• 제목/요약/키워드: near-incompressible

검색결과 74건 처리시간 0.02초

A zonal hybrid approach coupling FNPT with OpenFOAM for modelling wave-structure interactions with action of current

  • Li, Qian;Wang, Jinghua;Yan, Shiqiang;Gong, Jiaye;Ma, Qingwei
    • Ocean Systems Engineering
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    • 제8권4호
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    • pp.381-407
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    • 2018
  • This paper presents a hybrid numerical approach, which combines a two-phase Navier-Stokes model (NS) and the fully nonlinear potential theory (FNPT), for modelling wave-structure interaction. The former governs the computational domain near the structure, where the viscous and turbulent effects are significant, and is solved by OpenFOAM/InterDyMFoam which utilising the finite volume method (FVM) with a Volume of Fluid (VOF) for the phase identification. The latter covers the rest of the domain, where the fluid may be considered as incompressible, inviscid and irrotational, and solved by using the Quasi Arbitrary Lagrangian-Eulerian finite element method (QALE-FEM). These two models are weakly coupled using a zonal (spatially hierarchical) approach. Considering the inconsistence of the solutions at the boundaries between two different sub-domains governed by two fundamentally different models, a relaxation (transitional) zone is introduced, where the velocity, pressure and surface elevations are taken as the weighted summation of the solutions by two models. In order to tackle the challenges associated and maximise the computational efficiency, further developments of the QALE-FEM have been made. These include the derivation of an arbitrary Lagrangian-Eulerian FNPT and application of a robust gradient calculation scheme for estimating the velocity. The present hybrid model is applied to the numerical simulation of a fixed horizontal cylinder subjected to a unidirectional wave with or without following current. The convergence property, the optimisation of the relaxation zone, the accuracy and the computational efficiency are discussed. Although the idea of the weakly coupling using the zonal approach is not new, the present hybrid model is the first one to couple the QALE-FEM with OpenFOAM solver and/or to be applied to numerical simulate the wave-structure interaction with presence of current.

Robust Design for Showerhead Thermal Deformation

  • 공대위;김호준;이승무;원제형
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2014년도 제46회 동계 정기학술대회 초록집
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    • pp.150.1-150.1
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    • 2014
  • Showerhead is used as a main part in the semiconductor equipment. The face plate flatness should remain constant and the cleaning performance must be gained to keep the uniformity level of etching or deposition in chemical vapor deposition process. High operating temperature or long period of thermal loading could lead the showerhead to be deformed thermally. In some case, the thermal deformation appears very sensitive to showerhead performance. This paper describes the methods for robust design using computational fluid dynamics. To reveal the influence of the post distribution on flow pattern in the showerhead cavity, numerical simulation was performed for several post distributions. The flow structure appears similar to an impinging flow near a centered baffle in showerhead cavity. We took the structure as an index to estimate diffusion path. A robust design to reduce the thermal deformation of showerhead can be achieved using post number increase without ill effect on flow. To prevent the showerhead deformation by heat loading, its face plate thickness was determined additionally using numerical simulation. The face plate has thousands of impinging holes. The design key is to keep pressure drop distribution on the showerhead face plate with the holes. This study reads the methodology to apply to a showerhead hole design. A Hagen-Poiseuille equation gives the pressure drop in a fluid flowing through such hole. The assumptions of the equation are the fluid is viscous-incompressible and the flow is laminar fully developed in a through hole. An equation can be expressed with radius R and length L related to the volume flow rate Q from the Hagen-Poiseuille equation, $Q={\pi}R4{\Delta}p/8{\mu}L$, where ${\mu}$ is the viscosity and ${\Delta}p$ is the pressure drop. In present case, each hole has steps at both the inlet and the outlet, and the fluid appears compressible. So we simplify the equation as $Q=C(R,L){\Delta}p$. A series of performance curves for a through hole with geometric parameters were obtained using two-dimensional numerical simulation. We obtained a relation between the hole diameter and hole length from the test cases to determine hole diameter at fixed hole length. A numerical simulation has been performed as a tool for enhancing showerhead robust design from flow structure. Geometric parameters for the design were post distribution and face plate thickness. The reinforced showerhead has been installed and its effective deposition profile is being shown in factory.

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강체-유체 충격문제에 대한 Lagrangian 유한요소 해석 (Lagrangian Finite Element Analysis of Water Impact Problem)

  • 윤범상
    • 대한조선학회논문집
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    • 제28권1호
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    • pp.60-68
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    • 1991
  • 비압축성 유체유동에 대한 Navier-Stokes 방정식과 충돌 접촉면 조건으로 특징지어지는 강체-유체 충돌문제를 Lagrangian 유한요소법에 의해 해석하였으며, 계산의 편의상, 속도장을 점성및 중력항과 압력항으로 나누어 수행하는 소위 fractional step method를 도입하였다. 유체영역은 4절점의 4각형 요소로 분할하였으며, 충분히 작은 시간간격의 도입을 전제로 하여 explicit time marching법으로 수치해석하였다. 매 시간 step의 초기에 우선 운동량-충격량 법칙으로 강체의 수면충돌후 속도를 구했으며, 그 속도로 표현되는 충돌 접촉면의 경계조건과 완전한 형태의 자유표면조건 그리고 운동방정식 및 연속 방정식을 모두 만족하는 속도장을 구하였다. 본 논문에서 제시하는 수치해석법에 의하면, 유체충격문제에 있어 매우 중요하다고 알려져 있는 tip splash를 포함하는 자유표면의 형상을 쉽게 추적해 갈 수 있다. Lagrangian 유한요소법의 적용의 타당성을 확인하기 위하여 대칭형 2차원 쐐기 모양의 강체가 수면충돌하는 경우를 예로하여 시간의 경과에 따른 충격수압의 분포 및 충격외력 등을 추정한 결과, 본 방법의 적용의 유효성과 아울러 몇가지 유용한 결론을 유도할 수 있었다.

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잠수함 형상의 유동소음 해석기법 연구 (Flow-Induced Noise Prediction for Submarines)

  • 여상재;홍석윤;송지훈;권현웅;설한신
    • 해양환경안전학회지
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    • 제24권7호
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    • pp.930-938
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    • 2018
  • 잠수함에서 발생하는 수중방사소음은 적함의 소나에 의해 피탐될 확률과 직결되며, 잠수함 저소음화 방안은 생존성 향상을 위해 필수적이다. 최신 잠수함의 경우 기계류 소음저감 및 고속/대형화가 진행됨에 따라 선체 주위에 발생하는 유동소음에 대한 관심이 높아지고 있다. 본 연구에서는 자유수면의 효과를 고려하여 잠수함 형상 주위에 발생하는 유동소음 수준을 예측할 수 있는 소음해석기법을 개발하였다. 잠수함이 자유수면 근처 운항시에 잠수함 주위 유동장의 교란에 의해 발생하는 난류유동소음과 쇄파버블에 의한 소음이 발생한다. 먼저 잠수함 주위 유동장 해석을 위해, VOF법 기반의 비압축성 이상유동(two-phase flow)해석을 수행하여 잠수함 주위 자유수면 형상과 유동장 정보를 도출하였다. 이후 난류유동소음해석을 위해 음향상사기법인 Permeable FW-H를 적용하였고, 쇄파버블 소음해석을 위해 유동해석에서 도출된 난류운동에너지 분포결과를 기반으로 쇄파버블 소음모델을 적용하였다. 최종적으로 개발된 유동소음 해석기법은 선박해양플랜트연구소(KRISO)의 대형캐비테이션터널(LCT)에서 수행된 잠수함 모형 유동소음계측 실험결과와 비교를 통해 검증을 수행하였다.