• Title/Summary/Keyword: OHOC(Optimized High Order Compact ) Scheme

Search Result 9, Processing Time 0.023 seconds

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
    • /
    • 1998.11a
    • /
    • pp.7-12
    • /
    • 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.

  • PDF

Numerical Analysis of the Unsteady Subsonic Flow around a Plunging Airfoil

  • Lee, Kyungwhan;Kim, Jaesoo
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.14 no.3
    • /
    • pp.201-209
    • /
    • 2013
  • Much numerical and experimental research has been done for the flow around an oscillating airfoil. The main research topics are vortex shedding, dynamic stall phenomenon, MAV's lift and thrust generation. Until now, researches mainly have been concentrated on analyzing the wake flow for the variation of frequency and amplitude at a low angle of attack. In this study, wake structures and acoustic wave propagation characteristics were studied for a plunging airfoil at high angle of attack. The governing equations are the Navier-Stokes equation with LES turbulence model. OHOC (Optimized High-Order Compact) scheme and 4th order Runge-Kutta method were used. The Mach number is 0.3, the Reynolds number is, and the angle of attack is from $20^{\circ}$ to $50^{\circ}$. The plunging frequency and the amplitude are from 0.05 to 0.15, and from 0.1 to 0.2, respectively. Due to the high resolution numerical method, wake vortex shedding and pressure wave propagation process, as well as the propagation characteristics of acoustic waves can be simulated. The results of frequency analysis show that the flow has the mixed characteristics of the forced plunging frequency and the vortex shedding frequency at high angle of attack.

Analysis of Unsteady Subsonic Flow Around a High Angle of Attack of the Oscillating Airfoil (진동하는 고 받음각 날개주위의 비정상 아음속 유동해석)

  • Moon, J.S.;Kim, J.S.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2011.05a
    • /
    • pp.434-440
    • /
    • 2011
  • Oscillating airfoil haw been challenged for the dynamic stalls of airfoil am wind turbines at high angle of attach. Especially, the pressure oscillation has a huge effect on noise generation, structure damage, aerodynamic performance am safety, because the flow has strong unsteadiness at high angle of attack. In this paper, the unsteady aerodynamics coefficients were analyzed for the oscillating airfoil at high angle of attack around two dimensional NACA0012 airfoil. The two dimensional unsteady compressible Navier-Stokes equation with a LES turbulent model was calculated by OHOC (Optimized High-Order Compact) scheme. The flow conditions are Mach number of 0.2 and Reynolds number of $1.2{\times}10^4$. The lift, drag, pressure distribution, etc. are analyzed according to the pitching oscillation. Unsteady velocity field, periodic vortex shedding, the unsteady pressure distribution, and the acoustic fields are analyzed. The effects of these unsteady characteristics in the aerodynamic coefficients are analyzed.

  • PDF

Numerical Analysis of Unsteady Flow around a Transversely Oscillating Circular Cylinder

  • Moon, Ji-Soo;Kim, Jae-Soo
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.13 no.1
    • /
    • pp.27-33
    • /
    • 2012
  • The relationship between the excitation frequency and the vortex shedding frequency is analyzed during the oscillation of the circular cylinder. Two-dimension unsteady Navier-Stoke's equation is calculated by using the Optimized High Order Compact (OHOC) scheme. The flow condition is Mach number 0.3 and Reynold's number 1000. From the results acquired by calculation, it can be inferred that, when the excitation frequency is near the vortex shedding frequency at the fixed cylinder wake, the oscillation frequency of lift and drag coefficients appears to lock-on. The lock-on refers to a phenomenon in which the aerodynamic coefficient appears as one primary oscillation frequency through excitation and its amplitude is amplified. In the non-lock-on zone, the excitation frequency is not in the lock-on mode anymore and beat is formed in which two or more primary oscillation frequencies of the aerodynamic coefficient are mixed together.

Unsteady Aerodynamic characteristics at High Angle of Attack around Two Dimensional NACA0012 Airfoil (고 받음각 2차원 NACA0012 에어포일 주위의 비정상 공기역학적 특성)

  • Yoo, Jae-Kyeong;Kim, Jae-Soo
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2011.05a
    • /
    • pp.414-419
    • /
    • 2011
  • Missile am fighter aircraft have been challenged by low restoring nose-down pitching moment at high angle of attach. The consequence of weak nose-down pitching moment can be resulting in a deep stall condition. Especially, the pressure oscillation has a huge effect on noise generation, structure damage, aerodynamic performance and safety, because the flow has strong unsteadiness at high angle of attack. In this paper, the unsteady aerodynamics coefficients were analyzed at high angle of attack up to 60 degrees around two dimensional NACA0012 airfoil. The two dimensional unsteady compressible Navier-Stokes equation with a LES turbulent model was calculated by OHOC (Optimized High-Order Compact) scheme. The flow conditions are Mach number of 0.3 and Reynolds number of $10^5$. The lift, drag, pressure distribution, etc. are analyzed according to the angle of attack. The results at a low angle of attack are compared with other results before a stall condition. From a certain high angle of attack, the strong vortex formed by the leading edge are flowing downstream as like Karman vortex around a circular cylinder. Unsteady velocity field, periodic vortex shedding, the unsteady pressure distribution on the airfoil surface, and the acoustic fields are analyzed. The effects of these unsteady characteristics in the aerodynamic coefficients are analyzed.

  • PDF

THREE DIMENSIONAL CHARACTERISTICS OF WAKES OVER A CIRCULAR CYLINDER IN THE B-MODE USING HIGH ORDER SCHEME (고해상도 수치기법에 의한 B-Mode 영역에서 원형실린더 주위의 3차원 후류 유동특성 연구)

  • Kim, T.S.;Lee, S.S.;Kim, J.S
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03a
    • /
    • pp.50-56
    • /
    • 2008
  • 본 논문에서는 실린더 주위유동의 B-mode에 해당하는 레이놀즈 수 300${\sim}$1000범위에서 고차 고해상도기법(OHOC Scheme)을 이용하여 원형 실린더 주위의 유동장 및 음향장 특성에 대해서 연구하였다. B-mode 레이놀즈 수 범위에서 스팬방향 길이에 따른 3차원 원형실린더의 스트롤 수, 양 항력계수의 상관관계에 대해 수치계산 및 실험 결과와 비교 분석한 결과 매우 잘 일치하는 것을 보였다. 그리고 이 결과를 토대로 하여 B-mode 불안정성 영역에서 보다 정확한 2차 와류 모사를 위한 적절한 스팬방향을 찾고, 3차원 후류유동의 불안정성이 음향장의 변화에 미치는 영향을 정성적으로 고찰하여, 3차원 원형실린더의 공력소음 대한 기초적인 연구를 수행하였다.

  • PDF

THREE DIMENSIONAL CHARACTERISTICS OF WAKES OVER A CIRCULAR CYLINDER IN THE B-MODE USING HIGH ORDER SCHEME (고해상도 수치기법에 의한 B-Mode 영역에서 원형실린더 주위의 3차원 후류 유동특성 연구)

  • Kim, T.S.;Lee, S.S.;Kim, J.S.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.10a
    • /
    • pp.50-56
    • /
    • 2008
  • 본 논문에서는 실린더 주위유동의 B-mode에 해당하는 레이놀즈 수 $300{\sim}1000$범위에서 고차 고해상도 기법(OHOC Scheme)을 이용하여 원형 실린더 주위의 유동장 및 음향장 특성에 대해서 연구하였다. B-mode 레이놀즈 수 범위에서 스팬방향 길이에 따른 3차원 원형실린더의 스트롤 수, 양 항력계수의 상관관계에 대해 수치계산 및 실험 결과와 비교 분석한 결과 매우 잘 일치하는 것을 보였다. 그리고 이 결과를 토대로 하여 B-mode 불안정성 영역에서 보다 정확한 2차 와류 모사를 위한 적절한 스팬방향을 찾고, 3차원 후류유동의 불안정성이 음향장의 변화에 미치는 영향을 정성적으로 고찰하여, 3차원 원형실린더의 공력소음 대한 기초적인 연구를 수행하였다.

  • PDF

ANALYSIS OF UNSTEADY OSCILLATING FLOW AROUND TWO DIMENSIONAL AIRFOIL AT HIGH ANGLE OF ATTACK (고받음각 2차원 에어포일 주위의 비정상 유동의 진동 특성에 관한 연구)

  • Yoo, J.K.;Kim, J.S.
    • Journal of computational fluids engineering
    • /
    • v.18 no.1
    • /
    • pp.1-6
    • /
    • 2013
  • Missile and fighter aircraft have been challenged by low restoring nose-down pitching moment at high angle of attach. The consequence of weak nose-down pitching moment can be resulting in a deep stall condition. Especially, the pressure oscillation has a huge effect on noise generation, structure damage, aerodynamic performance and safety, because the flow has strong unsteadiness at high angle of attack. In this paper, the unsteady aerodynamics coefficients were analyzed at high angle of attack up to 50 degrees around two dimensional NACA0012 airfoil. The two dimensional unsteady compressible Navier-Stokes equation with a LES turbulent model was calculated by OHOC (Optimized High-Order Compact) scheme. The flow conditions are Mach number of 0.3 and Reynolds number of $10^5$. The lift, drag, pressure, entropy distribution, etc. are analyzed according to the angle of attack. The results of average lift coefficients are compared with other results according to the angle of attack. From a certain high angle of attack, the strong vortex formed by the leading edge are flowing downstream as like Karman vortex around a circular cylinder. The primary and secondary oscillating frequencies are analyzed by the effects of these unsteady aerodynamic characteristics.

NUMERICAL ANALYSIS OF THE FLOW AROUND A ROTARY OSCILLATING CIRCULAR CYLINDER USING UNSTEADY TWO DIMENSIONAL NAVIER-STOKES EQUATION (Navier-Stokes 식을 이용한 회전 진동하는 2차원 원형 실린더 주위 유동 해석)

  • Lee, M.K.;Kim, J.S.
    • Journal of computational fluids engineering
    • /
    • v.16 no.3
    • /
    • pp.8-14
    • /
    • 2011
  • Although the geometry of circular cylinder is simple, the flow is complicate because of the flow separation and vortex shedding. In spite of many numerical and experimental researches, the flow around a circular cylinder has not been clarified even now. It has been known that the unsteady vortex shedding from a circular cylinder can vibrate and damage a structure. Lock-on phenomenon is very important in the flow around an oscillating circular cylinder. The lock-on phenomenon is that when the oscillation frequency of the circular cylinder is at or near the frequency of vortex shedding from a stationary cylinder, the vortex shedding synchronizes with the cylinder motion. This phenomenon can be recognized by the spectral analysis of the lift coefficient history. At the lock-on region the vortex is shedding by the modulated frequency to the body frequency. However, the vortex is shedding by the mixed frequencies of natural shedding and forced body frequency in the region of non-lock-on. In this paper, it was analyzed the relation between the frequency of rotary oscillating circular cylinder and the vortex shedding frequency.