• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.6 no.7
• /
• pp.1095-1099
• /
• 2002

We experimentally investigate the evolution of nanosecond Stokes pulses in a single-pass Raman laser pumped by a Q-switched Nd:YAG laser at 1064 na As a Raman medium, a GeO2-doped graded-index multimode fiber ot 220 m long Is used. We demonstrate that efficient generation of several Stokes components with 1.5∼2.7 nanosecond pulsewidth is obtained by varying the input pump energy.

• Transactions of the Korean Society of Mechanical Engineers B
• /
• v.27 no.4
• /
• pp.458-465
• /
• 2003

The main objective of the research is to develop a research code solving transient incompressible Navier-Stokes equation. In this research code, Adams-Bashforth method was applied to the convective terms of the navier stokes equation and the splitted equations were discretized spatially by finite element methods to solve the complex geometry problems easily. To reduce the divergence on the boundaries of pressure poisson equation due to the unsuitable pressure boundary conditions, multi step approximation pressure boundary conditions derived from the boundary linear momentum equations were used. Simulations of Lid Driven Flow and Flow over Cylinder were conducted to prove the accuracy by means of the comparison with results of the previous workers.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.19 no.2
• /
• pp.103-121
• /
• 2015

In this paper, we briefly review and describe a projection algorithm for numerically computing the two-dimensional time-dependent incompressible Navier-Stokes equation. The projection method, which was originally introduced by Alexandre Chorin [A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), pp. 745-762], is an effective numerical method for solving time-dependent incompressible fluid flow problems. The key advantage of the projection method is that we do not compute the momentum and the continuity equations at the same time, which is computationally difficult and costly. In the projection method, we compute an intermediate velocity vector field that is then projected onto divergence-free fields to recover the divergence-free velocity. Numerical solutions for flows inside a driven cavity are presented. We also provide the source code for the programs so that interested readers can modify the programs and adapt them for their own purposes.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
• /
• 2002.11a
• /
• pp.529-532
• /
• 2002

We experimentally investigate the evolution of nanosecond Stokes pulses in a single-pass Raman laser pumped by a Q-switched Nd: YAG laser at 1064 nm. As a Raman medium, a GeO$_2$-doped graded-index multimode fiber of 220m long is used. We demonstrate that efficient generation of several Stokes components with 1.5-2.7 nanosecond pulsewidth is obtained by varying the input pump energy.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.23 no.2
• /
• pp.115-138
• /
• 2019

The dual singular function method [DSFM] is a solver for corner sigulaity problem. We already construct DSFM in previous reserch to solve the Stokes equations including one singulairity at each reentrant corner, but we find out a crucial incorrection in the proof of well-posedness and regularity of dual singular function. The goal of this paper is to prove accuracy and well-posdness of DSFM for Stokes equations including two singulairities at each corner. We also introduce new applicable algorithms to slove multi-singulrarity problems in a complicated domain.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2011.05a
• /
• pp.43-43
• /
• 2011

최근 컴퓨터 기술의 발전으로 수심방향으로 완전한 운동방정식인 Navier-Stokes 방정식을 이용하는 3차원 수치모형에 의한 연구가 기초과학 분야인 수학에서부터 공학은 물론 의학 분야까지 광범위하게 진행되고 있다. 3차원 수치모형을 이용한 연구는 이론적으로 매우 우수하긴 하나 정확도 높은 결과를 얻기 위해서는 매우 조밀한 격자를 필요로 하기 때문에 아직까지 막대한 계산시간이 필요하다는 단점이 있으나 근래의 컴퓨터 기술이 엄청난 속도로 발전하고 있는 점을 감안할 때 적용 가능성은 계속 높아지고 있다. 이러한 흐름에 따라 해안공학 분야에서도 3차원 수치모형을 이용한 다양한 연구가 시도되고 있다. 복잡한 해안구조물로 인한 파랑변형 및 구조물의 안전성 등을 검토할 때 기존의 평면 2차원 수치모형이나 연직 2차원 수치모형으로는 재현이 힘들어 상대적으로 수치모형을 활용한 연구의 효용성이 낮았던 것에 비해 3차원 수치모형을 활용할 경우 복잡한 지형 및 구조물의 형상을 재현할 수 있기 때문에 좀 더 유용하게 사용될 수 있다. 한편, 파랑변형을 다루는 수치모형실험을 수행할 때 외부조파를 사용할 경우 구조물이나 지형에 의해 반사되어 나온 파랑이 조파지점에 도달할 때 실험영역으로 재 반사되는 문제가 발생한다. 이를 해결하기 위해 내부조파기법의 개발에 대한 연구가 필수적이었으며, 2차원 수치모형을 중심으로 그 연구가 매우 활발하게 진행되어 왔으나 Navier-Stokes 방정식 모형의 경우 상대적으로 연구가 미흡하였다. 본 연구에서는 3차원 Navier-Stokes 방정식 모형에서 내부조파기법을 도입하여 목표 파랑을 조파하였다. 수치모형은 Navier-Stokes 방정식을 엇갈림 격자체계에서 계산하는 유한차분모형으로 자유수면 추적에는 2차 정확도의 VOF(volume-of-fluid) 기법을 사용한다. 수치모형실험 결과를 일정한 수심을 전파하는 정현파의 해석해와 비교하였으며, 수치모형실험 결과가 비교적 정확하게 목표 파랑을 조파할 수 있음을 검증하였다.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.15 no.4
• /
• pp.661-674
• /
• 2002

The objective of this study is to develop efficient numerical method to enable solution of optimal control problems of Navier-Stokes flows and to apply these technique to the problem of viscous drag minimization on a bluff body by controlling boundary velocities on the surface of the body. In addition to the industrial importance of the drag reduction problem, it serves as a model for other more complex flow optimization settings, and allows us to study, modify, and improve the behavior of the optimal control methods proposed here. The control is affected by the suction or injection of fluid on portions of the boundary, and the objective function represents the rate at which energy is dissipated in the fluid. This study shows how reduced Hessian successive quadratic programming method, which avoid converging the flow equations at each iteration, can be tailored to these problems.

• Journal of computational fluids engineering
• /
• v.21 no.4
• /
• pp.46-53
• /
• 2016

Direct numerical simulation is conducted to observe the behavior of microbubbles in isotropic turbulence. Navier-Stokes equation and the motion of equation for microbubbles are solved with periodic boundary condition in a cube domain. Vorticity contour, enstrophy ratio, relative reduction of bubble rise velocity, and the closest distance of particles are investigated for various Stokes numbers and gravity factors to understand clustering of microbubbles. Also, clustering due to the effect of the lift force is investigated.

• Journal of the Korean Society for Aeronautical & Space Sciences
• /
• v.30 no.6
• /
• pp.21-30
• /
• 2002

A preconditioned Navier-Stokes code was parallelized by the domain decomposition technique, and the accuracy of the parallelized code was verified through a comparison with the result of a sequential code and experimental data. Parallel performance of the code was examined on a Myrinet based PC-cluster and a Fast-Ethernet system. Speed-up ratio was examined as a major performance parameter depending on the number of processor and the network communication topology. In this test, Myrinet system shows a superior parallel performance to the Fast-Ethernet system as was expected. A test for the dependency on problem size also shows that network communication speed in a crucial factor for parallel performance, and the Myrinet based PC-cluster is a plausible candidate for high performance parallel computing system.

• Journal of the Korean Society of Propulsion Engineers
• /
• v.6 no.1
• /
• pp.71-82
• /
• 2002

A time-iterative compressible Navier-Stokes code is developed to analyze the flowfield of a two-dimensional ejector nozzle system. A parametric study has been made for two controlling parameters, duct to nozzle area ratio and nozzle pressure ratio. Results show that there is an optimum area ratio for an efficient pumping of secondary flow. At high area ratios, a freestream flow directly passes through the mixing duct without giving adequate pumping. While at low area ratios, jet boundary is acting as a blockage to incoming flow. The nozzle pressure ratio variation shows that the pumping rate increases as the pressure ratio increases provided there is no interaction between the shroud wall and the shock cell structure.