• Title/Summary/Keyword: fully implicit method

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Chaotic Stirring of an Alternately-Driven-Cavity Flow (요동운동에 의한 Driven-Cavity 유동의 혼돈적 교반)

  • 서용권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.537-547
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    • 1995
  • Numerical study on the chaotic stirring of viscous flow in an alternately driven cavity has been performed. Even under the Stokes-flow assumption, the inherent singularity at the corners made the problem not so easily accessible. With some special treatments to the region near the corners, the biharmonic equation was solved numerically by using the fully implicit method. The velocity field was then used in obtaining the trajectories of passive particles for studying the stirring effect. The three tools developed in the field of the nonlinear dynamics and chaos, that are the Poincare sections, the unstable manifolds, and the Lyapunov exponents, were used in analysing the stirring effect. It was shown that the unstable manifolds obtained in this study well fit the experimental results given by the previous investigators. It is predicted that the best stirring can be obtained when the aspect ratio a is near 0.8 and the dimensionless period T is in the range 4.3 - 4.7.

Study of the Aerodynamic Characteristics of an Aerofoil in Accelerating Free Streams (가속 유동장에서 발생하는 익형의 공력특성에 관한 연구)

  • Kim, Tae-Ho;Kim, Heuy-Dong;Sohn, Myong-Hwan;Lee, Myeong-Ho
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2115-2120
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    • 2003
  • Many flight bodies are essentially imposed in gradually accelerating and decelerating free streams during taking-off and landing processes. However, the wing aerodynamics occurring in such a stream have not yet been investigated in detail. The objective of the present study is to make clear the aerodynamic characteristics of an aerofoil placed in the accelerating and decelerating free stream conditions. A computational analysis is carried out to solve the unsteady, compressible, Navier-Stokes equations which are discretized using a fully implicit finite volume method. Computational results are employed to reveal the major characteristics of the aerodynamics over the gradually accelerating aerofoil wings.

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Wind Load Induced Vibration Analysis for Tall Structure (고층건물의 풍하중 유발 진동해석)

  • Kim, Dong-Hyun;Kim, Yu-Sung;Kim, Yo-Han;Kim, Dong-Man;Kim, Jong-Wook
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.04a
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    • pp.658-659
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    • 2009
  • In this study, fluid-induced vibration (FIV) analyses have been conducted for tall building structure. In order to investigate the aeroelastic responses of tall building due to wind load, advanced computational analysis system based n computational fluid dynamics(CFD) and computational structural dynamics (CSD) has been developed. Fluid domains are modeled using the computational grid system with local grid deforming technique. A fully implicit time marching scheme based on the Newmark direct integration method is used for computing the coupled aeroelastic governing equations of tall structure for fluid-structure interaction (FSI) problems. Detailed aeroelastic responses and results are presented to show the physical phenomenon of the tall building.

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Study of the Critical Gas Flow through an Orifice (오리피스를 통하는 임계 기체 유동에 관한 연구)

  • Kim, Jae-Hyung;Kim, Heuy-Dong;Park, Kyung-Am
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.532-537
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    • 2003
  • Gas flow through orifice is encountered in many diverse fields of engineering applications. In order to investigate the critical gas flow through an orifice system, a computational analysis is performed using axisymmetric, compressible, Navier-Stokes equations which are numerically solved by a fully implicit finite volume method. In the present study, the discharge coefficients of two different types of orifices which are a straight-bore orifice and a sharp-edged orifice, are predicted to obtain the critical flow conditions. The present CFD data are compared with the previous experimental results. The present computational results show that the critical mass flow rate through orifice is well predicted and it is a strong function of Reynolds number. The discharge coefficient increases with the orifice diameter.

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A Study of Unsteady Aerodynamic Characteristics of an Accelerating Aerofoil (가속익의 비정상 공력특성에 관한 연구)

  • Lee, Young-Ki;Kim, Heuy-Dong;Raghunathan, Srinivasan
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.556-561
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    • 2003
  • Flight bodies are subject to highly unstable and severe flow conditions during taking-off and landing periods. In this situation, the flight bodies essentially experience accelerating or decelerating flows, and the aerodynamic characteristics can be completely different from those of steady flows. In the present study, unsteady aerodynamic characteristics of an aerofoil accelerating at subsonic speeds are investigated using a computational method. Two-dimensional, unsteady, compressible Navier-Stokes simulations are conducted with a one-equation turbulence model, Spalart-Allmaras, and a fully implicit finite volume scheme. An acceleration factor is defined to specify the unsteady aerodynamics of the aerofoil. The results show that the acceleration of the subsonic aerofoil generally leads to a variation in aerodynamic characteristics and it is more significant at angles of attack.

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Performance Prediction a 10MW-Class Wind Turbine Blade Considering Aeroelastic Deformation Effect (공탄성 변형효과를 고려한 10MW급 풍력발전기 블레이드의 성능해석)

  • Kim, Dong-Hyun;Kim, Yo-Han;Ryu, Gyeong-Joong;Kim, Dong-Hwan;Kim, Su-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.04a
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    • pp.657-662
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    • 2011
  • In this study, aeroelastic performance analyses have been conducted for a 10MW class wind turbine blade model Advanced computational analysis system based on computational fluid dynamics (CFD) and computational structural dynamics (CSD) has been developed in order to investigate detailed dynamic responsed of wind turbine blade Reynolds-averaged Navier-Stokes (RANS) equations with k-${\omega}$ SST turbulence model are solved for unsteady flow problems of the rotating turbine blade model. A fully implicit time marching scheme based on the Newmark direct integration method is used for computing the coupled aeroelastic governing equations of the 3D turbine blade for fluid-structure interaction (FSI) problems.

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Response of Spatially Developing Turbulent Boundary Layer to Spanwise Oscillating Electromagnetic Force (횡 방향 진동하는 전자기력에 대한 공간 발달하는 난류 경계층의 반응)

  • Lee, Joung-Ho;Sung, Hyung Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.11 s.242
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    • pp.1189-1198
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    • 2005
  • Direct numerical simulations were performed to investigate the physics of a spatially developing turbulent boundary layer flow subjected to spanwise oscillating electromagnetic forces in the near wall region. A fully implicit fractional step method was employed to simulate the flow. The mean flow properties and the Reynolds stresses were obtained to analyze the near-wall turbulent structure. It is found that skin friction and turbulent kinetic energy can be reduced by the electromagnetic forces. The decrease in production is responsible fur the reduction of turbulent kinetic energy. Instantaneous flow visualization techniques were used to observe the response of streamwise vortices and streak structures to spanwise oscillating forces. The near-wall vortical structures are affected by spanwise oscillating electromagnetic forces. Following the stopping of the electromagnetic force, the flow eventually relaxes back to a two-dimensional equilibrium boundary layer.

Study of the Accelerating and Decelerating Free Streams over an Aerofoil (익형을 지나는 가속/감속 유동에 대한 연구)

  • 김태호;윤복현;김희동
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.05a
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    • pp.5-8
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    • 2003
  • Many flight bodies are essentially imposed in gradually accelerating and decelerating free streams during taking-off and landing processes. However, the wing aerodynamics occurring in such a stream have not yet been investigated in detail. The objective of the present study is to make clear the aerodynamic characteristics of an aerofoil placed in the accelerating and decelerating free stream conditions. A computational analysis is carried out to solve the unsteady, compressible, Navier-Stokes equations which are discretized using a fully implicit finite volume method. Computational results are employed to reveal the major characteristics of the aerodynamics over the gradually accelerating aerofoil wings.

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A Study on Mixed Convection in Parallel Flat Plate with Heated Rectangular Block Arrays (발열체가 있는 평행평판공간내의 대류열전달에 관한 수치해석)

  • Jung, B.Y.;Lee, C.M.;Yim, C.S.
    • Solar Energy
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    • v.6 no.2
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    • pp.62-69
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    • 1986
  • An analysis is made of the fully developed laminar flow and heat transfer in a parallel flat plate with heated rectangular block arrays to investigated the influence of bouyancy force. The shrouds is considered as adiabatic, while the heated block surface transmit a uniform rate of heat flux per unit axial length. The governing equations for velocity and temperature are solved by SIMPLE(Semi-Implicit Method Pressure Linked Equation) algorithm. Detailed velocity and temperature fields and overall heat transfer on wide range of Rayleigh number and various aspect ratios of heated rectangular blocks are computed. The result show that bouyancy leads to a significient enhancement in heat transfer along with a smaller increase in pressure drop, with the great enhancement found when the aspect ratio is 3.0.

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UNCONDITIONALLY STABLE GAUGE-UZAWA FINITE ELEMENT METHODS FOR THE DARCY-BRINKMAN EQUATIONS DRIVEN BY TEMPERATURE AND SALT CONCENTRATION

  • Yangwei Liao;Demin Liu
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.93-115
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    • 2024
  • In this paper, the Gauge-Uzawa methods for the Darcy-Brinkman equations driven by temperature and salt concentration (DBTC) are proposed. The first order backward difference formula is adopted to approximate the time derivative term, and the linear term is treated implicitly, the nonlinear terms are treated semi-implicit. In each time step, the coupling elliptic problems of velocity, temperature and salt concentration are solved, and then the pressure is solved. The unconditional stability and error estimations of the first order semi-discrete scheme are derived, at the same time, the unconditional stability of the first order fully discrete scheme is obtained. Some numerical experiments verify the theoretical prediction and show the effectiveness of the proposed methods.