• 제목/요약/키워드: wave splitting

검색결과 73건 처리시간 0.021초

NUMERICAL INVESTIGATION OF INTERACTION BEHAVIOR BETWEEN CAVITATION BUBBLE AND SHOCK WAVE

  • Shin, Byeong-Rog;An, Young-Joon
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.215-220
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    • 2008
  • A numerical method for gas-liquid two-phase flow is applied to solve shock-bubble interaction problems. The present method employs a finite-difference Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL-TVD scheme. A homogeneous equilibrium cavitation model is used. By this method, a Riemann problem for shock tube was computed for validation. Then, shock-bubble interaction problems between cylindrical bubbles located in the liquid and incident liquid shock wave are computed.

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On the artificially-upstream flux splitting method

  • Sun M.;Takayama K.
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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    • pp.156-157
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    • 2003
  • A simple method is proposed to split the flux vector of the Euler equations by introducing two artificial wave speeds. The direction of wave propagation can be adjusted by these two wave speeds. This idea greatly simplifies the upwinding, and leads to a new family of upwind schemes. Numerical flux function for multi-dimensional Euler equations is formulated for any grid system, structured or unstructured. A remarkable simplicity of the scheme is that it successfully achieves one-sided approximation for all waves without recourse to any matrix operation. Moreover, its accuracy is comparable with the exact Riemann solver. For 1-D Euler equations, the scheme actually surpasses the exact solver in avoiding expansion shocks without any additional entropy fix. The scheme can exactly resolve stationary contact discontinuities, and it is also freed of the carbuncle problem in multi­dimensional computations.

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Numerical Simulation of Shock Wave Reflecting Patterns for Different Flow Conditions

  • Choi, Sung-Yoon;Oh, Se-Jong
    • International Journal of Aeronautical and Space Sciences
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    • 제3권1호
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    • pp.74-85
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    • 2002
  • The numerical experiment has been conducted to investigate the unsteady shock wave reflecting phenomena. The cell-vertex finite-volume, Roe's upwind flux difference splitting method with unstructured grid is implemented to solve unsteady Euler equations. The $4^{th}$-order Runge-Kutta method is applied for time integration. A linear reconstruction of the flux vector using the least-square method is applied to obtain the $2^{nd}$-order accuracy for the spatial derivatives. For a better resolution of the shock wave and slipline, the dynamic grid adaptation technique is adopted. The new concept of grid adaptation technique, which is much simpler than that of conventional techniques, is introduced for the current study. Three error indicators (divergence and curl of velocity, and gradient of density) are used for the grid adaptation procedure. Considering the quality of the solution and the numerical efficiency, the grid adaptation procedure was updated up to $2^{nd}$ level at every 20 time steps. For the convenience of comparison with other experimental and analytical results, the case of interaction between the straight incoming shock wave and a sharp wedge is simulated for various flow conditions. The numerical results show good agreement with other experimental and analytical results, in the shock wave reflecting structure, slipline, and the trajectory of the triple points. Some critical cases show disagreement with the analytical results, but these cases also have been proven to show hysteresis phenomena.

광각 포물형 완경사 방정식에 관한 연구 (A Study of Wide-Angle Parabolic Mild Slope Equation)

  • 김재중;박정철
    • 한국항만학회지
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    • 제12권2호
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    • pp.281-290
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    • 1998
  • The propagation of water waves over irregular bottom bathymetry and around islands involves many process-shoaling, refraction, energy dissipation and diffraction. Numerical model in this study is developed with the mild slope equation to investigate wave transformation in water of varying depth and combined waves and a current. The method used is splitting method and minimax approximation. The numerical method used in this study is Crank-Nicolson scheme in the FDM. This model is applied to Vincent shoal and compared with laboratory experimental data. The results agreed well with laboratory data. Current effect is considered in this study. This model can be used for the estimation of rip current in the slowly varying topography.

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Design and Analysis of Multi Beam Space Optical Mixer

  • Lian Guan;Zheng Yang
    • Current Optics and Photonics
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    • 제8권1호
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    • pp.56-64
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    • 2024
  • In response to the current situation where general methods cannot effectively compensate for the phase delay of ordinary optical mixers, a multi-layer spatial beam-splitting optical mixer is designed using total reflection triangular prisms and polarization beam splittings. The phase delay is generated by the wave plate, and the mixer can use the existing parallel plates in the structure to individually compensate for the phase of the four output beams. A mixer model is established based on the structure, and the influence of the position and orientation of the optical components on the phase delay is analyzed. The feasibility of the phase compensation method is simulated and analyzed. The results show that the mixer can effectively compensate for the four outputs of the optical mixer over a wide range. The mixer has a compact structure, good performance, and significant advantages in phase error control, production, and tuning, making it suitable for free-space coherent optical communication systems.

캐비티-유도된 원자측정 장치 (A Cavity-Assisted Atom Detector (CAAD))

  • Chough, Young-Tak;Hyuncheol Nha;Kyungwon An
    • 한국광학회:학술대회논문집
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    • 한국광학회 2000년도 제11회 정기총회 및 00년 동계학술발표회 논문집
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    • pp.124-125
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    • 2000
  • We introduce a scheme with a maximized efficiency of detecting atoms passing through an optical standing-wave mode cavity. Consider a standing-wave optical cavity illuminated by a weak probe beam through one of its mirrors where the transmission through the other mirror is monitored by a photodetector. If an atom is put in the cavity, the atom-cavity coupling shifts the resonance frequency of the system via the so-called normal mode splitting, and thereby the transmission power will drop. In fact, this type of atom detection scheme has been used in recent single atom trap experiments In practice, however, the field in a standing-wave mode will have a geometrical structure having nodes and antinodes that when the atom traverses the cavity through one of the nodes, there will be no such effect of atom-field interaction. (omitted)

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FVS를 이용한 터널을 통과하는 초음속 실린더 주위의 충격파 거동 해석 (The Behavior of Shock Wave through a Circular Tunnel around Supersonic Cylinder using FVS Upwind Scheme)

  • 고민호;신창훈;박원규
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 추계 학술대회논문집
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    • pp.29-35
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    • 1999
  • A two-dimensional Euler code based on flux vector splitting scheme has been developed to simulate the behavior of supersonic shock wave over the cylinder. AF+ADI scheme was used for time integration. The sliding multiblock technique was implemented to handle the relative motion of the moving cylinder and the stationary tunnel. The code is validated with a problem of subsonic flow around a Naca-0012 airfoil. The Computation results show complex phenomena of the propagation of shock waves and the reflection as expansion wave at tunnel exit.

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비정질 $Fe_{83}B_9Nb_7Cu_1$의 M$\ (Distributions of Hyperfine Parameters in Amorphous $Fe_{83}B_9Nb_7Cu_1$ Alloys)

  • 윤성현;김성백;김철성
    • 한국자기학회지
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    • 제9권6호
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    • pp.271-277
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    • 1999
  • M ssbauer 분광법을 이용하여 비정질합금 Fe83B9Nb7Cu1의 자기적 성질을 연구하였다. 개선된 Vincze의 방법을 적용하여 각 온도에서 초미세자기장, 이성질체 이동치, 그리고 quadrupole line broadening의 분포함수들을 얻었고 큐리온도는 393K, Hhf(0)는 231kOe로 산출되었다. 환산된 평균 초미세 자기장(reduced average hyperfine field)의 온도 변화는 S=1 자기화 곡선에 비해 급히 감소하는 양상을 보였고 이를 설명하기 위해 Handrich의 분자장 이론에서 교환 상호 작용의 척도인 에 =0.75-0.64(T/Tc)+0.47(T/Tc)2의 온도 의존성을 도입하였다. 평균 초미세 자기장(Hhf(T))은 저온에서 스핀파 여기에 의한 공식 Hhf(T)=Hhf(0)[1-0.44(T/Tc)3/2-0.28(T/Tc)5/2- ]으로 분석하였고, 큐리온도 부근에서는 1.00[1-T/Tc]0.39의 관계를 갖는 것으로 나타났다. 초미세 자기장 분포곡선의 선폭은 13K에서 102kOe (3.29 mm/s)였으며, 오도가 증가함에 따라 감소했다. 큐리온도 이상에서 평균 quadrupole splitting값은 0.43 mm/s였으며 quadrupole 이동치 분포에 의한 선폭 증가는 13K에서 0.1 mm/s, 320K에서는 0.072 mm/s 정도로 초미세 자기장 분포나 quadrupole line broadening에 의한 선폭 증가보다 작았다. 이성질체 이동치의 온도 변화에 Debye 모형을 적용하여 Debye 온도를 D=424K로 산출하였다.

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FDS-HCIB법을 이용한 고립파에 의한 물체 운동 모사 (Simulation of Body Motion Caused by a Solitary Wave using the FDS-HCIB Method)

  • 신상묵;김인철;김용직
    • 대한조선학회논문집
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    • 제51권4호
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    • pp.265-273
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    • 2014
  • Wave-body interaction is simulated using a developed code based on the flux-difference splitting scheme for immiscible and incompressible fluids and the hybrid Cartesian/immersed boundary method. A free surface is captured as a moving contact discontinuity within a fluid domain and an approximated Riemann solver is used to estimate the inviscid flux across the discontinuity. Immersed boundary nodes are identified inside an instantaneous fluid domain near a moving body, then dependent variables are reconstructed at those immersed boundary nodes based on interpolation along local normal lines to the boundary. Free surface flows around an oscillating cylinder are simulated and the computed wave elevations are compared with other reported results. The generation of a solitary wave by a moving wave-maker is simulated and the time histories of wave elevations at two different points are compared with other results. The developed code is applied to simulate body motion of an elastically mounted circular cylinder as a solitary wave passes the body. The force acting on an elastically mounted cylinder is compared with the force acting on a fixed cylinder. Grid independency of the computed body motion is established based on a comparison of results using three different-size grids.