• 제목/요약/키워드: second order derivatives

검색결과 101건 처리시간 0.03초

COMPUTATION OF AERODYNAMIC SOUNDS AT LOW MACH NUMBERS USING FINITE DIFFERENCE LATTICE BOLTZMANN METHOD

  • Kang H. K;Tsutahara M;Shikata K;Kim E. R;Kim Y. T;Lee Y. H
    • 한국전산유체공학회지
    • /
    • 제10권1호
    • /
    • pp.8-15
    • /
    • 2005
  • Aerodynamic sounds generated by a uniform flow around a two-dimensional circular cylinder at Re=150 are simulated by applying the finite difference lattice Boltzmann method. Thethird-order-accurate up-wind scheme (UTOPIA) is used for the spatial derivatives, and the second-order-accurate Runge-Kutta scheme is applied for the time marching. We have succeed in capturing very small pressure fluctuations with the same frequency of the Karman vortex street compared with the pressure fluctuation around a circular cylinder. The propagation velocity of the acoustic waves shows that the points of peak pressure are biased upstream due to the Doppler effect in the uniform flow. For the downstream, on the other hand, it is faster. It is also apparent that the amplitude of sound pressure is proportional to r /sup -1/2/,r being the distance from the center of the circular cylinder. To investigate the effect of the lattice dependence, furthermore, 2D computations of the tone noises radiated by a square cylinder and NACA0012 with a blunt trailing edge at high incidence and low Reynolds number are also investigate.

차분래티스 볼츠만 법을 이용한 저Mach수 흐름에서의 유동소음해석 (Numerical Simulation of Aeroacoustic Noise at Low Mach Number Flows by Using the Finite Difference Lattice Boltzmann Method)

  • Eun-Ra Kim;Jeong-Hwan Kim;Ho-Keun Kang
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제28권5호
    • /
    • pp.717-727
    • /
    • 2004
  • In this study, we simulate the aerodynamic sounds generated by a two-dimensional circular cylinder in a uniform flow are simulated by applying the finite difference lattice Boltzmann method (FDLBM). The third-order-accurate up-wind scheme (UTOPIA) is used for the spatial derivatives. and the second-order-accurate Runge-Kutta scheme is applied for the time marching. The results show that we successively capture very small acoustic pressure fluctuations with the same frequency of the Karman vortex street compared with the Pressure fluctuation around a circular cylinder The propagation velocity of the acoustic waves shows that the points of peak pressure are biased upstream due to the Doppler effect in the uniform flow For the downstream. on the other hand. it quickly Propagates. It is also apparent that the amplitude of sound Pressure is Proportional to $r^{-1/2}$, r being the distance from the center of the circular cylinder. To investigate the effect of the lattice dependence furthermore a 2D computation of the tone noise radiated by a NACA0012 with a blunt trailing edge at high incidence and low Reynolds number is also investigated.

저 Mach 수 흐름에서 차분격자볼츠만법에 의한 유동소음의 직접계산 (Direct Simulation of Flow Noise by the Lattice Boltzmann Method Based on Finite Difference for Low Mach Number Flow)

  • 강호근;이영호
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2003년도 추계학술대회
    • /
    • pp.804-809
    • /
    • 2003
  • In this study, 2D computations of the Aeolian tones for some obstacles (circular cylinder, square cylinder and NACA0012 airfoil) are simulated. First of all, we calculate the flow noise generated by a uniform flow around a two-dimensional circular cylinder at Re=150 are simulated by applying the finite difference lattice Boltzmann method (FDLBM). The third-order-accurate up-wind scheme (UTOPIA) is used for the spatial derivatives, and the second-order-accurate Runge-Kutta scheme is applied for the time marching. The results show that we successively capture very small acoustic pressure fluctuation with the same frequency of the Karman vortex street compared with the pressure fluctuation around a circular cylinder. The propagation velocity of the acoustic waves shows that the points of peak pressure are biased upstream due to the Doppler effect in the uniform flow. For the downstream, on the other hand, it is faster. To investigate the effect of the lattice dependence, furthermore, simulations of the Aeolian tones at the low Reynolds number radiated by a square cylinder and a NACA0012 airfoil with a blunt trailing edge at high incidence are also investigated.

  • PDF

2차원 원주로부터 발생하는 Aeolian tone의 수치계산 (Numerical Simulation of the Aeolian Tone Generated from Two-dimensional Circular Cylinder)

  • 강호근;노기덕;손영태
    • 한국해양공학회:학술대회논문집
    • /
    • 한국해양공학회 2002년도 추계학술대회 논문집
    • /
    • pp.234-239
    • /
    • 2002
  • Acoustic sounds generated by a uniform flow around a two-dimensional circular cylinder at Re=200 are simulated using finite difference lattice Boltzmann method. A third-order-accurate up-wind scheme is used for spartial derivatives, and a second-order-accurate Runge-Kutta scheme is used for time marching. The results show that in capturing very small acoustic pressure fluctuation with same frequency of Karman vortex street compared with the pressure fluctuation around a circular cylinder. The propagation velocity of acoustic sound is presented that acoustic which approaches tire upstream due to Doppler effect in the uniform flow slowly propagates, while that for the downstream quickly propagates. It is also apparent that the size of sound pressure is proportional for central distance $r^{-1/2}$ of the cylinder.

  • PDF

멀티그리드 방법을 이용한 프로펠러 주위의 비압축성 층류유동 계산 (Numerical Simulation of Incompressible Laminar Flow around a Propeller Using the Multigrid Technique)

  • 박원규
    • 대한조선학회논문집
    • /
    • 제31권4호
    • /
    • pp.41-50
    • /
    • 1994
  • 프로펠러 주위의 비압축성 점성유동을 해석하기 위해 멀티그리드 방법을 이용한 Iterative time marching 방법이 적용되었다. 이 방법은 3차원 비압축성 Navier-Stokes 방정식을 움직이는 비직교 일반 좌표계상에서 풀고 있으며, 시간에 대해서는 1차의 정확도 그리고 공간에 대해서는 2차 또는 3차의 정확도를 가지고 있으며 반복계산의 수렴속도를 가속시키기 위해서 멀티그리드방법을 사용하였다. 또한 본 방법은 Vector나 Parallel컴퓨터에 적용이 매우 간편하다는 장점을 가지고 있다. 본 연구 결과와 실험치 혹은 다른 연구자의 계산 결과와 일반적으로 잘 일치하고 있으며, 멀티그리드 방법은 수렴에 필요한 CPU시간을 단축시키고 해의 정확도도 개선함을 보여주었다.

  • PDF

분포하중(分布荷重)을 받는 구형판(矩形板)의 탄성해석(彈性解析) (Analysis of Rectangular Plates under Distributed Loads of Various Intensity with Interior Supports at Arbitrary Positions)

  • 장석윤
    • 대한조선학회지
    • /
    • 제13권1호
    • /
    • pp.17-23
    • /
    • 1976
  • Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

  • PDF

IP 기반 무선네트워크에서의 혈관상태 평가를 위한 무구속 헬스케어 시스템 (Non-Intrusive Healthcare System for Estimation of Vascular Condition in IP-Enabled Wireless Network)

  • 정상중;권태하;정완영
    • 센서학회지
    • /
    • 제22권1호
    • /
    • pp.76-83
    • /
    • 2013
  • A real-time wireless monitoring and analysis methods using the wearable PPG sensor to estimate cardiovascular condition is studied for ubiquitous healthcare service. A small size and low-power consuming wearable photoplethysmogram (PPG) sensor is designed as a wrist type device and connected with the IP node assigned its own IPv6 address. The measured PPG waveform in the IP node is collected and transferred to a central server PC through the IP-enabled wireless network for storage and analysis purposes. A monitoring and analysis program is designed to process the accelerated plethysmogram (APG) waveform by applying the second order derivatives to analyze systolic waves as well as heart rate variability analysis from the measured PPG waveform. From our results, the features of cardiovascular condition from individual's PPG waveform and estimation of vascular compliance by the comparison of APG-aging index (AI) and ratio of LF/HF are demonstrated.

진동하는 윗벽면을 가진 정방형 웅덩이 안에서의 흐름 (Analysis of flow in a square cavity with an oscillating top wall)

  • 민병광;장근식
    • 대한기계학회논문집B
    • /
    • 제21권3호
    • /
    • pp.392-404
    • /
    • 1997
  • The flow induced by the oscillatory motion of a solid body is important in a number of practical problems. As the solid boundary oscillates harmonically, there is steady streaming motion invoked by the Reynolds stresses, which could cause extensive migration of the fluid during a period of fluid motion. We here analyzed the flow in a square cavity with an oscillating top wall for the parameters which make the time derivatives and the convective terms equally important in the entire cavity flow. The full Navier-Stokes equations are solved by the second-order time accurate Momentum Coupling Method which is devised by the authors. The particular numerical scheme does not need subiteration at each time step which is usually a required process to calculate the incompressible Navier-Stokes equations. The effect of two parameters, the Reynolds number and the frequency parameter, on the oscillatory flow has been investigated.

스플라인 정칙자를 사용한 투과 단층촬영을 위한 벌점우도 영상재구성 (Penalized-Likelihood Image Reconstruction for Transmission Tomography Using Spline Regularizers)

  • 정지은;이수진
    • 대한의용생체공학회:의공학회지
    • /
    • 제36권5호
    • /
    • pp.211-220
    • /
    • 2015
  • Recently, model-based iterative reconstruction (MBIR) has played an important role in transmission tomography by significantly improving the quality of reconstructed images for low-dose scans. MBIR is based on the penalized-likelihood (PL) approach, where the penalty term (also known as the regularizer) stabilizes the unstable likelihood term, thereby suppressing the noise. In this work we further improve MBIR by using a more expressive regularizer which can restore the underlying image more accurately. Here we used a spline regularizer derived from a linear combination of the two-dimensional splines with first- and second-order spatial derivatives and applied it to a non-quadratic convex penalty function. To derive a PL algorithm with the spline regularizer, we used a separable paraboloidal surrogates algorithm for convex optimization. The experimental results demonstrate that our regularization method improves reconstruction accuracy in terms of both regional percentage error and contrast recovery coefficient by restoring smooth edges as well as sharp edges more accurately.

동익과 정익의 블레이드 개수 비가 익렬의 비정상 공기역학적 특성에 미치는 영향에 대한 수치해석적 연구 (Effects of Rotor-Stator Blade Count Ratio on the Unsteady Aerodynamic Characteristics of a Cascade)

  • 강동진;전현주
    • 한국전산유체공학회지
    • /
    • 제6권3호
    • /
    • pp.41-50
    • /
    • 2001
  • Effects of rotor-stator blade count ratio on the unsteady aerodynamic characteristics of a cascade was studied by using a Navier-Stokes code. Present Navier-Stokes code is a parallel code and works on a multi-cpu machine. It is based on the SIMPLE algorithm and uses QUICK scheme for convection terms and second order back difference for all temporal derivatives. Computations were carried out for two cases : case 1 is for 3 stator cascade passages subjected to two upstream wakes while case 2 is for 2 stator cascade passages subjected to three upstream wakes. Numerical solutions show that rotor-stator blade count ratio plays a significant role in the unsteady aerodynamic characteristics of the stator cascade. Case 2 shows smaller unsteady fluctuation than case 1, even if they show the same time averaged value. The smaller fluctuation of case 2 is believed due to strong interaction between unsteady vortices. The unsteady lift variation of case 2 is shown to have many high frequency fluctuations as more unsteady vortices travel around the cascade. The unsteady turbulent kinetic energy due to the upstream wake is also shown to decay faster through the cascade passage than in the free stream.

  • PDF