• Title/Summary/Keyword: numerical oscillations

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Development of TVD Numerical Models: I. Linear Advection Equation (TVD 수치모형의 개발: I. 선형 이송방정식)

  • Lee, Jong-Uk;Jo, Yong-Sik;Yun, Gwang-Seok;Yu, Tae-Hun
    • Journal of Korea Water Resources Association
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    • v.34 no.2
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    • pp.177-186
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    • 2001
  • By using he total variation diminishing (TVD) condition, accurate and upwind based schemes are firstly introduced to develop numerical models free from nonphysical oscillations in the vicinity of large gradients. These models are then applied to both abruptly and smoothly varying initial conditions. By comparing computed predictions to analytical solutions, it is clearly shown that the first-order upwind scheme produces the numerical viscosity and the second-order Lax-Wendroff scheme produces the spurious oscillations. However, the TVD scheme gives the most reasonable results.

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Oscillatory Thermocapillary Flow in Cylindrical Columns of High Prand시 Number Fluids

  • Lee, Kyu-Jung;Yasuhiro Kamotani;Simon Ostrach
    • Journal of Mechanical Science and Technology
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    • v.15 no.6
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    • pp.764-775
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    • 2001
  • Oscillartory thermocapillary flow of high Prandtl number fluids in the half-zone configuration is investigated. Based on experimental observations, one oscillation cycle consists of an active period where the surface flow is strong and the hot corner region is extended and a slow period where the opposite occurs. It is found that during oscillations the deformation of free surface plays an important role and a surface deformation parameter S correlates the experimental data well on the onset of oscillations. A scaling analysis is performed to analyze the basic steady flow in the parametric ranges of previous ground-based experiments and shows that the flow is viscous dominant and is mainly driven in the hot corner. The predicted scaling laws agree well with the numerical results. It is postulated that the oscillations are caused by a time lag between the surface and return flows. A deformation parameter S represents the response time of the return flow to the surface flow.

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A comparative study of galloping cable and torsional oscillations in suspension bridge (갤럽핑 케이블과 현수교의 뒤틀린 진동에 관한 비교 연구)

  • Hyeyoung Oh
    • Journal of the Korea Computer Industry Society
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    • v.5 no.3
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    • pp.355-362
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    • 2004
  • This paper presents the common and different results between the galloping cable and torsional oscillations in suspension bridge. Numerical results of the galloping cable and torsional oscillations in suspension bridge are presented by using the second-order Runge Kutta method under the initial conditions. This paper shows that large amplitude solution can coexist with the small amplitude one as the frequency and amplitude of the oscillation change. The differences in symmetry and transient effects are presented.

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UNSTEADY SUPERSONIC INLET DIFFUSER FLOWS WITH SINUSOIDAL PRESSURE OSCILLATIONS

  • Jong Yun Oh
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1996.11a
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    • pp.107-116
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    • 1996
  • Numerical simulations have been conducted to characterize unsteady flow structures in an axisymmetric supersonic inlet diffuser with sinusoidal pressure oscillations at the diffuser exit. The formulation is based on the unsteady Navier-Stokes equations and turbulence closure is achieved using a two-layer model with a too-Reynolds-number scheme for the near-wall treatment. The governing equations are formulated in an integral form, and are discretized by the four-stage Runge-Kutta scheme for temporal terms and the Harten-Yee upwind TVD scheme for convective terms. Results indicated that the inlet shock characteristics are significantly modified by acoustic oscillations originating from the combustor. The characteristics of shock/boundarv-layer interactions (such as the size of separation bubble, terminal shock shape, and vorticity intensity) are also greatly iufluenced by the shock oscillation due to acoustic waves.

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Flamelet Analysis for Transient Response to Pressure Oscillations (압력섭동에 따른 비정상 화염편 응답특성 해석)

  • Bae, Jun-Kyung;Kim, Yong-Mo;Kim, Seong-Ku
    • Journal of the Korean Society of Combustion
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    • v.16 no.1
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    • pp.30-35
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    • 2011
  • This study has been mainly motivated to numerically investigate the transient flame response to pressure oscillations in the gaseous hydrogen - liquid oxygen flames at supercritical pressures. The present analysis is based on the real-fluid transient flamlet model and the flame field is acoustically perturbed only by the sinewave oscillations in the frequency range from 1,000 Hz to 5,000 Hz. Based on numerical results, the detailed discussions are made for the flame response characteristics and the transient flamelet response associated with the high-frequency combustion instability in the liquid propellant rocket engines.

Characteristics of Pressure-Drop Oscillations in a Boiling Channel (비등유로의 압력강하 요동특성)

  • Kim, B.J.;Shin, K.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.7 no.1
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    • pp.132-141
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    • 1995
  • Characteristics of pressure-drop oscillations(PDO) in a boiling channel were studied numerically and compared with experimental data. Effects of initial and boundary conditions on PDO were investigated in terms of oscillation period and amplitude. The period and amplitude of PDO increased with increasing of the compressible volume in the surge tank and the heat input. PDO occurred within the specific range of the fluid temperature, at which oscillation period and amplitude diminished rapidly with the increase of the fluid temperature. The increase of the loss coefficient in fluid supply line resulted in slightly longer oscillation period and larger amplitude. Numerical results showed good agreement with the experimental data.

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EXTENSION OF MULTI-DIMENSIONAL LIMITING PROCESS ONTO THREE-DIMENSIONAL UNSTRUCTURED GRIDS (다차원 공간 제한 기법의 3차원 비정렬 격자계로 확장)

  • Park, J.S.;Kim, C.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.404-411
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    • 2010
  • The present paper deals with the continuous work of extending multi-dimensional limiting process (MLP), which has been quite successfully proposed on two- and three-dimensional structured grids, onto the unstructured grids. The basic idea of the present limiting strategy is to control the distribution of both cell-centered and cell-vertex physical properties to mimic a multi-dimensional nature of flow physics, which can be formulated as so called the MLP condition. The MLP condition can guarantee a high-order spatial accuracy without yielding spurious oscillations. Recently, MLP slope limiter was proposed based on the MUSCL-type reconstruction in two-dimensional case and it can be readily extended to three-dimensional case. Through various numerical analyses and extensive computations, it is observed that the proposed limiters are quite effective in controlling numerical oscillations and very accurate in capturing both discontinuous and continuous multi-dimensional flow features on 3-D tetrahedral grids.

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Numerical Methods for Wave Response in Harbor (항만내의 파도 응답에 관한 수치 계산)

  • D.J.,Kim;K.J.,Bai
    • Bulletin of the Society of Naval Architects of Korea
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    • v.25 no.3
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    • pp.3-12
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    • 1988
  • A natural or an artificial harbor can exhibit frequency(or period) dependent water surface oscillations when excited by incident waves. Such oscillations in harbors can cause significant damage to moored ships and adjacent structures. This can also induce undesirable current in harbors. Many previous investigators have studied various aspects of harbor resonance problem. In the percent paper, both a localizes finite element method(LFEM) which is based on the functional constructed by Chen & Mei(1974) and Bai & Yeung(1974) and an integral equation method which was used by Lee(1969) are applied to harbor resonance problem. The present method(LFEM) shows computationally more efficient than the integral equation method. Our test results shows good agreement compared with other results. This enhanced computational efficiency is due to the fact that the present method gives a banded symmetric coefficients matrix and requires much less computational time in the calculation of the influence coefficients matrix than the integral equation method involved with Green's function. To test the present numerical scheme, two models are treated here. The present method(LFEM) can be extended to a fully three dimensional harbor problem with the similar computational advantage.

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Analytical Solution for Harbour Oscillations (항내응답에 대한 해석해)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.1
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    • pp.72-80
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    • 1996
  • Two analytical solutions for oscillations in a rectangular harbour are presented. In this paper, the correct solution is obtained by use of matched asymptotic expansion method, which was first derived by Mei(1989). The other solution derived from eigenfunction expansion method is also presented, in which more accurate numerical integration is employed. In order to check the solutions, amplification factors inside the harbor are calculated and plotted by both analytical methods and numerical boundary integral equation method.

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A Study on the Reduction of Supersonic Cavity Pressure Oscillations Using a Sub-Cavity System (보조공동을 이용한 초음속 공동내부의 압력진동 저감에 관한 연구)

  • Shin, Choon-Sik;Jeong, June-Chang;Suryan, Abhilash;Kim, Heuy-Dong
    • Journal of the Korean Society of Propulsion Engineers
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    • v.13 no.5
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    • pp.41-47
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    • 2009
  • Numerical computations were carried out to analyze the effect of a sub-cavity at several inlet Mach numbers on the control of cavity-induced pressure oscillations in two-dimensional supersonic flow. The present passive control method, the sub-cavity applied to the front wall of a square cavity, was studied for the inlet Mach numbers of 1.50, 1.83 and 2.50. The results show that the sub-cavity is effective in reducing the oscillations, and a resultant amount of the reduction depended on the inlet Mach number, the length of flat plate, and the depth of sub-cavity used as an oscillation suppressor.