• Title/Summary/Keyword: Compressible Navier-Stokes Equation

Search Result 99, Processing Time 0.023 seconds

Center-of-Gravity Effect on Supersonic Separation from the Mother Plane (무게중심 변화에 따른 초음속 공중발사 로켓의 모선분리 연구)

  • Ji, Young-Moo;Lee, Jae-Woo;Byun, Yung-Hwan;Park, Jung-Sang
    • 유체기계공업학회:학술대회논문집
    • /
    • 2006.08a
    • /
    • pp.423-426
    • /
    • 2006
  • An analysis is made of flow and rocket motion during a supersonic separation stage of air-launching rocket(ALR) from the mother plane. Three-dimensional compressible Navier-Stokes equations is numerically solved to analyze the steady/unsteady flow field around the rocket which is being separated from the mother plane configuration(F-4E Phantom). The simulation results clearly demonstrate the effect of shock-expansion wave interaction between the rocket and the mother plane. To predict the behavior of the ALR according to the change of the C.G., three cases of numerical analysis are performed. As a result, a design-guideline of supersonic air-launching rocket for the safe separation is proposed.

  • PDF

The analysis of flow over the bridge using preconditioned Navier-Stokes code (예조건화 Navier-Stokes 코드를 이용한 교각 유동해석)

  • Yoo, Il-Yong;Lee, Seung-Soo;Park, Si-Hyong
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03b
    • /
    • pp.13-16
    • /
    • 2008
  • After the collapse of the Tacoma bay bridge at Tacoma Washington, the accurate prediction of aerodynamics became crucial to the sound design of bridges. CFD(Computational Fluid Dynamics) becomes important tool for the prediction on wind effects on the bridge due to the recent development of CFD. The usage of CFD is further prompted by the advantages in using CFD, such as low-cost and fast feed-back of design. In this paper, an unsteady compressible Reynolds averaged Navier-Stokes code is used for the computation of the flow over bridges. Coakley's ��q-${\omega}$ �� two-equation turbulence model is used for the turbulent eddy viscosity. For accurate and stable computations, the local preconditioning method is adapted to the code. Aerodynamic characteristics of a couple bridges are presented to show the validity and the accuracy of the method.

  • PDF

Management of Discon tinuous Reconstruction In the Evolution Stage of Kinetic Scheme

  • Ohwada Taku;Kobayashi Seijiro
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2003.10a
    • /
    • pp.189-190
    • /
    • 2003
  • A New kinetic scheme for the compressible Navier-Stokes equations is developed. While the conventional approach, such as KFVS scheme, employs the splitting algorithm and computes the numerical flux on the basis of the collisionless equation, the present approach employs the splitting algorithm in the evaluation of the numerical flux, where the collision effect is explicitly taken into account. However, the initial condition employed in the computation is slightly different from the conventional Chapman-Enskog NS distribution function. The present study also reveals the background of the existing kinetic schemes. such as the KFVS scheme and Gas-Kinetic BGK scheme.

  • PDF

Incompressible/Compressible Flow Analysis over High-Lift Airfoils Using Two-Equation Turbulence Models (2-방정식 난류모델을 이용한 고양력 익형 주위의 비압축성/압축성 유동장 해석)

  • Kim C. S.;Kim C. A.;Rho O. H.
    • Journal of computational fluids engineering
    • /
    • v.4 no.1
    • /
    • pp.53-61
    • /
    • 1999
  • Two-dimensional, unsteady, incompressible and compressible Navier-Stokes codes are developed for the computation of the viscous turbulent flow over high-lift airfoils. The compressible code involves a conventional upwind-differenced scheme for the convective terms and LU-SGS scheme for temporal integration. The incompressible code with pseudo-compressibility method also adopts the same schemes as the compressible code. Three two-equation turbulence models are evaluated by computing the flow over single and multi-element airfoils. The compressible and incompressible codes are validated by predicting the flow around the RAE 2822 transonic airfoil and the NACA 4412 airfoil, respectively. In addition, both the incompressible and compressible code are used to compute the flow over the NLR 7301 airfoil with flap to study the compressible effect near the high-loaded leading edge. The grid systems are efficiently generated using Chimera overlapping grid scheme. Overall, the κ-ω SST model shows closer agreement with experiment results, especially in the prediction of adverse pressure gradient region on the suction surfaces of high-lift airfoils.

  • PDF

Center-of-Gravity Effect on Supersonic Separation from the Mother Plane (무게중심 변화에 따른 초음속 공중발사 로켓의 모선분리 연구)

  • Ji Young-Moo;Lee Jae-Woo;Byun Yung-Hwan;Park Jun-Sang
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2006.05a
    • /
    • pp.36-40
    • /
    • 2006
  • An analysis is made of flow and rocket motion during a supersonic separation stage of air-launching rocket(ALR) from the mother plane. Three-dimensional compressible Navier-Stokes equations is numerically solved to analyze the steady/unsteady flow field around the rocket which is being separated from the mother plane configuration(F-4E Phantom). The simulation results clearly demonstrate the effect of shock-expansion wave interaction between the rocket and the mother plane. To predict the behavior of the ALR according to the change of the C.G., three cases of numerical analysis are performed. As a result, a design-guideline of supersonic air-launching rocket for the safe separation is proposed.

  • PDF

Numerical Solutions of Compressible Navier-Stokes Equations on Hybrid Meshes Using Newton-GMRES Method (Newton-GMRES 법을 사용한 혼합격자에서의 압축성 Navier-Stoke 방정식 수치 해석)

  • Choi Hwan-Seok
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2000.05a
    • /
    • pp.178-183
    • /
    • 2000
  • An efficient Newton-GMRES algorithm is presented for computing two-dimensional steady compressible viscous flows on unstructured hybrid meshes. The scheme is designed on cell-centered finite volume method which accepts general polygonal meshes. Steady-state solution is obtained with pseudo-transient continuation strategy. The preconditioned, restarted general minimum residual(GMRES) method is employed in matrix-free form to solve the linear system arising at each Newton iteration. The incomplete LU fartorization is employed for the preconditioning of linear system. The Spalart-Allmars one equation turbulence model is fully coupled with the flow equations to simulate turbulence effect. The accuracy, efficiency and robustness of the presently developed method are demonstrated on various test problems including laminar and turbulent flows over flat plate and airfoils.

  • PDF

A CFD Prediction of a Micro Critical Nozzle (마이크로 임계노즐 유동의 CFD 예측)

  • 김재형;김희동;박경암
    • Journal of the Korean Society of Propulsion Engineers
    • /
    • v.7 no.2
    • /
    • pp.7-14
    • /
    • 2003
  • Computational work using the axisymmetric, compressible, Navier-Stokes Equations is carried out to predict the discharge coefficient of mass flow through a micro-critical nozzle. Several kinds of turbulence models and wall functions are employed to validate the computational predictions. The computed results are compared with the previous experimented ones. The present computations predict the experimental discharge coefficients with a reasonable accuracy. It is found that the standard $\kappa$-$\varepsilon$turbulence model with the standard wall function gives a best prediction of the discharge coefficients. The displacement thickness of the nozzle wall boundary layer is evaluated at the nozzle throat and is well compared to a prediction obtained by an empirical equation. The resulting displacement thickness of the wall boundary layer is about 2% to 0.6% of the diameter of the nozzle throat for the Reynolds numbers of 2000 to 20000.

Incompressible/Compressible Flow Analysis over High-Lift Airfoil Using Two-Equation Turbulence Models (2-방정식 난류모델을 이용한 고양력 익형 주위의 비압축성/압축성 유동장 해석)

  • Kim Chang-Seong;Kim Jong-Am;No O Hyeon
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1998.11a
    • /
    • pp.90-95
    • /
    • 1998
  • The two-dimensional incompressible and compressible Navier-Stokes codes are developed for the computation of the viscous turbulent flow over high-lift airfoils. Incompressible code using pseudo-compressibility and dual-time stepping method involves a conventional upwind differencing scheme for the convective terms and LU-SGS scheme for time integration. Compressible code also adopts an FDS scheme and LU-SGS scheme. Several two-equation turbulence models (the standard $k-{\varepsilon}$ model, the $k-{\omega}$ model. and $k-{\omega}$ SST model) are evaluated by computing the flow over single and multi-element airfoils. The compressible and incompressible codes are validated by computing the flow around the transonic RAE2822 airfoil and the NACA4412 airfoil, respectively. Both the results show a good agreement with experimental surface pressure coefficients and velocity profiles in the boundary layers. Also, the GA(W)-1 single airfoil and the NLR7301 airfoil with a flap are computed using the two-equation turbulence models. The grid systems around two- and three-element airfoil are efficiently generated using Chimera grid scheme, one of the overlapping grid generation methods.

  • PDF

Numerical study of Three-Dimensional Viscous Flow and Compression Wave Induced by the High Speed Train Entering into a Tunnel (터널에 진입하는 고속전철 주위의 3차원 점성유동과 압축파 특성에 관한 수치해석적 연구)

  • Shin C. H.;Park W. G.
    • Journal of computational fluids engineering
    • /
    • v.5 no.3
    • /
    • pp.23-31
    • /
    • 2000
  • The three-dimensional unsteady compressible Full Navier-Stokes equation solver with sliding multi-block method has been applied to analyze three dimensional characteristics of the viscous flow field and compression wave around the high speed train which is entering into a tunnel. The numerical scheme of AF + ADI was used to efficiently solve Navier-Stokes equations in the curvilinear coordinate system. The vortex formation owing to the viscous interaction around the train was found and the generation of compression wave due to the blockage effects was observed ahead of the train in the form of plane wave. The three dimensional characteristics of the flow field compared to the analytic results were discussed in detail. The variation of pressure of tunnel wall surface and velocity profile of the train are identified as the train enters into a tunnel. The changes in aerodynamic forces and streamlines of each specific sections are also discussed.

  • PDF

Computational Study on the Fluidic Thrust Vectoring of a Propellant Jet (추진제트의 Fluidic Thrust Vectoring에 관한 수치해석 연구)

  • 김재형;임채민;김희동;조재필
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2003.05a
    • /
    • pp.23-26
    • /
    • 2003
  • Recently, the thrust vector control using a secondary flow injection which is accomplished by injecting a secondary flow into the supersonic exhaust flow through hole in the wall of the propulsion nozzle has been attention in the applications of the rocket propulsion system. In the present study, 3-dimensional compressible, Navier-Stokes equation to understand the SITVC(Secondary Injection Thrust Vector Control) flow field. The computational results are validated with previous experimental data available. The computational results are visualized detailed structure of shock wave induced by secondary flow and deflected supersonic jets.

  • PDF