• Title/Summary/Keyword: Stokes problem

검색결과 222건 처리시간 0.021초

격자볼츠만법을 이용한 자유수면 거동 특성 연구 (Study on the Free Surface Behavior Using the Lattice Boltzmann Method)

  • 정노택
    • 한국해양환경ㆍ에너지학회지
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    • 제16권4호
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    • pp.255-262
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    • 2013
  • 본 연구에서는 연속체 이론을 배경으로 하며 일반적으로 많이 사용되는 Navire-Stokes방정식이 아닌 입자의 확률분포를 배경으로 하는 Boltzmann 방정식을 이용하여 자유수면을 포함하는 유동을 해석하는 전산시뮬레이션 코드를 개발하였다. 댐 붕괴시뮬레이션에 적용하여 코드의 검증을 수행하였으며, 기존의 실험 및 계산결과와 비교함과 동시에 격자볼츠만 시뮬레이션의 특성을 분석하였다. 공학적 응용을 위해서 임의 형상의 물체가 존재시에 자유수면 시뮬레이션도 수행하였다.

자유수면의 모의를 위한 레블셑V 기법의 적용 (Application of the Level Set Method for Free Surface Modeling)

  • 이해균
    • 한국콘텐츠학회논문지
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    • 제10권10호
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    • pp.451-455
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    • 2010
  • 수리학에서 다루는 유체 현상은 물과 공기의 경계면인 자유수면을 포함할 때가 많다. 수표면의 곡률이 작은 경우에는 정수압 가정이 적절하지만, 그렇지 않은 경우에는 비정수압 분포를 고려하여야 한다. 이와 같은 문제에서는 수심적분된 천수방정식이 아닌, 네비어-스토크스 방정식(Navier-Stokes equations)에 의존해야 할 때가 많다. 특성이 다른 두 유체, 예를 들면, 물과 공기, 물과 기름과 같이 섞이지 않는 두 유체의 모의를 위하여 본 연구에서는 널리 알려진 레블셑V 기법을, 고전적인 문제인 댐 파괴 문제의 모의에 적용하여 이를 실험결과, 기존 수치모델링 결과와 비교하고 효용성을 확인하였다.

이동경계문제의 전산유체역학을 위한 체적격자변형코드 (A Volume Grid Deformation Code for Computational fluid Dynamics of Moving Boundary Problems)

  • 고진환;김지웅;변도영;박수형
    • 한국항공우주학회지
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    • 제36권11호
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    • pp.1049-1055
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    • 2008
  • 최근 다분야 전산유체 역학에서는 설계 최적화, 공탄성, 강제 경계 운동 등에서 요구되어지는 이동경계문제를 다루게 된다. 이동경계의 변위가 클 경우 강건하고 효율적인 격자 변형 알고리즘의 개발이 필요하다. 본 연구에서는 유한 대형요소와 초월유한보간에 근거한 체적격자 변형 코드를 개발하였고, 정렬격자 다중 블록 Navier-Stokes 코드와 연계하였다. 개발된 코드의 검증을 위해 주기적으로 진동 운동을 하는 에어포일 문제에 대해 계산을 수행 하였고 양력, 항력, 모멘트 계수의 이력 계산 결과가 실험 결과와 잘 일치하였다.

영역분할법과 유한요소해석을 이용한 유동장의 병렬계산 (Parallel Computation of a Flow Field Using FEM and Domain Decomposition Method)

  • 최형권;김범준;강성우;유정열
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.55-58
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    • 2002
  • Parallel finite element code has been recently developed for the analysis of the incompressible Wavier-Stokes equations using domain decomposition method. Metis and MPI libraries are used for the domain partitioning of an unstructured mesh and the data communication between sub-domains, respectively. For unsteady computation of the incompressible Navier-Stokes equations, 4-step splitting method is combined with P1P1 finite element formulation. Smagorinsky and dynamic model are implemented for the simulation of turbulent flows. For the validation performance-estimation of the developed parallel code, three-dimensional Laplace equation has been solved. It has been found that the speed-up of 40 has been obtained from the present parallel code fir the bench mark problem. Lastly, the turbulent flows around the MIRA model and Tiburon model have been solved using 32 processors on IBM SMP cluster and unstructured mesh. The computed drag coefficient agrees better with the existing experiment as the mesh resolution of the region increases, where the variation of pressure is severe.

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송풍기 설계를 위한 수치최적설계기법의 응용 (Application of Numerical Optimization Technique to the Design of Fans)

  • 김광용;최재호;김태진;류호선
    • 설비공학논문집
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    • 제7권4호
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    • pp.566-576
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    • 1995
  • A Computational code has been developed in order to design axial fans by the numerical optimization techniques incorporated with flow analysis code solving three-dimensional Navier-Stokes equation. The steepest descent method and the conjugate gradient method are used to look for the search direction in the design space, and the golden section method is used for one-dimensional search. To solve the constrained optimization problem, sequential unconstrained minimization technique, SUMT, is used with imposed quadratic extended interior penalty functions. In the optimization of two-dimensional cascade design, the ratio of drag coefficient to lift coefficient is minimized by the design variables such as maximum thickness, maximum ordinate of camber and chord wise position of maximum ordinate. In the application of this numerical optimization technique to the design of an axial fan, the efficiency is maximized by the design variables related to the sweep angle distributed by quadratic function along the hub to tip of fan.

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미세채널내 증발을 고려한 두 유체간 열전달현상에 대한 해석적인 연구 (An Analytical Study on a Heat Transfer Mechanism with Boiling Effect between Two Fluids in a Mini-channel)

  • 유영준;최상민
    • 한국추진공학회지
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    • 제17권2호
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    • pp.114-121
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    • 2013
  • 미세채널을 갖는 증발형 열교환기의 효율을 평가하기 위하여, 공기의 온도와 물의 온도와 같은 열교환기의 상태값들을 계산하기위한 관계식들이 문제를 단순화하기 위한 몇 가지 가정을 적용한 Navier-Stokes 방정식으로부터 유도되었다. 미세채널내부는 물의 상태에 따라 3가지 영역으로 나누었다. 이 연구의 결과로써, 미세유로를 갖는 증발형 열교환기의 증발시작시점과 건조완료점을 계산하는 방정식이 제시되었다. 본 연구결과는 증발효과를 이용하는 미세채널형 열교환기의 설계, 성능예측 및 시험결과 분석 등에 효과적으로 활용될 수 있을 것으로 기대된다.

A Fourier sine series solution of static and dynamic response of nano/micro-scaled FG rod under torsional effect

  • Civalek, Omer;Uzun, Busra;Yayli, M. Ozgur
    • Advances in nano research
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    • 제12권5호
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    • pp.467-482
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    • 2022
  • In the current work, static and free torsional vibration of functionally graded (FG) nanorods are investigated using Fourier sine series. The boundary conditions are described by the two elastic torsional springs at the ends. The distribution of functionally graded material is considered using a power-law rule. The systems of equations of the mechanical response of nanorods subjected to deformable boundary conditions are achieved by using the modified couple stress theory (MCST) and taking the effects of torsional springs into account. The idea of the study is to construct an eigen value problem involving the torsional spring parameters with small scale parameter and functionally graded index. This article investigates the size dependent free torsional vibration based on the MCST of functionally graded nano/micro rods with deformable boundary conditions using a Fourier sine series solution for the first time. The eigen value problem is constructed using the Stokes' transform to deformable boundary conditions and also the convergence and accuracy of the present methodology are discussed in various numerical examples. The small size coefficient influence on the free torsional vibration characteristics is studied from the point of different parameters for both deformable and rigid boundary conditions. It shows that the torsional vibrational response of functionally graded nanorods are effected by geometry, small size effects, boundary conditions and material composition. Furthermore, for all deformable boundary conditions in the event of nano-sized FG nanorods, the incrementing of the small size parameters leads to increas the torsional frequencies.

Numerical modelling for evaluating the TMD performance in an industrial chimney

  • Iban, A.L.;Brownjohn, J.M.W.;Belver, A.V.;Lopez-Reyes, P.M.;Koo, K.
    • Wind and Structures
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    • 제17권3호
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    • pp.263-274
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    • 2013
  • A numerical technique for fluid-structure interaction, which is based on the finite element method (FEM) and computational fluid dynamics (CFD), was developed for application to an industrial chimney equipped with a pendulum tuned mass damper (TMD). In order to solve the structural problem, a one-dimensional beam model (Navier-Bernoulli) was considered and, for the dynamical problem, the standard second-order Newmark method was used. Navier-Stokes equations for incompressible flow are solved in several horizontal planes to determine the pressure in the boundary of the corresponding cross-section of the chimney. Forces per unit length were obtained by integrating the pressure and are introduced in the structure using standard FEM interpolation techniques. For the fluid problem, a fractional step scheme based on a second order pressure splitting has been used. In each fluid plane, the displacements have been taken into account considering an Arbitrary Lagrangian Eulerian approach. The stabilization of convection and diffusion terms is achieved by means of quasi-static orthogonal subscales. For each period of time, the fluid problem was solved and the geometry of the mesh of each fluid plane is updated according to the structure displacements. Using this technique, along-wind and across-wind effects have been properly explained. The method was applied to an industrial chimney in three scenarios (with or without TMD and for different damping values) and for two wind speeds, showing different responses.

Redistance 방정식의 경계조건이 슬로싱 문제의 level set 해석에 미치는 영향 (EFFECT OF THE BOUNDARY CONDITION OF REDISTANCE EQUATION ON THE LEVEL SET SOLUTION OF SLOSHING PROBLEM)

  • 최형권
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.165-169
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    • 2009
  • The effect of the Dirichlet boundary condition for the redistance equation of level set method on the solutionof sloshing problem is investigated by adopting four Dirichlet boundary conditions. For the solution of the incompressible Navier-Stokes equations, P1P1 four-step fractional finite element method is employed and a least-square finite element method is used for the solutions of the two hyperbolic type equations of level set method; advection and redistance equation. ALE (Arbitrary Lagrangian Eulerian) method is used to deal with a moving computational domain. It has been shown that the free surface motion in a sloshing tank is strongly dependent on the type of the Dirichlet boundary condition and the results of broken dam and sloshing problems using various Dirichlet boundary conditions are discussed and compared with the existing experimental results.

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점성 유체중에 자유낙하 하는 니들과 스프링의 거동에 관한 연구 (STUDY ON THE BEHAVIOR OF NEEDLES AND SPRINGS FALLING FREELY IN A VISCOUS FLUID)

  • 고담;서용권
    • 한국전산유체공학회지
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    • 제19권2호
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    • pp.30-39
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    • 2014
  • We report in this paper the analysis of the motion of a needle and a spring in a viscous fluid under the influence of gravitational force. Lateral shift as well as vertical motion of a needle falling in a viscous fluid has been observed from a simple experiment. We also observed the combined rotation and translation of a falling spring. The trajectory and velocity of the falling needle and the spring were obtained by using an image processing technique. We also conducted numerical simulation for both problems. For the falling-needle problem, we employed a theory; but it turns out that significant correction is required for the solutions to match the numerical and experimental data. For the falling spring problem various theoretical formula were tested for their justification, but none of the existing theories can successfully predict the numerical and experimental results.