• Title/Summary/Keyword: Two-layer fluids

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Nonlinear Waves of a Two-Layer Compressible Fluid over a Bump

  • Kim H. Y.;Choi J. W.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.113-119
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    • 2000
  • Two-dimensional steady flow of two immiscible, compressible fluids are considered when the temperature of each layer is constant. Both upper and lower fluids are bounded by two horizontal rigid boundaries with symmetric obstruction of compact support at the tourer boundary. By using asymptotic method, we derive the forced K-dV equation governing interfacial wave. Various solutions and numerical results are presented.

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Numerical Analysis of Hydrodynamic Forces on a Floating Body in Two-layer Fluids (밀도가 상이한 두 유체층에서 부유체 동유체력 특성의 수치적 해석)

  • Kim, Mi-Geun;Koo, Weon-Cheol
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.3
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    • pp.369-376
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    • 2010
  • In this study, a radiation and a diffraction problems of a floating body in two-layer fluids were solved by the Numerical Wave Tank(NWT) technique in the frequency domain. In two-layer fluids, two different wave modes exist and the hydrodynamic coefficients can be obtained separately for each mode. The two-domain Boundary Element Method(BEM) in the potential fluid using the whole-domain matrix scheme was used to investigate the characteristics of wave forces, added mass and damping coefficients. The effects of the ratio of density and water depth in the lower domain were also evaluated and compared with given references.

Numerical Analysis of Internal Waves in Two-layer Fluids by a Two-domain Boundary Element Method (Two-domain 경계 요소법을 이용한 해양 내부파의 수치적 재현)

  • Koo, Weon-Cheol;Kim, Mi-Geun
    • Journal of Ocean Engineering and Technology
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    • v.23 no.4
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    • pp.6-11
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    • 2009
  • In this study, the internal waves in two-density layered fluids were analyzed using the Numerical Wave Tank (NWT) technique in the frequency domain. The NWT is based on a two-domain Boundary Element Method with the potential fluids using the whole-domain matrix scheme. From the mathematical solution of the two-domain boundary integral equation, two different wave modes could be classified: a surface wave mode and an internal wave mode, and each mode were shown to have a wave number determined by a respective dispersion relation. The magnitudes of the internal waves against surface waves were investigated for various fluid densities and water depths. The calculated results are compared with available theoretical data.

SYMMERIC CURRENTS OF A TWO-LAYER FLUID WITH FREE SURFACE OVER AN ELLIPTIC OBSTRUCTION

  • Park, J.W.
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.119-133
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    • 1997
  • This paper concerns the symmetric wave solutions between two immiscible, inviscid, and incompressible fluids of different but constant densities in the presence of small elliptic obstruction of compact support at the rigid bottom when the effect of gravity is considered (Fig. 1).

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Free surface flow of a Two-Layer fluid over a bump - Hydraulic Fall (방해물에 기인한 이층유체의 자유 계면에서의 변화 - Hydraulic Fall)

  • Choi J. W.
    • Journal of computational fluids engineering
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    • v.2 no.1
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    • pp.129-137
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    • 1997
  • We consider long nonlinear waves in the two-layer flow of an inviscid and incompressible fluid bounded above by a free surface and below by a rigid boundary. The flow is forced by a bump on the bottom. The derivation of the forced KdV equation fails when the density ratio h and the depth ratio ρ yields a condition 1+hρ=(2-h)((1-h)²+4ρh)/sup 1/2/. To overcome this difficulty we derive a forced modified KdV equation by a refined asymptotic method. Numerical solutions are given and hydraulic fall solution of a two layer fluid is expressed analytically in the case that derivation of the forced KdV(FKdV) equaition fails.

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Numerical Computation of Turbulent Flow over a Backward Facing Step (후방 계단 주위의 난류 유동 수치 해석)

  • Van, Suak-Ho
    • Journal of Ocean Engineering and Technology
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    • v.10 no.3
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    • pp.44-49
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    • 1996
  • 후방계단(backward facting step) 주위의 난류 유동 특성을 수치 해석을 통해 파악하고자 하였다. 지배방정식은 2차 정도의 유한 차분 기법으로 이산화하였으며 비교차격자계를 사용하여 양해법으로 계산하였다. 난류 모형으로는 이층 모형(two-layer)을 사용하였고 압력 Poisson 방정식을 이용하여 압력과 속도를 연성 시켰다. Re=44,000인 경우에 대해 계산 결과로 부터 후방 계단 뒤의 속도 벡터, 유선, 압력 및 속도 분포, 재부착 길이(reattachment length)등의 실험치와 비교하였다. 본 계산에 사용한 수치 해석 기법은 박리등이 포함된 복잡한 난류 유동 현상을 잘 재현할 수 있음을 확인할 수 있었다.

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Numerical Study for Experiment on Wave Pattern of Internal Wave and Surface Wave in Stratified Fluid (성층화된 유체 내에서 내부파와 표면파의 파형 변화 실험을 위한 수치적 연구)

  • Lee, Ju-Han;Kim, Kwan-Woo;Paik, Kwang-Jun;Koo, Won-Cheol;Kim, Yeong-Gyu
    • Journal of Ocean Engineering and Technology
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    • v.33 no.3
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    • pp.236-244
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    • 2019
  • Internal waves occur at the interface between two layers caused by a seawater density difference. The internal waves generated by a body moving in a two-layer fluid are also related to the generation of surface waves because of their interaction. In these complex flow phenomena, the experimental measurements and experimental set-up for the wave patterns of the internal waves and surface waves are very difficult to perform in a laboratory. Therefore, studies have mainly been carried out using numerical analysis. However, model tests are needed to evaluate the accuracy of numerical models. In this study, the various experimental conditions were evaluated using CFD simulations before experiments to measure the wave patterns of the internal waves and surface waves in a stratified two-layer fluid. The numerical simulation conditions included variations in the densities of the fluids, depth of the two-layer fluid, and moving speed of the underwater body.

NUMERICAL ANALYSIS OF FLOW AROUND A SUBMERGED BODY NEAR A PYCNOCLINE USING THE GHOST FLUID METHOD ON UNSTRUCTURED GRIDS (비정렬 격자에서 Ghost Fluid 법을 이용한 밀도약층 주위 수중운동체에 의한 유동 해석)

  • Shin, Sang-Mook
    • Journal of computational fluids engineering
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    • v.10 no.3 s.30
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    • pp.70-76
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    • 2005
  • A two-layer incompressible time-accurate Euler solver is applied to analyze flow fields around a submerged body moving at a critical speed near a pycnocline. Discontinuities in the dependent variables across the material interface are captured without any dissipation or oscillation using the ghost fluid method on an unstructured grid. It is shown that the material interlace has significant effects on forces acting on a submerged body moving near a pycnocline regardless of the small difference in densities of two layers. Contrary to the shallow water waves, a submerged body can reach a critical speed at very low Froude number due to the small difference in the densities of the two layers.

EFFECTS OF TURBULENCE MODEL AND EDDY VISCOSITY IN SHOCK-WAVE / BOUNDARY LAYER INTERACTION (충격파 경계층 상호작용에서 난류모델 및 난류점성의 효과)

  • Jeon, Sang Eon;Park, Soo Hyung;Byun, Yung Hwan
    • Journal of computational fluids engineering
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    • v.18 no.2
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    • pp.56-65
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    • 2013
  • Two compression ramp problems and an impinging shock problem are computed to investigate influence of turbulence models and eddy viscosity on the shock-wave / boundary layer interaction. A Navier-Stokes boundary layer generation code was applied to the generation of inflow boundary conditions. Computational results are validated well with the experimental data and effects of turbulence models are investigated. It is shown that the behavior of turbulence (eddy) viscosity directly affects both the extent of the separation and shock-wave positions over the separation.

Numerical Study on the Suppression of Shock Induced Separation on a Strongly Heated Wall (강하게 가열된 벽면 위에서 충격파에 의한 경계층 박리의 제거에 관한 수치 연구)

  • LEE Doug-Bong;SHIN Joon-Cheol
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.59-72
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    • 1997
  • A numerical model is constructed to simulate the interactions of oblique shock wave / turbulent boundary layer on a strongly heated wall. The heated wall temperature is two times higher than the adiabatic wall temperature and the shock wave is strong enough to induce boundary layer separation. The numerical diffusion in the finite volume method is reduced by the use of a higher order convection scheme(UMIST scheme) which is a TVD version of QUICK scheme. The turbulence model is Chen-Kim two time scale model. The comparison of the wall pressure distribution with the experimental data ensures the validity of this numerical model. The effect of strong wall heating enlarges the separation region upstream and downstream. In order to eliminate the separation, wall suction is applied at the shock foot position. The bleeding slot width is about same as the upstream boundary layer thickness and suction mass flow is 10% of the flow rate in the upstream boundary layer. The final configuration of the shock reflection pattern and the wall pressure distribution approach to the non-viscous value when wall suction is applied.

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