• Title/Summary/Keyword: well-balanced scheme

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

  • Jeong, Woo-Chang;Park, Young-Jin
    • Journal of Korea Water Resources Association
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    • v.44 no.3
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    • pp.249-262
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    • 2011
  • In this study, in order to reduce the numerical oscillation due to the unbalance between source and flux terms as the HLLC scheme is applied to the flow analysis on the irregular bed topography, a unstructured finite volume model based on the well-balanced HLLC scheme and the shallow water equations is developed and applied to problems of dam-break waves. The well-balanced HLLC scheme considers directly the gradient of bed topography as the flux terms is calculated. This scheme provides the good numerical balance between the source and flux terms in the case of the application to the steady-state transcritical flow. To verify the numerical model developed in this study, it is applied to three cases of hydraulic model experiments and a field case study of Mapasset dam failure (France). As a result of the verification, the predicted numerical results agree relatively well with available laboratory and field measurements. The model provides slightly more accurate results compared with the existing models.

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

  • Ndengna, Arno Roland Ngatcha;Njifenjou, Abdou
    • Ocean Systems Engineering
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    • v.12 no.3
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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
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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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.

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

  • Jeong, Woo-Chang;Lee, Jin-Woo;Cho, Yong-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.6
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    • pp.89-97
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    • 2009
  • In this study, a two-dimensional unstructured finite volume model based on the shallow-water equations and well-balanced HLLC scheme is developed. The model is verified by applying to various one- and two-dimensional problems related to the analyses of dam-break wave. The predicted numerical results agree very well with available analytical solutions and laboratory measurements. The model provides slightly more accurate results compared with the existing models.

A Fuzzy BOXES Scheme for the Cartpole Control

  • Kwon, Sung-Gyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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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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A Numerical Study on Characteristics of Flow in a Crossroad: Case of Crossroad Connected Symmetrically with Inclined Four Roads (도로 교차로에서의 흐름 특성에 관한 수치적 연구: 경사진 네 개의 도로가 대칭으로 연결된 교차로의 경우)

  • Jeong, Woo-Chang;Lee, Jin-Woo;Cho, Yong-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.6
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    • pp.99-108
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    • 2010
  • In this study, the characteristics of flow within and around a crossroad connected symmetrically with four roads are numerically analyzed by using a two-dimensional well-balanced HLLC finite volume model. As results of simulations and analyses, the numerical model employed in this study describes relatively well the complex water surface in a crossroad according to the conditions of inflow and road slope. Moreover, the predicted temporal and spatial variations of water depths in a crossroad and outflows at two downstream boundaries agree relatively well with laboratory measurements.

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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    • v.2 no.2
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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
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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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.

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

  • 김철순;이종원
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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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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