• 제목/요약/키워드: Implicit integration

검색결과 211건 처리시간 0.024초

폐쇄형 풍동 시험부내의 진동하는 익형 주위 유동에 대한 비정상 벽면효과 연구 (UNSTEADY WALL INTERFERENCE EFFECT ON FLOWS AROUND AN OSCILLATING AIRFOIL IN CLOSED TEST-SECTION WIND TUNNELS)

  • 강승희;권오준;홍승규
    • 한국전산유체공학회지
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    • 제10권2호
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    • pp.60-68
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    • 2005
  • For study on the unsteady wall interference effect, flows around a forced oscillating airfoil in closed test-section wind tunnels have been numerically investigated by solving compressible Navier-Stokes equations. The numerical scheme is based on a node-based finite-volume method with the Roe's flux-difference splitting and an implicit time-integration method coupled with dual time-step sub-iteration. The Spalart-Allmaras one-equation model is employed for the turbulence effect. The computed results of the oscillating airfoil having a thin wake showed that the lift curve slope is increased and the magnitude of hysteresis loop is reduced by the interference effects. Since the vortex around the airfoil is generated and convected downstream faster than the free-air condition, the phase of lift, drag and pitching moment coefficients was shifted. The pressure on the test section wall shows harmonic terms having the oscillating frequency contained in the wail effect.

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

  • 김동현;김요한;류경중;김동환;김수현
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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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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Hypersonic Panel Flutter Analysis Using Coupled CFD-CSD Method

  • ;김동현;오일권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 추계학술대회 논문집
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    • pp.171-177
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    • 2011
  • In this paper, a square simply supported panel flutter have been considered at high supersonic flow by using coupled fluid-structure (FSI) analysis that based on time domain method. The Reynolds-Average Navier Stokes (RANS) equation with Spalart-Allmaras turbulent model were applied for unsteady flow problems of panel flutter. A fully implicit time marching schemed based on the Newmark direct integration method is used for calculating the coupled aeroelastic governing equations of it. In addition, the SOL 145 solver of MSC.NASTRAN was used to investigate flutter velocity based on PK-method of Piston theory. Our numerical results indicated that there is a good agreement result between Piston Theory in MSC.NASTRAN and coupled fluid-structure analysis.

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탄화수소/산소 혼합기체가 채워진 관 내부를 전파하는 데토네이션 파의 해석과 가시화

  • 최정열
    • 한국가시화정보학회:학술대회논문집
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    • 한국가시화정보학회 2004년도 춘계학술대회 논문집
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    • pp.29-36
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    • 2004
  • A numerical study is carried out on the detonation wave propagation through a T-shaped flame tube, which represents a crucial part of the combustion wave ignition (CWI) system aimed for simultaneous ignition of multiple combustion chambers by delivering detonation waves. The formulation includes the Euler equations and an induction-parameter model. The reaction rate is treated based on a chemical kinetics database obtained from a detailed chemistry mechanism. A second-order implicit time integration and a third-order TVD algorithm are Implemented to solve the theoretical model numerically. A total of more than two-million grid points are used to provide direct insight into the dynamics of the detonation wave. Several important phenomena including detonation wave propagation, degeneration, and re-initiation are carefully examined. Information obtained can be effectively used to facilitate the design and optimization of the flame tubes of CWI systems.

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A robust nonlinear mathematical programming model for design of laterally loaded orthotropic steel plates

  • Maaly, H.;Mahmoud, F.F.;Ishac, I.I.
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.223-236
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    • 2002
  • The main objective of the present paper is to address a formal procedure for orthotropic steel plates design. The theme of the proposed approach is to recast the design procedure into a mathematical programming model. The objective function to be optimized is the total weight of the structure. The total weight is function of its layout parameters and structural element design variables. Mean while the proposed approach takes into consideration the strength and rigidity criteria in addition to other dimensional constraints. A nonlinear programming model is developed which consists of a nonlinear objective function and a set of implicit/explicit nonlinear constraints. A transformation method is adopted for minimization strategy, where the primal model constrained problem is transformed into a sequence of unconstrained minimization models. The search strategy is based on the well-known Fletcher/Powell algorithm. The finite element technique is adopted for discretization and analysis strategies. Mindlin theory is selected to simulate the finite element model and a selective reduced integration scheme is exploited to avoid a shear lock problem.

비정렬 삼각격자 유한체적법에 의한 비압축성유동 해석 (Finite volume method for incompressible flows with unstructured triangular grids)

  • 김종태;김용모
    • 대한기계학회논문집
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    • 제19권11호
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    • pp.3031-3040
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    • 1995
  • Two-dimensional incompressible Navier-Stokes equations have been solved by the node-centered finite volume method with the unstructured triangular meshes. The pressure-velocity coupling is handled by the artificial compressibility algorithm due to its computational efficiency associated with the hyperbolic nature of the resulting equations. The convective fluxes are obtained by the Roe's flux difference splitting scheme using edge-based connectivities and higher-order differences are achieved by a reconstruction procedure. The time integration is based on an explicit four-stage Runge-Kutta scheme. Numerical procedures with local time stepping and implicit residual smoothing have been implemented to accelerate the convergence for the steady-state solutions. Comparisons with experimental data and other numerical results have proven accuracy and efficiency of the present unstructured approach.

시간과 격자 크기 변화에 따른 원주후류해석의 경제적 수치기법 (Proper Numerical Scheme to Solve the Flow Past a Circular Cylinder with Time and Grid Size Variations)

  • 맹주성;김용대;최일곤
    • 대한기계학회논문집B
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    • 제24권5호
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    • pp.652-659
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    • 2000
  • The purpose of this study is to present the most effective numerical scheme to calculate the unsteady flows. In order to calculate the flow quantities of flow past a circular cylinder, Three-time level and five convective schemes are applied to unsteady and convective terms, respectively. The values obtained are compared with those from the existing experimental and numerical studies. At Reynolds numbers up to 160, time intervals can be expanded 10 times of Implicit Euler scheme using Three-time level method, and it is found that QUICK and CUI schemes work much stable than others even if less grid density conditions. The combination of Three-time level and QUICK scheme gives high resolutions for laminar unsteady problems with PC level.

Numerical Analysis of Solid Propellant Ignition ~Numerical Formulation Assessment~

  • Shimada, Toru;Novozhilov, Boris V.
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2004년도 제22회 춘계학술대회논문집
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    • pp.528-531
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    • 2004
  • For a simple one-dimensional ignition problem a mathematical model is described to investigate the difficulties in numerical simulations. Some computation results are obtained and comparison is made with analytical solution. Discussions are made on topics such as 1) coordinate transformation, 2) gas-phase and solid-phase analysis; (divergence form of the governing system, a finite-volume discretization, implicit time integration, upwind split flux, spatial accuracy improvement are described. Mass, reagent mass, and energy conservations are solved.), and 3) method to determine quantities on the burning surface (matching). Results obtained for small values of the non-dimensional pressure show a steady-combustion and good agreement with the analytical solution. Numerical instability appeared for larger values of the pressure, discussion on the cause of the problem is made. This effort is a part of a study of flame spread phenomena on solid propellant surface.

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고차경계요소법을 이용한 2차원 비선형 방사문제의 수치해석 (Numerical Analysis of Two-Dimensional Nonlinear Radiation Problem Using Higher-Order Boundary Element Method)

  • 성홍근;최항순
    • 대한조선학회논문집
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    • 제37권1호
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    • pp.67-81
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    • 2000
  • 본 연구에서는 2차원 비선형 방사문제에 대한 정확하고 효과적인 수치기법을 개발하였다. 물체운동에 의해서 생성되는 비선형파계는 이상유체라는 가정에 의하여 기술되고, 라프라스 방정식은 고차경계요소법과 GMRES(Generalized Minimal RESidual) 알고리즘을 이용하여 신속하고 효율적인 풀이가 가능하도록 하였다. 자유표면과 물체면의 교차점에서 발생하는 교차선문제는 불연속 요소를 이용하여 원활하게 해결하였다. 자유표면의 비선형운동을 기술하기 위해서 음해적 사다리꼴 법칙(implicit trapezoidal rule)을 사용하여 시적분하였다. 물체에 의해서 발생한 비선형파가 수직 하류면에서 반사하는 것을 줄이기 위하여 하류면에 수치감쇠항을 도입하였다. 수치계산 결과로부터 본 시적분법 및 수치방사조건이 비선형 방사문제에 매우 적합함을 확인하였다. 시적분 과정에서 자유표면의 격자점들을 재배치함으로써 수치해법의 효율성을 배가하였으며, 교차점근처의 유동 또한 정확하게 기술하였다. 가속도 포텐셜(acceleration potential) 기법을 이용하여 정확하고 안정하게 비선형 방사력을 구하였다. 본 수치계산결과는 다른 수치계산 및 실험결과와 비교하여 볼 때, 좋은 일치를 보인다.

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유한요소법을 이용한 천수방정식의 수치실험 (Numerical Experiments of Shallow Water Eqs. by FEM)

  • 최성욱;이길성
    • 대한토목학회논문집
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    • 제10권4호
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    • pp.141-150
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    • 1990
  • 하구나 연안에서 해수의 순환형상을 모사(模寫)하게 위해 천수방정식(淺水方程式)을 여러 가지 경계조건 하에서 수치해석하였다. 공간영역은 Galerkin방법으로 이산화(離散化)하였으며 시간영역에 대해서는 유한차분법(Crank-Nicolson방법)을 사용하였다. 네 가지 검정실험이 해석적인 해가 있는 일차원 수로에서 행하여졌으며, 해석해를 구할 수 없는 이차원 모형에도 적용되었다. 해석해가 있는 경우 수치모사 결과가 이와 잘 일치하였으며, 이차원 모형에서의 결과도 매우 합당함을 알 수 있었다. 또 일차원 문제에서 4점 bilinear요소와 삼각형 요소를 사용한 결과를 각각 비교하였으며 시간적분도 2단계 Lax-Wendroff방법을 사용하여 결과를 비교하였다. 음해법을 사용할 경우 비교적 정확한 결과를 얻을 수 있으나 요소의 갯수가 많아지면 구성되는 대수방정식(代數方程式)이 커지기 때문에 각 시간마다의 계산량이 엄청나게 늘어나게 되며 양해법을 사용할 때는 원하는 만큼의 정확한 결과를 얻기 위하여 시간간격이나 공간격자 간격을 선정하는데 각별히 유의하여야 할 것이다.

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