• Title/Summary/Keyword: TVD

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Study of the Weak Shock Wave Propagating through an Exhaust Pipe Silencer System (배기 소음기내를 전파하는 비정상 충격파의 수치해석)

  • Kweon, Y.H.;Kim, H.D.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.462-467
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    • 2001
  • The present study addresses a computational work of the weak shock wave propagatings inside a silencer system of automobile exhaust pipe. Four different types of the silencer systems and the initial shock wave Mach number $M_s$ of $1.01\sim1.30$ are applied to investigate their effects on the noise reduction and the flow field in a silencer system. The results obtained from the present computational work are compared with the experimental results. The second order total variation diminishing (TVD) scheme is employed to solve the two dimensional, compressible, unsteady, Euler equations. The present computational results predict the experimental results with a quite good accuracy. Of the four silencer systems applied, the most desirable silencer system to reduce the peak pressure at the exit of the exhaust pipe is discussed.

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A time-dependent propagation of nonlinear magnetosonic waves in the interplanetary space with solar wind

  • Kim, Kyung-Im;Lee, Dong-Hun;Kim, Khan-Hyuk;Kim, Ki-Hong
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.46.2-46.2
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    • 2010
  • A magnetosonic wave is a longitudinal wave propagating perpendicularly to the magnetic fields and involves compression and rarefaction of the plasma. Lee and Kim (2000) investigated the theoretical solution for the evolution of nonlinear magnetosonic waves in the homogeneous space which adopt the approach of simple waves. We confirm the solution using a one-dimensional MHD code with Total Variation Diminishing (TVD) scheme. Then we apply the solution for the solar wind profiles. We examined the properties of nonlinear waves for the various initial perturbations at near the Lagrangian (L1) point. Also we describe waves steepening process while the shock is being formed by assuming different timescales for a driving source.

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Issues and Solutions of Roe Schemes for High Mach Number Flows (고마하수 유동에서 Roe 해법의 문제와 해결)

  • Won S. H.;Choi J. Y.;Jeung I. S.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.04a
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    • pp.128-134
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    • 2005
  • In the CFD area, the numerical analysis of high Mach number flow over a blunt-body poses many issues. Various numerical schemes have been developed to cover the issues, but the traditional schemes are still used widely due to the complexities of new schemes and intricacy of modifying the established codes. In the present study, the well-known Roe's FDS based on TVD-MUSCL scheme is used for the solution of very high Mach number three-dimensional flows posing carbuncle and non-physical phenomena in numerical analysis. A parametric study was carried out to account for the effects of the entropy fixing, grid configurations and initial condition. The carbuncle phenomena could be easily overcome by the entropy fixing, and the non-physical solution could be eliminated by the use of the modified initial condition regardless of entropy fixing and grid configurations.

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A Numerical Study of the Effects of Piston Head Configurations on Stratified Mixture Formation in Gasoline Direct-injection Engines

  • Cha, Kyung-Se;Park, Chan-Guk;Tomoyuki Wakisaka
    • Journal of Mechanical Science and Technology
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    • v.16 no.4
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    • pp.557-563
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    • 2002
  • In this paper, the characteristics of flow and spray motions affected by from piston head configurations were investigated numerically. Calculations were carried out from intake process to the end of compression. GTT (Generalized Tank and Tube method) code, which includes a third order upwind Chakravarthy-Osher TVD scheme and k-$\varepsilon$ turbulence model with fuel spray analysis was used for the calculations. As a results, piston heads with smaller radii of curvature were found to give stronger reverse tumble than those with larger radii of curvature. Similar results are shown in the convection and diffusion of fuel sprays.

NUMERICAL REQUIREMENTS FOR THE SIMULATION OF DETONATION CELL STRUCTURES (기체 상 데토네이션 셀 구조 해석을 위한 수치적 요구 조건)

  • Choi, Jeong-Yeol;Cho, Deok-Rae;Lee, Su-Han
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.177-181
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    • 2007
  • Present study examines the numerical issues of cell structure simulation for various regimes of detonation phenomena ranging from weakly unstable to highly unstable detonations. Inviscid fluid dynamics equations with $variable-{\gamma}$ formulation and one-step Arrhenius reaction model are solved by a MUSCL-type TVD scheme and 4th order accurate Runge-Kutta time integration scheme. A series of numerical studies are carried out for the different regimes of the detonation phenomena to investigate the computational requirements for the simulation of the detonation wave cell structure by varying the reaction constants and grid resolutions. The computational results are investigated by comparing the solution of steady ZND structure to draw out the minimum grid resolutions and the size of the computational domain for the capturing cell structures of the different regimes of the detonation phenomena.

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EXPERIMENTAL AND COMPUTATIONAL STUDIES ON HYSTERISYS PHENOMENON OF SUPERSONIC COANDA WALL JETS

  • Kim, Heuy-Dong;Kweon, Oh-Sik;Setoguchi, Toshiaki
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.514-519
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    • 2000
  • Recently a considerable interest is being concentrated on industrial applications of supersonic Coanda wall jets, but the flow physics are not still understood well. It is of practical importance to evaluate the effectiveness of supersonic Coanda wall jet devices fer such industrial purposes. In the present work, experiments and computations were performed to Set a better understanding of the supersonic Coanda jet physics. The experiments were made using a small blow-down wind tunnel. The operating pressure ratio and the Coanda surface configuration were changed to investigate their influences on the wall jet flows. Two-dimensional Navier-Stokes computations were performed using a TVD finite volume scheme to effectively capture the important wave structures of supersonic Coanda jet flows. Both experimental and computational results showed several important hysterical features of the supersonic Coanda wall jets; the attachment and detachment of supersonic Coanda jet were strongly dependent on the change processes of the operating pressure ratio and the detailed flow configuration.

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A Computational Study of the Mach Disk in Under-Expanded Moist Air Jet (부족팽창 습공기 제트의 마하디스크 거동에 관한 수치적 연구)

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.514-519
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    • 2003
  • A computational study is performed to clarify the characteristics of supersonic moist air jet issuing from a simple sonic nozzle. The effects of the initial supersaturation on the Mach disk diameter and location, the barrel shock wave and jet boundary structures are investigated in details. The axisymmetric, compressible, Navier-Stokes equations, coupled with droplet growth equation, are solved using a third-order MUSCL type TVD finite-difference scheme. It is found that the Mach disk diameter increases with an increase in relative humidity of moist air. while its location is not significantly dependent on the relative humidity. As the relative humidity increases, the barrel shock wave and jet boundary are more expanded due to the local static pressure rise of nonequilibrium condensation.

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Effect of Tube Area on the Impulse Wave Discharged from the Exit of Tube (관출구로부터 방출되는 펄스파에 미치는 관단면적의 영향)

  • Shin, Hyun-Dong;Lee, Young-Ki;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.544-549
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    • 2003
  • When a shock wave arrives at an open end of tube, an impulse wave is discharged from the tube exit and causes serious noise and vibration problems. In the current study, the effect of the cross-sectional area of tube on the impulse wave is numerically investigated using a CFD method. The Harten-Yee's total variation diminishing(TVD) scheme is used to solve the axisymmetric, two-dimensional, unsteady, compressible Euler equations. With three different cross-sectional areas of tube, the Mach number of the incident shock wave $M_{s}$ is varied between 1.01 and 1.5. The results obtained show that the directivity and magnitude of impulse wave strongly depend upon the Mach number of incident shock wave and are influenced by the tube area. It is also known that the tube cross-sectional area significantly affects the magnitude of impulse wave at or near the tube axis.

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Study on the Characteristics of Impulse Wave Discharged from the Tube Exit with Non-Circular Cross-Section (비원형 관출구로부터 방출되는 펄스파의 특성에 관한 연구)

  • Shin, Hyun-Dong;Kweon, Yong-Hun;Lee, Young-Ki;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.550-555
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    • 2003
  • When a shock wave arrives at an open end of tube, an impulse wave is discharged from the tube exit and complicated flow is formed near tube exit. The flow field is influenced by the cross-sectional geometry of tube exit, such as circular, square, rectangular, trapezoid and etc. In the current study, three-dimensional propagation characteristics of impulse wave discharged from the tube exit with non-circular cross section are numerically investigated using a CFD method. Total variation diminishing (TVD) scheme is used to solve the three-dimensional, unsteady, compressible Euler equations. Computations are performed for the Mach numbers of the incident shock wave $M_{s}$ below 1.5. The results obtained show that the peak pressure of the impulse wave and propagation directivity depends on the cross-sectional geometry of tube exit and the Mach number of incident shock wave.

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A Computational Study of the Mach Disk in Under-Expanded Moist Air Jet (부족팽창 습공기 제트의 마하디스크 거동에 관한 수치적 연구)

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.562-567
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    • 2003
  • A computational study is performed to clarify the characteristics of supersonic moist air jet issuing from a simple sonic nozzle. The effects of the initial supersaturation on the Mach disk diameter and location, the barrel shock wave and jet boundary structures are investigated in details. The axisymmetric, compressible, Navier-Stokes equations, coupled with droplet growth equation, are solved using a third-order MUSCL type TVD finite-difference scheme. It is found that the Mach disk diameter increases with an increase in relative humidity of moist air. while its location is not significantly dependent on the relative humidity. As the relative humidity increases, the barrel shock wave and jet boundary are more expanded due to the local static pressure rise of nonequilibrium condensation.

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