• Title/Summary/Keyword: TVD Method

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Numerical analysis of a flow field in gas atomization process using a TVD scheme (TVD기법을 이용한 가스 분무 공정의 유동장 해석)

  • Shim Eun Bo
    • 한국전산유체공학회:학술대회논문집
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    • 1996.05a
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    • pp.131-136
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    • 1996
  • The numerical method for the flow field of a gas atomization process is presented. For the analysis of the compressible supersonic jet flow of a gas. an axisymmetric Navier-Stokes equations are solved using a LU-factored upwind method. The MUSCL type TVD scheme is used for the discretization of inviscid flux, whereas Steger-Warming splitting and LU factorization is applied to the implicit operator. For the validation of the present method, we computed the flow field around the simple gas atomizer proposed by Issac. The numerical results has shown excellent agreement with the experimental data.

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DEPENDENCE OF WEIGHTING PARAMETER IN PRECONDITIONING METHOD FOR SOLVING LOW MACH NUMBER FLOW (낮은 Mach수유동 해석을 위한 Preconditioning 가중계수의 의존성)

  • An, Y.J.;Shin, B.R.
    • Journal of computational fluids engineering
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    • v.15 no.2
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    • pp.55-61
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    • 2010
  • A dependence of weighting parameter in preconditioning method for solving low Mach number flow with incompressible flow nature is investigated. The present preconditioning method employs a finite-difference method applied Roe‘s flux difference splitting approximation with the MUSCL-TVD scheme and 4th-order Runge-Kutta method in curvilinear coordinates. From the computational results of benchmark flows through a 2-D backward-facing step duct it is confirmed that there exists a suitable value of the weighting parameter for accurate and stable computation. A useful method to determine the weighting parameter is introduced. With this method, high accuracy and stable computational results were obtained for the flow with low Mach number in the range of Mach number less than 0.3.

A Numerical Analysis of a Discontinuous Flow with TVD Scheme (TVD기법을 이용한 불연속 흐름의 수치해석)

  • Jeon, Jeong-Sook;Lee, Bong-Hee;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.36 no.4
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    • pp.597-608
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    • 2003
  • A transcritical flow occurs when the width and slope of a channel are varying abruptly. In this study, the transcritical flow in a two-dimensional open channel is analyzed by using the shallow-water equations. A weighted average flux scheme that has flux limiter with a total variation diminishing condition is introduced for a second-order accuracy in time and space, and non- spurious oscillations at discontinuous points. A HLLC method with three wane speeds is employed to calculate the Riemann problem. To overcome difficulties resulting from variation of channel sections in a two-dimensional analysis of transcritical flow, the numerical model is developed based on a generalized grid system.

Comparative study between TVD and MOC methods for the analysis of Unsteady compressible flow in pipe network (배관망의 비정상상태 압축성 유동해석을 위한 TVD 와 MOC 방법의 비교 연구)

  • Shin Young-Seob;Sah Jong-Youb
    • 한국전산유체공학회:학술대회논문집
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    • 2000.10a
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    • pp.101-108
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    • 2000
  • Pipe network analysis is analyze all of it about pressure and volume flow rate through that are pipeline, junction, regulator and valve etc. In this study is compare TVD with MOC method for analysis of unsteady compressible flow in pipelines. Then, we calculated unsteady compressible flow for pipe network that periodic volume flow rate conditions.

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Evaluation on the Usefulness of Ultrasound Image Speckle Reduction Using Total Variation Denoising (TVD) Method in Laplacian Pyramid (라플라시안 피라미드 기반 총변동 잡음제거 기법을 이용한 초음파 영상 스펙클 제거 유용성 평가)

  • Moon, J.H.;Choi, D.H.;Lee, S.Y.;Tae, Ki-Sik
    • Journal of Biomedical Engineering Research
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    • v.37 no.4
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    • pp.140-146
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    • 2016
  • The ultrasound imaging in medical diagnosis has become a popular modality because of its safe, noninvasive, portable, relatively inexpensive, and provides a real-time image formation. However, usefulness of ultrasound imaging is at times limited due to the presence of signal-dependent noise like as speckle. Therefore, noise reduction is very important, as various types of noise generated limits the effectiveness of medical image diagnosis. This paper introduces a speckle noise reduce algorithm using total variation denoising (TVD) in Laplacian pyramid. With this method, speckle is removed by TVD of bandpass ultrasound images in Laplacian pyramid domain. For TVD in each pyramid layer, a ${\lambda}$ is selected by trial-and-error method. The visual comparison of despeckled 'in vivo' ultrasound images from pancreas shows that the proposed method could effectively preserve edges and detailed structures while thoroughly suppressing speckle. For a Simulated B-mode image, contrast-to-noise-ratio (CNR) and signal-to-noise-ratio (SNR) were obtained like 4.65 dB and 14.11 dB, respectively. The results show that the proposed method can conduct better than some of the existing methods in terms of the CNR and the SNR.

Weighted Averaged Flux Method for Computation of Shallow Water Equations (WAF 기법을 이용한 천수방정식 해석)

  • Kim, Woo-Gu;Jung, Kwan-Sue;Kim, Jae-Han
    • Journal of Korea Water Resources Association
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    • v.36 no.5
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    • pp.777-785
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    • 2003
  • A numerical model for the solution of two-dimensional free surface flow is developed on unstructured grid. By using fractional step method, the two-dimensional shallow water equations (SWE) are treated as two one-dimensional problems. Thus, it is possible to simulate computational hydraulic problems with higher computational efficiency. The one-dimensional problems are solved using upwind TVD version of second-order Weighted Averaged Flux (WAF) scheme with HLLC approximate Riemann solver. The numerical oscillations which are common with second-order numerical scheme are controlled by exploiting WAF flux limiter, Some idealized test problems are solved using this model and very accurate and stable solutions are obtained. It can be concluded as an efficient implement for the computation of SWE including dam break problems that concerning discontinuities, subcritical and supercritical flows and complex domain.

Numerical Study on the Shock Wave Focusing of Elliptic Reflectors (타원형 반사면에 의한 충격파 초점 변화에 관한 수치적 연구)

  • Ko C. C.;Shim E. B.;Sah J. Y.
    • Journal of computational fluids engineering
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    • v.4 no.3
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    • pp.35-43
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    • 1999
  • In this study, the shock wave focusing of an elliptic reflector is numerically simulated by solving the Euler equations. The numerical method is the second order upwind TVD scheme with a finite volume discretization. For the verification of the present method, we simulate the moving shock wave passing through a two-dimensional corner. The computed isopycnics are compared with the earlier experiment. Numerical results of the elliptic reflectors show that the density and pressure at the focusing point increase linearly as the aspect ratio of the reflector becomes deep. On the other hand, the gas dynamic focal length decreased with the increase of the reflector aspect ratio.

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GAS-LIQUID TWO-PHASE HOMOGENEOUS MODEL FOR CAVITATING FLOW (캐비테이션 유동해석을 위한 기-액 2상 국소균질 모델)

  • Shin, Byeong-Rog
    • Journal of computational fluids engineering
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    • v.12 no.2
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    • pp.53-62
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    • 2007
  • A high resolution numerical method aimed at solving cavitating flow is proposed and applied to gas-liquid two-phase shock tube problem. The present method employs a finite-difference 4th-order Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL TVD scheme. By applying the homogeneous equilibrium cavitation model, the present density-based numerical method permits simple treatment of the whole gas-liquid two-phase flow field, including wave propagation and large density changes. The speed of sound for gas-liquid two-phase media is derived on the basis of thermodynamic relations and compared with that by eigenvalues. By this method, a Riemann problem for Euler equations of one dimensional shock tube was computed. Numerical results such as detailed observations of shock and expansion wave propagations through the gas-liquid two-phase media at isothermal condition and some data related to computational efficiency are made. Comparisons of predicted results and exact solutions are provided and discussed.

Numerical Analysis of Dam-Break Flow in an Experimental Channel using Cut-Cell Method (분할격자기법을 이용한 실험수조 댐붕괴파의 수치모의)

  • Kim, Hyung-Jun;Kim, Jung-Min;Cho, Yong-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.2B
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    • pp.121-129
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    • 2009
  • In this study, dam-break flows are simulated numerically by using an efficient and accurate Cartesian cut-cell mesh system. In the system, most of the computational domain is discretized by the Cartesian mesh, while peculiar grids are done by a cutcell mesh system. The governing equations are then solved by the finite volume method. An HLLC approximate Riemann solver and TVD-WAF method are employed to calculation of advection flux of the shallow-water equations. To validate the numerical model, the model is applied to some problems such as a steady flow convergence on an ideal bed, a steady flow over an irregular bathymetry, and a rectangular tank problem. The present model is finally applied to a simulation of dam-break flow on an experimental channel. The predicted water surface elevations are compared with available laboratory measurements. A very reasonable agreement is observed.

HIGH-SPEED FLOW PHENOMENA IN COMPRESSIBLE GAS-LIQUID TWO-PHASE MEDIA (압축성 기-액 이상매체중의 고속 유동현상)

  • Shin, Byeong-Rog
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.249-257
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    • 2007
  • A high resolution numerical method aimed at solving gas-liquid two-phase flow is proposed and applied to gas-liquid two-phase shock tube problem. The present method employs a finite-difference 4th-order Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL TVD scheme. By applying the homogeneous equilibrium cavitation model, the present density-based numerical method permits simple treatment of the whole gas-liquid two-phase flow field, including wave propagation and large density changes. The speed of sound for gas-liquid two-phase media is derived on the basis of thermodynamic relations and compared with that by eigenvalues. By this method, a Riemann problem for Euler equations of one dimensional shock tube was computed. Numerical results such as detailed observations of shock and expansion wave propagations through the gas-liquid two-phase media and some data related to computational efficiency are made. Comparisons of predicted results and exact solutions are provided and discussed.

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