Journal of the Korean Society for Marine Environment & Energy (한국해양환경ㆍ에너지학회지)

The Korean Society for Marine Environment and Energy (한국해양환경•에너지학회)
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Feasibility Study on the Two-dimensional Free Surface Simulation Using the Lattice-Boltzmann Method

Lattice Boltzmann Method를 이용한 2차원 자유수면 시뮬레이션 기법연구

  • Received : 2012.02.29
  • Accepted : 2012.09.06
  • Published : 2012.11.25
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Abstract

The numerical simulation using the Lattice Boltzmann Method in the field of computational fluid dynamics becomes wider in the engineering applications because of its simplicity of update rules compared to the conventional Navier-Stokes solvers. Here, a two-dimensional D2Q9 LB model is numerically tested with a few new computational treatment on the free surface. The single relaxation time is applied under the gravitational field where applied only in the higher density fluid because of its big density difference. At the free surface, the reconstruction techniques in combination with boundary conditions is adopted in order to get some distribution function coming into the fluid site from the air one, and surface tension, early stable test for the gravitional field is considered in it. With the implementation of the gravitational profile, conserving the overall mass and grid dependency are observed during the calculations and freesurface advance track is well captured with an experiment.

전산유체역학의 격자볼츠만법은 Navier-Stokes방정식의 시뮬레이션 기법 보다 비교적 간략한 이산화 방식으로 인하여 공학적 응용성을 더욱 넓혀 가고 있다. 본 논문에서는 단일 완화계수 및 D2Q9 방식으로 중력장하에서 액체영역에서의 다이나믹스만 계산하는 자유수면 시뮬레이션을 수행하였으며, 그 활용성을 검증하였다. 자유표면의 재구성방법, 분포함수의 조합으로 이루어진 경계조건, 표면장력, 중력장의 안정화, 격자의존성, 자유수면 끝단의 하단 벽면 이동 검증등을 수행하였으며, 그 결과치가 실험치의 데이터와 일치함을 보였다.

Keywords

References

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