• 제목/요약/키워드: Fully implicit scheme

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초음속 공동유동에서의 진동감소 (Reduction of the Cavity Flow Oscillations at Supersonic Speeds)

  • 강민성;신춘식;권준경;김희동
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년도 제31회 추계학술대회논문집
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    • pp.345-348
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    • 2008
  • 본 연구는 마하수가 1.83인 초음속 유동이 사각공동 위를 지날 때 공동에서 발생하는 압력진동에 대해 수치해석 연구를 수행하였다. 수치해석방법으로는 3차원 압축성 Navier-stokes에 유한차분법을 사용하였다. 보조공동의 형상변화를 통한 압력진동의 저감효과에 대해 조사하였다. 그 결과 공동에서 발생하는 압력진동은 보조공동의 넓이, 길이, 두께의 크기에 의존함을 확인 할 수 있었다.

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AN EXPLICIT NUMERICAL ALGORITHM FOR SURFACE RECONSTRUCTION FROM UNORGANIZED POINTS USING GAUSSIAN FILTER

  • KIM, HYUNDONG;LEE, CHAEYOUNG;LEE, JAEHYUN;KIM, JAEYEON;YU, TAEYOUNG;CHUNG, GENE;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권1호
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    • pp.31-38
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    • 2019
  • We present an explicit numerical algorithm for surface reconstruction from unorganized points using the Gaussian filter. We construct a surface from unorganized points and solve the modified heat equation coupled with a fidelity term which keeps the given points. We apply the operator splitting method. First, instead of solving the diffusion term, we use the Gaussian filter which has the effect of diffusion. Next, we solve the fidelity term by using the fully implicit scheme. To investigate the proposed algorithm, we perform computational experiments and observe good results.

열린 공동 유동의 수치적 모사 및 Jet Blowing 을 이용한 제어 (Numerical Analysis and Control of Open Cavity Flow)

  • 장경식;박승오;최훈기
    • 한국항공우주학회지
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    • 제30권5호
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    • pp.101-108
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    • 2002
  • 본 연구는 비압축성 열린 공동 유동에 대한 수치적 모사이다. 2차원 Navier-Stokes 방적식을 제어체적에 대해 엇갈림 격자계를 이용하여 공간에 대해서는 C-QUICK을 시간에 대해서는 내재적 기법을 이용하여 적분하였다. 압력장은 SIMPLE-C 알고리즘에 의하여 계산 되었다. 정상 모드에서는 나타나지 않지만 전단층 모드의 경우에 나타나는 세 번째 소용돌이가 공동 유동의 안정성에 중요한 역할을 하는 것을 알 수 있었다. 이를 바탕으로 공동 앞전 아래 벽면에 Jet blowing을 정상 상태와 비정상 상태로 가하여 그 영향을 알아보았다. 주기적인 blowing 인 경우 가진 주기와 위상차 그리고 속도 크기가 중요한 변수이며 이 변수들에 의한 영향을 연구하였다.

Transient heat transfer of unidirectional (1D) and multidirectional (2D/3D) functionally graded panels

  • Samarjeet Kumar;Vishesh Ranjan Kar
    • Steel and Composite Structures
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    • 제49권5호
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    • pp.587-602
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    • 2023
  • This article presents the numerical modelling of transient heat transfer in highly heterogeneous composite materials where the thermal conductivity, specific heat and density are assumed to be directional-dependent. This article uses a coupled finite element-finite difference scheme to perform the transient heat transfer analysis of unidirectional (1D) and multidirectional (2D/3D) functionally graded composite panels. Here, 1D/2D/3D functionally graded structures are subjected to nonuniform heat source and inhomogeneous boundary conditions. Here, the multidirectional functionally graded materials are modelled by varying material properties in individual or in-combination of spatial directions. Here, fully spatial-dependent material properties are evaluated using Voigt's micromechanics scheme via multivariable power-law functions. The weak form is obtained through the Galerkin method and solved further via the element-space and time-step discretisation through the 2D-isoparametric finite element and the implicit backward finite difference schemes, respectively. The present model is verified by comparing it with the previously reported results and the commercially available finite element tool. The numerous illustrations confirm the significance of boundary conditions and material heterogeneity on the transient temperature responses of 1D/2D/3D functionally graded panels.

평형화학반응과 복사열전달을 고려한 로켓 플룸 유동 해석 (Numerical Study of Rocket Exhaust Plume with Equilibrium Chemical Reaction and Thermal Radiation)

  • 신재렬;최정열;최환석
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2004년도 춘계 학술대회논문집
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    • pp.146-153
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    • 2004
  • The Numerical study has been carried out to investigate the effects of chemical reaction and thermal radiation on the rocket plume flow-field at various altitudes. The theoretical formulation is based on the Navier-Stokes equations for compressible flows along with the infinitely fast chemistry and thermal radiation. The governing equations were solved by a finite volume fully-implicit TVD(Total Variation Diminishing) code which uses Roe's approximate Riemann solver and MUSCL(Monotone Upstream-centered Schemes for Conservation Laws) scheme. LU-SGS (Lower Upper Symmetric Gauss Seidel) method is used for the implicit solution strategy. An equilibrium chemistry module for hydrocarbon mixture with detailed thermo-chemical properties and a thermal radiation module for optically thin media were incorporated with the fluid dynamics code. In this study, kerosene-fueled rocket was assumed operating at O/F ratio of 2.34 with a nozzle expansion ratio of 6.14. Flight conditions considered were Mach number zero at ground level, Mach number 1.16 at altitude 5.06km and Mach number 2.9 at altitude 17.34km. Numerical results gave the understandings on the detailed plume structures at different altitude conditions. The diffusive effect of the thermal radiation on temperature field and the effect of chemical recombination during the expansion process could be also understood. By comparing the results from frozen flow and infinitely fast chemistry assumptions, the excess temperature of the exhaust gas resulting from the chemical recombination seems to be significant and cannot be neglected in the view point of performance, thermal protection and flow physics.

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HUGE DIRECT NUMERICAL SIMULATION OF TURBULENT COMBUSTION - TOWARD PERFECT SIMULATION OF IC ENGINE -

  • Tanahashi, Mamoru;Seo, Takehiko;Sato, Makoto;Tsunemi, Akihiko;Miyauchi, Toshio
    • 한국전산유체공학회지
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    • 제13권4호
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    • pp.114-125
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    • 2008
  • Current state and perspective of DNS of turbulence and turbulent combustion are discussed with feature trend of the fastest supercomputer in the world. Based on the perspective of DNS of turbulent combustion, possibility of perfect simulations of IC engine is shown. In 2020, the perfect simulation will be realized with 30 billion grid points by 1EXAFlops supercomputer, which requires 4 months CPU time. The CPU time will be reduced to about 4 days if several developments were achieved in the current fundamental researches. To shorten CPU time required for DNS of turbulent combustion, two numerical methods are introduced to full-explicit full-compressible DNS code. One is compact finite difference filter to reduce spatial resolution requirements and numerical oscillations in small scales, and another is well-known point-implicit scheme to avoid quite small time integration of the order of nanosecond for fully explicit DNS. Availability and accuracy of these numerical methods have been confirmed carefully for auto-ignition, planar laminar flame and turbulent premixed flames. To realize DNS of IC engine with realistic kinetic mechanism, several DNS of elemental combustion process in IC engines has been conducted.

사 염색의 Spindle 유동에 관한 기초적 연구 (A Fundamental Study on the Spindle Flow of the Yarn Dyeing)

  • 강민성;이호준;노석홍;전두환;김희동
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.3156-3161
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    • 2007
  • In the field of yarn dyeing, the most generally employed method is a type of package dyeing which uses a package of cheeses stacked on a spindle made of a perforated tube. In order to understand the process of level dyeing, it is essential to perform a study of the porous flow through the spindle for the cheese dyeing method. In this paper, the axisymmetric, incompressible, Navier-Stokes equations are solved for several spindle configurations using a fully implicit finite volume scheme. For investigating the flow patterns through the spindle, porous diameter and porosity is varied in the present study. The computational results show that the total pressure loss depends only on the velocity of inflow regardless of porous diameter and porosity and a large percentage of the mass flow rate through the spindle is discharged at the upside of the spindle. Therefore, it is required to design a new spindle to obtain the level dyeing.

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기액이상류 원심분리기의 성능개선에 관한 연구 (A Study of the Performance Improvement of a Centrifugal Separator for Gas-Liquid Two-Phase Flow)

  • 김진만;이준희;윤용관;김희동
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.3215-3220
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    • 2007
  • Gas-liquid separator has been designed for the sake of reducing expenses associated with production operations. To date, a number of gas-liquid separators have been installed and put to use for various applications. Despite the advantages of simple and compact configuration of separator with no moving part, its efficient operation is limited in terms of total pressure losses, separation performance and flow-induced noise and vibration, which are closely associated with the very complicated flow phenomena involved. In the present study, a gas-liquid centrifugal separator with a swirl vane is investigated for the purpose of water separation from compressed moisture air. The 3D Navier-Stokes equations are numerically solved using a fully implicit finite volume scheme. Based upon the obtained solutions, tangential velocities, centrifugal forces, vortices and total pressure losses are analyzed to find out the best design parameters. From the present study, several attempts are made to improve the performance of conventional separators of centrifugal type.

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실제기체 효과를 고려한 수소기체의 임계노즐 유동에 관한 연구 (Study on the Critical Nozzle Flow of Hydrogen Gas with Real Gas Effects)

  • 김재형;김희동
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.3003-3008
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    • 2007
  • Critical nozzle has been frequently employed to measure the flow rate of various gases, but hydrogen gas, especially being at high-pressure condition, was not nearly dealt with the critical nozzle due to treatment danger. According to a few experimental data obtained recently, it was reported that the discharge coefficient of hydrogen gas through the critical nozzle exceeds unity in a specific range of Reynolds number. No detailed explanation on such an unreasonable value was made, but it was vaguely inferred as real gas effects. For the purpose of practical use of high-pressure hydrogen gas, systematic research is required to clarify the critical nozzle flow of high-pressure hydrogen gas. In the present study, a computational fluid dynamics(CFD) method has been applied to predict the critical nozzle flow of high-pressure hydrogen gas. Redlich-Kwong equation of state that take account for the forces and volume of molecules of hydrogen gas were incorporated into the axisymmetric, compressible Navier-Stokes equations. A fully implicit finite volume scheme was used to numerically solve the governing equations. The computational results were validated with some experimental data available. The results show that the coefficient of discharge coefficient is mainly influenced by the compressibility factor and the specific heat ratio, which appear more remarkable as the inlet total pressure of hydrogen gas increases.

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스테이터-로터 상호간섭 효과를 고려한 3차원 터빈 블레이드의 유체/구조 연계해석 (Fluid/Structure Coupled Analysis of 3D Turbine Blade Considering Stator-rotor Interaction)

  • 김유성;김동현;김요한;박웅
    • 한국소음진동공학회논문집
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    • 제19권8호
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    • pp.764-772
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    • 2009
  • In this study, fluid/structure coupled analyses have been conducted for 3-D stator and rotor configuration. Advanced computational analysis system based on computational fluid dynamics(CFD) and computational structural dynamics(CSD) has been developed in order to investigate fluid/structure responses of general stator-rotor configurations. To solve the fluid/structure coupled problems, fluid domains are modeled using the structural grid system with dynamic moving and local deforming techniques. Reynolds-averaged Navier-Stokes equations with Spalart-Allmaras(S-A) and SST ${\kappa}-{\omega}$ turbulence models are solved for unsteady flow problems. A fully implicit time marching scheme based on the Newmark direct integration method is used for computing the coupled aeroelastic governing equations of the 3-D turbine blades for fluid-structure interaction(FSI) problems. Detailed fluid/structure analysis responses for stator-rotor interaction flow conditions are presented to show the physical performance and flow characteristics.