• Title/Summary/Keyword: dynamic boundary condition

### A Non-Hydrostatic Pressure Model and its Implementation of the Dynamic Boundary Condition (동수압 모형의 동역학적 경계조건)

• Lee, Jong Wook;Lee, Jin Woo;Cho, Yong-Sik
• KSCE Journal of Civil and Environmental Engineering Research
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• v.28 no.6B
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• pp.691-696
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• 2008
• In this paper, a three-dimensional non-hydrostatic pressure model for free surface flows using a normalized vertical coordinate system is presented. To strongly couple the free surface and non-hydrostatic pressure in the momentum equations, a double predictor-corrector method is employed. This research is especially focused on implementing the dynamic boundary condition (a zero pressure condition) at the free surface. This boundary condition can be specified accurately with a small modification to existing models. Numerical results with and without this modification clearly show that a precise implementation of the dynamic boundary condition is paramountly important.

### COMPUTATION OF FREE-SURFACE FLOWS DUE TO PRESSURE DISTRIBUTION

• Jack Asavanant;Montri Maleewong;Choi, Jeong-Whan
• Communications of the Korean Mathematical Society
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• v.16 no.1
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• pp.137-152
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• 2001
• Steady two-dimensional flows due to an applied pressure distribution in water of finite depth are considered. Gravity is included in the dynamic boundary condition. Gravity is included in the dynamic boundary condition. The problem is solved numerically by using the boundary integral equation technique. It is shown that, for both supercritical and subcritical flows, solutions depend on three parameters: (i) the Froude number, (ii) the magnitude of applied pressure distribution, and (iii) the span length of pressure distribution. For supercritical flows, there exist up to two solutions corresponding to the same value of Froude number for positive pressures and a unique solution for negative pressures. For subcritical flows, there are solutions with waves behind the applied pressure distribution. As the Froude number decreases, these waves when the Froude numbers approach the critical values.

### A Dynamic Method for Boundary Conditions in Lattice Boltzmann method

• Suh, Yong-Kweon;Kang, Jin-Fen;Kang, Sang-Mo
• Proceedings of the KSME Conference
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• 2007.05b
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• pp.2797-2802
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• 2007
• It has been confirmed that implementation of the no-slip boundary conditions for the lattice-Boltzmann method play an important role in the overall accuracy of the numerical solutions as well as the stability of the solution procedure. We in this paper propose a new algorithm, i.e. the method of the dynamic boundary condition for no-slip boundary condition. The distribution functions on the wall along each of the links across the physical boundary are assumed to be composed of equilibrium and nonequilibrium parts which inherit the idea of Guo's extrapolation method. In the proposed algorithm, we apply a dynamic equation to reflect the computational slip velocity error occurred on the actual wall boundary to the correction; the calculated slip velocity error dynamically corrects the fictitious velocity on the wall nodes which are subsequently employed to the computation of equilibrium distribution functions on the wall nodes. Along with the dynamic selfcorrecting process, the calculation efficiently approaches the steady state. Numerical results show that the dynamic boundary method is featured with high accuracy and simplicity.

### Application of a Non-Hydrostatic Pressure Model with Dynamic Boundary Condition to Free Surface Flow (동역학적 경계조건을 갖는 동수압 모형의 자유수면흐름에의 적용)

• Lee, Jin-Woo;Jeong, Woo-Chang;Cho, Yong-Sik
• Journal of the Korean Society of Hazard Mitigation
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• v.10 no.1
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• pp.103-109
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• 2010
• In this study, a three-dimensional non-hydrostatic pressure model based on a normalized vertical coordinate system for free surface flows is presented. To strongly couple the free surface and non-hydrostatic pressure with the momentum equations, a double predictor-corrector method is employed. The study is especially focused on implementing the dynamic boundary condition (a zero pressure condition) at the free surface with ignoring of the atmospheric pressure. It is shown that the boundary condition can be specified easily with a slight modification to existing models.

### Comparison of Potential and Viscous Codes for Water Entry Problem

• Kwon, Sun-Hong;Park, Chang-Woo;Shin, Jae-Young
• International Journal of Ocean System Engineering
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• v.2 no.1
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• pp.32-36
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• 2012
• This paper presents a comparison of potential and viscous computational codes for the water entry problem. A po-tential code was developed which adopted the boundary element method to solve the problem. A nonlinear free surface boundary condition was integrated to find new locations of free surface. The dynamic boundary condition was simplified by taking constant potential values for every time steps. The simplified dynamic boundary condition was applied in the new position of the free surface not at the mean level, which is the usual practice for linearized theory. The commercial code FLUENT was used to solve the water entry problem from the viscosity point of view. The movement of the air-liquid interface is traced by distribution of the volume fraction of water in a computational cell. The pressure coefficients were compared with each other, while experimental results published by other researchers were also examined. The characteristics of each method were discussed to clarify merits and limitations when they were applied to the water entry problems.

### Application of Dynamic Boundary Condition to a Non-hydrostatic Pressure Model with Free Surface Boundary (자유수면 경계조건을 갖는 동수압 모형에서의 동역학적 경계조건의 적용)

• Lee, Jin-Woo;Jeong, Woo-Chang;Cho, Yong-Sik
• 한국방재학회:학술대회논문집
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• 2010.02a
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• pp.52.1-52.1
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• 2010
• 본 연구에서는 자유수면 흐름을 해석할 수 있는 연직방향에 대해 좌표변환된 3차원 동수압 모형을 제시하였다. 제시한 모형은 자유수면파 동수압의 해석을 위하여, 2중 예측-수정(double predictor-corrector)방법을 적용하였다. 본 연구에서는 자유수면과 동수압을 고려하기 위하여 자유수면 보정단계와 동수압 보정단계로 나누어 정확한 동역학적 경계조건을 적용하는 방법을 제시하였고, 제시한 모형을 이용한 수치모의 결과를 검증하기 위하여 타원형 천퇴에 의한 파의 변형에 대한 수치모의를 실시하였다. 전반적으로 수치모의 결과는 실험자료와 일치하였다.

### Analysis of Viscous Free Surface Flow around a Ship by a Level-set Method

• Park, Il-Ryong;Chun, Ho-Hwan
• Journal of Ship and Ocean Technology
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• v.6 no.2
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• pp.37-50
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• 2002
• In the present numerical simulation of viscous free surface flow around a ship, two-fluids in-compressible Reynolds-averaged Navier-Stokes equations with the standard $\textsc{k}-\varepsilon$turbulence model are discretized on a regular grid by using a finite volume method. A local level-set method is introduced for capturing the free surface movement and the influence of the viscous layer and dynamic boundary condition of the free surface are implicitly considered. Partial differential equations in the level-set method are discretized with second order ENO scheme and explicit Euler scheme in the space and time integration, respectively. The computational results for the Series-60 model with $C_B=0.6$ show a good agreement with the experimental data, but more validation studies for commercial complicated hull forms are necessary.

### Theoretical Considerations in the Application of Impact Echo and Impulse Response Techniques to Integrity Tests on Drilled Shafts (II) (현장타설말뚝의 비검측공 건전도시험법에 관한 해석적 고찰 (II))

• 이병식;이원구
• Journal of the Korean Geotechnical Society
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• v.17 no.5
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• pp.107-114
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• 2001
• 비검측공 시험법을 현장타설말뚝의 건전도 평가 목적으로 적용함에 있어서 시험법의 적용성을 향상시키기 위한 연구가 진행되어 오고 있다. 본 논문에서는 같은 맥락에서 수행되어 온 일련의 해석적 연구 결과 중 시험법의 해상도에 관한 문제와 말뚝 주변 및 선단지반의 강성이 비검측공 시험결과에 미치는 영향에 관해 다루었다. 본 논문에서 수행한 연구결과에 의하면 충격응답기법의 해상도를 평가하기 위해서는 말뚝재료에 대한 지반의 강성비($V_{s}$ /$V_{c}$)와 말뚝의 길이에 대한 직경의 비(L/D)에 의존하는 기존 평가기준에 부가하여 말뚝의 상대적인 체적변화가 필히 고려되어야 한다는 결론을 얻었다. 한편, 말뚝이 수평으로 층이 진 주변 지반을 통과하여 말뚝선단부를 지지하는 지반(선단지반)에 근입되거나 지지되는 경우에 말뚝의 자유단 혹은 고정단 경계 조건은 주변 지반과 선단 지반의 강성비와 선단 지반에 대한 말뚝의 근입깊이에 따라 변화한다는 사실을 규명하였다. 말뚝의 건전도 평가 시에 사용하게 되는 말뚝의 공진주파수가 이들 조건에 따라 변화하므로 결과적으로 시험결과분석에 있어서 이들 영향이 필히 고려되어야 한다는 결론을 얻었다.

### Design Optimization on End Coupling as a Power Transmission Component for Aluminum Hot Rolling Process (알루미늄 열간 압연공정의 동력 전달용 커플링에 대한 최적화 설계)

• Lee, Hyun-Seung;Lee, Young-Shin
• Korean Journal of Computational Design and Engineering
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• v.17 no.1
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• pp.1-6
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• 2012
• The End Coupling is main component of the aluminum hot roll process. The End Coupling is used for transmission of rotational power with heavy-duty load. Fracture of the End Coupling cause serious economic losses because an End Coupling is a very expensive component and it takes a long time to repair it. Therefore, preventing the destruction of the End Coupling is essential for ensuring a long mechanical life cycle. In this paper, the parametric study on the End Coupling was performed in order to minimize maximum stress under operation loads. To verify the interference of spindle assembly with modified End Coupling, kinematics simulation was performed by applying the various combination type and dynamic boundary condition of the spindle assembly. The interference of optimized model was not occurred during combination process and driving process. As a result of an optimum design for life extension on End Coupling, the maximum stress of modified End Coupling was lower than that of the initial model by 26%.

### Dynamic Response of a Beam Including the Mass Effect of the Moving Loads (이동 하중의 질량효과를 고려한 보의 동적응답)

• 최교준;김용철
• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.1
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• pp.61-68
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• 1991
• The system such as railway bridge can be modelled as the restrained beam with intermediate supports. This kind of structures are subject to the moving load, which has a great effect on dynamic stresses and can cause sever motions, especially at high velocities. Therefore, to analyze the dynamic characteristics of the system due to the moving load is very important. In this paper, the governing equation of motion of a restrained beam subjected to the moving load is derived by using the Hamilton's principle. The orthogonal polynomial functions, which are trial functions and satisfying the geometric and dynamic boundary conditions, are obtained through simple procedure. The dynamic response of the system subjected to the moving loads is obtained by using the Galerkin's method and the numerical time integration technique. The numerical tests for various constraint, velocity and boundary conditions were preformed. Furthermore, the effects of mass of the moving load are studied in detail.