for EAN and mean excitation using pTECT were converging to zero. In this proof-of-concept study, we showed the feasibility of using three CT values for accurate SP estimation. Our suggested pTECT method indicates potential clinical utility of spectral CT imaging for CPT planning.

폴리머 첨가제에 의한 항력감소 난류 채널 유동장의 직접수치모사 (DNS of Drag-Reduced Turbulent Channel Flow due to Polymer Additives)

  • 김경연
    • 대한기계학회논문집B
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    • 제34권8호
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    • pp.799-807
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    • 2010
  • 폴리머 첨가제에 의한 항력감소 난류 채널 유동에 대한 직접수치모사를 스펙트럴 기법을 통해 수치적으로 해석하였다. 마찰속도 및 채널 높이의 절반으로 무차원화한 레이놀즈수는 395 이며, 폴리머 첨가제에 의해 발생하는 폴리머 응력은 FENE-P 모델을 통해 고려하였다. 폴리머 분자의 이완 시간 및 최대 연신 한계와 같은 FENE-P 모델 인자는 항력감소율에 큰 영향을 끼치는 것으로 나타났다. 항력감소율이 낮은 유동과 높은 유동에 대해 항력감소에 따른 난류 통계량의 변화를 조사하였다. 또한, 동일한 항력감소율을 갖는 유동에 대해, 서로 다른 FENE-P 모델 인자가 난류 통계량의 변화에 미치는 영향도 조사하였다. 최종적으로, Li 등(2006) 이 제시한 유변학 인자들과 항력감소율과의 상관관계식을 본 수치해석 결과를 통해 확인하였다.

Partial Discharge Signal Denoising using Adaptive Translation Invariant Wavelet Transform-Online Measurement

  • Maheswari, R.V.;Subburaj, P.;Vigneshwaran, B.;Iruthayarajan, M. Willjuice
    • Journal of Electrical Engineering and Technology
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    • 제9권2호
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    • pp.695-706
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    • 2014
  • Partial discharge (PD) measurements have emerged as a dominant investigative tool for condition monitoring of insulation in high voltage equipment. But the major problem behind them the PD signal is severely polluted by several noises like White noise, Random noise, Discrete Spectral Interferences (DSI) and the challenge lies with removing these noise from the onsite PD data effectively which leads to preserving the signal for feature extraction. Accordingly the paper is mainly classified into two parts. In first part the PD signal is artificially simulated and mixed with white noise. In second part the PD is measured then it is subjected to the proposed denoising techniques namely Translation Invariant Wavelet Transform (TIWT). The proposed TIWT method remains the edge of the original signal efficiently. Additionally TIWT based denoising is used to suppress Pseudo Gibbs phenomenon. In this paper an attempt has been made to review the methodology of denoising the PD signals and shows that the proposed denoising method results are better when compared to other wavelet-based approaches like Fast Fourier Transform (FFT), Discrete Wavelet Transform (DWT), by evaluating five different parameters like, Signal to noise ratio, Cross-correlation coefficient, Pulse amplitude distortion, Mean square error, Reduction in noise level.

자동 PIF 추출을 통한 Hyperion 초분광영상의 상대 방사정규화 - 변화탐지를 목적으로 (Relative Radiometric Normalization of Hyperion Hyperspectral Images Through Automatic Extraction of Pseudo-Invariant Features for Change Detection)

  • 김대성;김용일
    • 한국측량학회지
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    • 제26권2호
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    • pp.129-137
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    • 2008
  • 지상의 정보를 주기적으로 취득하는 위성영상은 여러 가지 원인으로 인해 동일 지점에 대해 일정한 화소값을 기대하기 어렵고, 이런 영상은 변화탐지 결과에 영향을 미칠 가능성이 높으므로 방사보정을 통해 화소값 차이를 최소화시킬 필요가 있다. 본 연구는 변화탐지를 위한 전처리 과정 중 하나인 방사정규화에 초점을 맞추고 있다. 이를 위해 시간적 불변특성을 보이는 화소인 PIF를 추출하고, 선형회귀 기법을 이용하여 상대 방사정규화를 수행하였다. 화소간 유사도 측정 기법인 분광각을 통해 PIF를 자동으로 추출함으로써, 초분광영상이 가지는 많은 밴드의 장점을 활용하였다 또한 반복적인 정량 평가를 통해 적절한 PIF 개수를 결정하는 연구도 함께 수행하였다. 영상회귀, 히스토그램 매칭, FLAASH 기법을 적용한 방사보정 결과와 비교하여 제안된 알고리즘의 성능을 평가하였으며, PIF 추출을 통한 선형회귀 기법이 변화탐지를 위한 방사보정에 보다 효과적으로 적용될 수 있음을 확인하였다.