• 제목/요약/키워드: well-balanced scheme

검색결과 45건 처리시간 0.024초

2차원 유한체적모형을 이용한 댐 붕괴파 모의에 관한 연구 (A Study on Simulation of Dam-break Wave Using Two-dimensional Finite Volume Model)

  • 정우창;박영진
    • 한국수자원학회논문집
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    • 제44권3호
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    • pp.249-262
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    • 2011
  • 본 연구에서는 댐 붕괴파와 같이 연속 및 불연속 흐름해석에 적용되고 있는 HLLC 기법을 불규칙한 하상지형에서의 흐름해석에 적용할 때 생성항과 흐름률항의 사이의 수치적 불균형으로 인한 수치진동을 감소시키기 위해 well-balanced HLLC 기법과 천수방정식에 근거한 비구조적 유한체적모형을 개발하였으며, 이를 댐 붕괴파 문제에 적용하였다. 적용된 well-balanced HLLC 기법은 단순히 흐름률항을 계산할 때 하상지형경사를 직접 포함시키는 것으로 정상상태의 천이류에 적용하였을 때 생성항과 흐름률항 사이에 수치적 균형이 이루어짐을 확인하였다. 수치모형의 검증을 위해 댐 붕괴파 문제와 관련된 세 가지 서로 다른 수리모형실험과 프랑스 Mapasset 댐 붕괴에 대한 현장사례에 적용하였으며, 적용결과 본 연구에서 개발된 모형은 수리모형실험 그리고 현장에서 관측된 결과와 비교적 잘 일치하는 것으로 나타났으며, 기존의 모형으로부터 계산된 모의결과에 비해 비교적 정확한 결과를 나타내었다.

A well-balanced PCCU-AENO scheme for a sediment transport model

  • Ndengna, Arno Roland Ngatcha;Njifenjou, Abdou
    • Ocean Systems Engineering
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    • 제12권3호
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    • pp.359-384
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    • 2022
  • We develop in this work a new well-balanced preserving-positivity path-conservative central-upwind scheme for Saint-Venant-Exner (SVE) model. The SVE system (SVEs) under some considerations, is a nonconservative hyperbolic system of nonlinear partial differential equations. This model is widely used in coastal engineering to simulate the interaction of fluid flow with sediment beds. It is well known that SVEs requires a robust treatment of nonconservative terms. Some efficient numerical schemes have been proposed to overcome the difficulties related to these terms. However, the main drawbacks of these schemes are what follows: (i) Lack of robustness, (ii) Generation of non-physical diffusions, (iii) Presence of instabilities within numerical solutions. This collection of drawbacks weakens the efficiency of most numerical methods proposed in the literature. To overcome these drawbacks a reformulation of the central-upwind scheme for SVEs (CU-SVEs for short) in a path-conservative version is presented in this work. We first develop a finite-volume method of the first order and then extend it to the second order via the averaging essentially non oscillatory (AENO) framework. Our numerical approach is shown to be well-balanced positivity-preserving and shock-capturing. The resulting scheme could be seen as a predictor-corrector method. The accuracy and robustness of the proposed scheme are assessed through a carefully selected suite of tests.

WELL-BALANCED ROE-TYPE NUMERICAL SCHEME FOR A MODEL OF TWO-PHASE COMPRESSIBLE FLOWS

  • Thanh, Mai Duc
    • 대한수학회지
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    • 제51권1호
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    • pp.163-187
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    • 2014
  • We present a multi-stage Roe-type numerical scheme for a model of two-phase flows arisen from the modeling of deflagration-to-detonation transition in granular materials. The first stage in the construction of the scheme computes the volume fraction at every time step. The second stage deals with the nonconservative terms in the governing equations which produces states on both side of the contact wave at each node. In the third stage, a Roe matrix for the two-phase is used to apply on the states obtained from the second stage. This scheme is shown to capture stationary waves and preserves the positivity of the volume fractions. Finally, we present numerical tests which all indicate that the proposed scheme can give very good approximations to the exact solution.

도시지역을 관통하는 홍수파의 특성에 관한 수치적 연구 (1) : 수치모형의 개발 및 검증 (A Numerical Study on Characteristics of Flood Wave Passing through Urban Areas (1) : Development and Verification of a Numerical Model)

  • 정우창;이진우;조용식
    • 한국방재학회 논문집
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    • 제9권6호
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    • pp.89-97
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    • 2009
  • 본 연구에서는 도시지역을 관통하는 댐 붕괴파의 전파특성을 모의하고 분석하기 위한 선행 작업으로 천수방정식과 well-balanced HLLC 기법에 근간을 둔 2차원 비구조적 유한체적모형을 개발하였다. 개발된 모형은 다양한 1차원과 2차원의 댐 붕괴파 해석과 관련된 문제에 대해 검증되었으며, 검증결과 해석해 및 수리모형실험을 통한 실측자료와 매우 일치하는 경향을 나타냈다. 본 연구에서 개발된 수치모형은 현장에서 그리고 수리모형실험을 통해 관측된 수위자료와 잘 일치하였으며, 기존의 모형으로부터 계산된 수위결과에 비해 비교적 보다 정확한 결과를 나타내었다.

A Fuzzy BOXES Scheme for the Cartpole Control

  • Kwon, Sung-Gyu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1710-1715
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    • 2005
  • Two fuzzy controllers are coordinated to control a cartpole such that the pole is balanced as well as the cart is brought back to the track origin. The coordination is due to the BOXES scheme that is established through the evaluation of the outcomes of the control action by one of the fuzzy controllers. It is found that the control scheme is good at selecting proper fuzzy controller so that the pole is balanced fast while the cart moves back to the track origin steadily.

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도로 교차로에서의 흐름 특성에 관한 수치적 연구: 경사진 네 개의 도로가 대칭으로 연결된 교차로의 경우 (A Numerical Study on Characteristics of Flow in a Crossroad: Case of Crossroad Connected Symmetrically with Inclined Four Roads)

  • 정우창;이진우;조용식
    • 한국방재학회 논문집
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    • 제10권6호
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    • pp.99-108
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    • 2010
  • 본 연구에서는 네 개의 도로가 서로 대칭으로 연결된 교차로 근처 및 내에서의 흐름 특성에 대한 수치적 분석을 수행하였으며, 적용된 수치모형은 2차원 well-balanced HLLC 유한체적모형이다. 모의 및 분석결과 본 연구에서 적용된 모형은 유입유량 및 수로경사 조건에 따라 도로 교차로에서 변화되는 복잡한 수면양상을 비교적 잘 모의하는 것으로 나타났다. 또한 도로 교차로 내에서의 시간적 및 공간적 수심변화와 두 개의 하류경계에서의 유출유량에 대한 모의결과는 측정결과와 비교적 잘 일치하였다.

Photonic Generation of Frequency-tripling Vector Signal Based on Balanced Detection without Precoding or Optical Filter

  • Qu, Kun;Zhao, Shanghong;Li, Xuan;Zhu, Zihang;Tan, Qinggui
    • Current Optics and Photonics
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    • 제2권2호
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    • pp.134-139
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    • 2018
  • A novel approach for frequency-tripling vector signal generation via balanced detection without precoding and optical filter is proposed. The scheme is mainly utilizing an integrated dual-polarization quadrature phase shift keying (DPQPSK) modulator. In the DPQPSK modulator, one QPSK modulator is driven by an RF signal to generate high-order optical sidebands, while the other QPSK modulator is modulated by I/Q data streams to produce baseband vector signal as an optical carrier. After that, a frequency-tripling 16-quadrature-amplitude-modulation (16QAM) vector millimeter-wave (mm-wave) signal can be obtained by balanced detection. The proposed scheme can reduce the complexity of transmitter digital signal processing. The results show that, a 4 Gbaud baseband 16QAM vector signal can be generated at 30 GHz by frequency-tripling. After 10 km single-mode fiber (SMF) transmission, the constellation and eye diagrams of the generated vector signal perform well and a bit-error-rate (BER) below than 1e-3 can be achieved.

A HIGH-RESOLUTION VAN LEER-TYPE SCHEME FOR A MODEL OF FLUID FLOWS IN A NOZZLE WITH VARIABLE CROSS-SECTION

  • Cuong, Dao Huy;Thanh, Mai Duc
    • 대한수학회지
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    • 제54권1호
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    • pp.141-175
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    • 2017
  • We present a high-resolution van Leer-type numerical scheme for the isentropic model of fluid flows in a nozzle with variable cross-section. Basically, the scheme is an improvement of the Godunov-type scheme. The scheme is shown to be well-balanced, as it can capture exactly equilibrium states. Numerical tests are conducted which include comparisons between the van Leer-type scheme and the Godunov-type scheme. It is shown that the van Leer-type scheme achieves a very good accuracy for initial data belong to both supersonic and supersonic regions, and the exact solution eventually possesses a resonant phenomenon.

확장된 영향계수법을 이용한 능동자기베어링의 운전상황에서 측정체 진원도 오차 규명 (In-situ Runout Idientification in Active Magnetic Bearing System by Extended Influence Coefficient Method)

  • 김철순;이종원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1995년도 추계학술대회논문집; 한국종합전시장, 24 Nov. 1995
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    • pp.154-159
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    • 1995
  • In this study, an efficient, yet easy to use, in-situ runout identification scheme by using extended influence coefficient method is presented for active magnetic bearing(AMB) systems. It is shown experimentally that the proposed scheme successfully identifies and eliminates the troublesome runout of the well balanced AMB system in the laboratory so that a high precision spindle system can be achieved, while it is in operation.

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