• Title/Summary/Keyword: time marching scheme

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Development of Optimized Compact Finite Difference Schemes (최적화된 집적 유한 차분법을 위한 내재적 시간전진 기법의 개발)

  • Park N. S.;Kim J. W.;Lee D. J.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.7-12
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    • 1998
  • Optimized high-order compact(OHOC) schemes were proposed, which have high spatial order of truncation and resolution to simulate the aeroacoustic problems due to unsteady compressible flows. Generally, numerical schemes are categorized explicit or implicit by time-marching method. In this research, OHOC differences which were developed with explicit time-marching method is used to have implicit formulation and the implicit OHOC differences result in block hepta-diagonal matrix. This paper presents the comparisons between the explicit and implicit OHOC schemes with a second order accuracy of time in the 1-d linear wave convection problem, and between the explicit OHOC scheme of 4th-order accuracy in time and the implicit OHOC scheme of 1st-order accuracy in tine for the 1-d nonlinear wave convection problem. With these comparisons, the characteristics of implicit OHOC scheme are shown in the point of CFL number.

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Numerical analysis of flow field around an automobile with variation of yaw angles (측풍의 편향각 변화에 따른 자동차 주위의 유동해석)

  • Kang D. M.;Jung Y. R.;Park W. G.;Ha S. D.
    • Journal of computational fluids engineering
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    • v.4 no.3
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    • pp.1-11
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    • 1999
  • This paper describes the flow field analysis of an automobile with crosswind effects of 15°, 30° 45° and 60° of yaw angles. The governing equations of the 3-D incompressible Navier-Stokes equations are solved by the iterative time marching scheme. The Chimera grid technique has been applied to efficiently simulate the flow around the side-view mirror. The computated surface pressure coefficients have been compared with experimental results and a good agreement has been achieved. The A- and C-pillar vortex and other flow phenomena around the ground vehicle are evidently shown. The variation of aerodynamic coefficients of drag, lift, side force and moments with respect to yaw angle is systematically studied.

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A Numerical Simulation of Ship Waves by Finite Difference Method (유한차분법에 의한 임의 선체주위의 조파 Simulation)

  • Kyu-Jong Cho;Kang-Hoon Lee;Young-Gill Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.77-94
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    • 1991
  • A finite difference method based on MAC method is used to simulate free-surface waves around a ship. Euler equations and continuity equation are differentiated using the forward time and central space, and solved by time marching scheme. By the employment of variable mesh system in horizontal and vertical direction, the numerical accuracy of wave simulation results is grossly improved. To verify the improvement of numerical accuracy, some numerical simulations are accomplished for Wigley, Series 60($C_{b}$=0.6) and a bulk carrier model. The computational results are compared to the various experimental data and show good agreements.

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Hypersonic Panel Flutter Analysis Using Coupled CFD-CSD Method

  • Tran, Thanh Toan;Kim, Dong-Huyn;Oh, Il-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.10a
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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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Preconditioned Compressible Navier- Stokes Algorithm for Low Mach Number Flows (예조건화 압축성 알고리즘에 의한 저마하수 유동장 해석기법)

  • Ko Hyun;Yoon Woong-Sup
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.35-42
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    • 1998
  • Time marching algorithms applied to compressible Navier-Stokes equation have a convergence problem at low Mach number. It is mainly due to the eigenvalue stiffness and pressure singularity as Mach number approaches to zero. Among the several methods to overcome the shortcomings of time marching scheme, time derivative preconditioning method have been used successfully. In this numerical analysis, we adopted a preconditioner of K.H. Chen and developed a two-dimensional, axisymmetric Navier-Stokes program. The steady state driven cavity flow and backward facing step flow problems were computed to confirm the accuracy and the robustness of preconditioned algorithm for low Mach number flows. And the transonic and supersonic flows insice the JPL axisymmetric nozzle internal flow is exampled to investigate the effects of preconditioning at high Mach number flow regime. Test results showed excellent agreement with the experimental data.

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A Stable MOT Scheme with Combined Field Integral Equation for the Analysis of Transient Scattering from Conducting Structure (도체 구조물의 과도 산란 해석을 위한 결합 적분방정식의 안정된 MOT 기법)

  • Lee, Chang-Hwa;An, Ok-Kyu;Kwon, Woo-Hyen;Jung, Baek-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.4
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    • pp.427-435
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    • 2008
  • In this paper, a stable marching-on in time(MOT) method with a time domain combined field integral equation(CFIE) is presented to obtain the transient scattering response from arbitrarily shaped three-dimensional conducting bodies. This formulation is based on a linear combination of the time domain electric field integral equation(EFIE) with the magnetic field integral equation(MFIE). The time derivatives in the EFIE and MFIE are approximated using a central finite difference scheme and other terms are averaged over time. This time domain CFIE approach produces results that are accurate and stable when solving for transient scattering responses from conducting objects. Numerical results with the proposed MOT scheme are presented and compared with those obtained from the conventional method and the inverse discrete Fourier transform(IDFT) of the frequency domain CFIE solution.

Numerical analysis of Flow Characteristic Around an Automobile with Variation of Slant Angle of Rear End (후미경사각 변화에 따른 자동차주위 유동특성 해석)

  • 정영래;강동민;박원규
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.1
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    • pp.75-83
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    • 2001
  • In this paper, numerical analysis is used to find the effects of inclination of rear end on flow characteristic around an automobile. The reference slant angle of rear end is 28.6$^{\circ}$, the slant angle of rear end is decreased to 24$^{\circ}$, 26.6$^{\circ}$ and also increased to 31.6$^{\circ}$, 36.4$^{\circ}$. The 3-D incompressible Navier-Stockes equations are solved by the iterative time marching scheme. The computed surface pressure coefficients were compared with experimental results and a good agreement has been achieved. The A- and C-pillar vortex and other flow phenomena around the ground vehicle are evidently shown. The variation of aerodynamic coefficients of drag, lift with respect to inclination angle of rear end are systematically studied. The flow characteristic on the automobile surface with respect to change of inclination of rear end have been also studied.

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Analysis of the flow field around an automobile with Chimera grid technique (Chimera 격자기법을 이용한 자동차 주위의 유동장 해석)

  • An, Min-Gi;Park, Won-Gyu
    • Journal of computational fluids engineering
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    • v.3 no.2
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    • pp.39-51
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    • 1998
  • This paper describes the analysis of flow field around an automobile. The governing equations of the 3-D unsteady incompressible Navier-Stokes equations are solved by the iterative time marching scheme. The Chimera grid technique has been applied to efficiently simulate the flow around the side-view mirror. To validate the capability of simulating the flow around a ground vehicle, the flows around the Ahmed body with 12.5$^{\circ}$ and 30$^{\circ}$ of slant angles are simulated and good agreements with experiment and other numerical results are achieved. To validate Chimera grid technique, the flow field around a cylinder was also calculated. The computed results are also well agreed with other numerical results and experiment. After code validations, the flow phenomena around the ground vehicle are evidently shown. The flow around the side-view mirror is also well simulated using the Chimera grid technique.

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Incompressible Viscous Analysis on Unstructured Meshes using Artificial Compressibility Method (가압축성 기법을 이용한 비정렬 격자상에서의 비압축성 점성해석)

  • Moon Young J.
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.113-117
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    • 1995
  • Viscous analysis on incompressible flows is performed using unstructured triangular meshes. A two-dimensional and axisymmetric incompressible Navier-Stokes equations are solved in time-marching form by artificial compressibility method. The governing equations are discretized by a cell-centered based finite-volume method. and a centered scheme is used for inviscid and viscous fluxes with fourth order artificial dissipation. An explicit multi-stage Runge-Kutta method is used for the time integration with local time stepping and implicit residual smoothing. Convergence properties are examined and solution accuracies are also validated with benchmark solution and experiment.

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Design of BIST Circuits for Test Algorithms Using VHDL (VHDL을 이용한 테스트 알고리즘의 BIST 회로 설계)

  • 배성환;신상근;김대익;이창기;전병실
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.1
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    • pp.67-71
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    • 1999
  • In this paper, we design circuits embedded in memory chip which perform memory testing algorithms using BIST scheme to reduce testing time and cost for testing. In order to implement circuits for MSCAN, Marching and checkerboard test algorithms, which have widely used in memory testing, we survey structure of the BIST circuits and describe each block of BIST circuits by using VHDL. Thereafter, We verify behavior of each VHDL coding block and extract BIST circuits for target testing algorithms by CAD tool for simulation and synthesis. Extracted circuits have very low area overhead.

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