• Title/Summary/Keyword: cell-centered method

Search Result 122, Processing Time 0.026 seconds

Convergence Characteristics of Upwind Method for Modified Artificial Compressibility Method

  • Lee, Hyung-Ro;Lee, Seung-Soo
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.12 no.4
    • /
    • pp.318-330
    • /
    • 2011
  • This paper investigates the convergence characteristics of the modified artificial compressibility method proposed by Turkel. In particular, a focus is mode on the convergence characteristics due to variation of the preconditioning factor (${\alpha}_u$) and the artificial compressibility (${\beta}$) in conjunction with an upwind method. For the investigations, a code using the modified artificial compressibility is developed. The code solves the axisymmetric incompressible Reynolds averaged Navier-Stokes equations. The cell-centered finite volume method is used in conjunction with Roe's approximate Riemann solver for the inviscid flux, and the central difference discretization is used for the viscous flux. Time marching is accomplished by the approximated factorization-alternate direction implicit method. In addition, Menter's k-${\omega}$ shear stress transport turbulence model is adopted for analysis of turbulent flows. Inviscid, laminar, and turbulent flows are solved to investigate the accuracy of solutions and convergence behavior in the modified artificial compressibility method. The possible reason for loss of robustness of the modified artificial compressibility method with ${\alpha}_u$ >1.0 is given.

Numerical optimization design by computational fluid dynamics (전산유체역학을 이용한 수치 최적설계)

  • Lee, Jeong-U;Mun, Yeong-Jun
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.20 no.7
    • /
    • pp.2347-2355
    • /
    • 1996
  • Purpose of the present study is to develop a computational design program for shape optimization, combining the numerical optimization technique with the flow analysis code. The present methodology is then validated in three cases of aerodynamic shape optimization. In the numerical optimization, a feasible direction optimization algorithm and shape functions are considered. In the flow analysis, the Navier-Stokes equations are discretized by a cell-centered finite volume method, and Roe's flux difference splitting TVD scheme and ADI method are used. The developed design code is applied to a transonic channel flow over a bump, and an external flow over a NACA0012 airfoil to minimize the wave drag induced by shock waves. Also a separated subsonic flow over a NACA0024 airfoil is considered to determine a maximum allowable thickness of the airfoil without separation.

NUMERICAL ANALYSIS OF SUPER-CAVITATING FLOW AROUND TWO-DIMENSIONAL AND AXISYMMETRIC BODIES (2차원 및 축대칭 운동체 주위의 초공동 현상에 대한 수치해석)

  • Park, Sun-Ho;Rhee, Shin-Hyung
    • Journal of computational fluids engineering
    • /
    • v.16 no.1
    • /
    • pp.14-21
    • /
    • 2011
  • Super-cavitating flows around under-water bodies are being studied for drag reduction and dramatic speed increase. In this paper, high speed super-cavitating flow around a two-dimensional symmetric wedge-shaped body were studied using an unsteady Reynolds-averaged Navier-Stokes equations solver based on a cell-centered finite volume method. To verify the computational method, flow over a hemispherical head-form body was simulated and validated against existing experimental data. Various computational conditions, such as different wedge angles and caviation numbers, were considered for the super-cavitating flow around the wedge-shaped body. Super-cavity begins to form in the low pressure region and propagates along the wedge body. The computed cavity lengths and velocities on the cavity boundary with varying cavitation number were validated by comparing with analytic solution.

A Numerical Analysis on Flow Fields and Calculation of Pressure Resistance about an Air Supported Ship (수치시뮬레이션에 의한 공기부양선 주위의 유동장해석과 조파저항계산)

  • Na Y. I.;Lee Y. G.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1995.10a
    • /
    • pp.43-48
    • /
    • 1995
  • A numerical computation is carried out to analyse characteristics of flow fields around Air Supported Ships having arbitrary form. The computations are performed in a rectangular grid system with MAC(Marker And Cell) method. The governing equations are represented in a Finite Difference form by forward differencing in time and centered differencing in space except for convection terms. For validation of this numerical analysis method, the computation of flow fields around Catamaran and ACV(Air Cushion Vehicle) with pressure distribution on free surface are done, and that around Surface Effect Ship is also carried out. The results of the computations are compared with the those of existed numerical computation and experimental results with the same condition.

  • PDF

Aerodynamic Performance Analysis of a Shrouded Rotor Using an Unstructured Mesh Flow Solver

  • Lee H. D.;Kwon O. J.;Joo J.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2003.10a
    • /
    • pp.263-265
    • /
    • 2003
  • The aerodynamic performance of a shrouded tail rotor in hover has been studied by using a compressible inviscid flow solver on unstructured meshes. The numerical method is based on a cell­centered finite-volume discretization and an implicit Gauss-Seidel time integration. The results show that the performance of an isolated rotor without shroud compares well with experiment. In the case of a shrouded rotor, correction of the collective pitch angle is made such that the overall performance matches with experiment to account for the uncertainties of the experimental model configuration. Details of the flow field compare well with the experiment confirming the validity of the present method.

  • PDF

Parallelization of an Unstructured Implicit Euler Solver (내재적 방법을 이용한 비정렬 유동해석 기법의 병렬화)

  • Kim J. S.;Kang H. J.;Park Y. M.;Kwon O. J.
    • Journal of computational fluids engineering
    • /
    • v.5 no.2
    • /
    • pp.20-27
    • /
    • 2000
  • An unstructured implicit Euler solver is parallelized on a Cray T3E. Spatial discretization is accomplished by a cell-centered finite volume formulation using an upwind flux differencing. Time is advanced by the Gauss-Seidel implicit scheme. Domain decomposition is accomplished by using the k-way n-partitioning method developed by Karypis. In order to analyze the parallel performance of the solver, flows over a 2-D NACA 0012 airfoil and 3-D F-5 wing were investigated.

  • PDF

STUDY ON HIGH RESOLUTION SCHEMES IN INTERFACE CAPTURING METHODS WITH UNSTRUCTURED GRIDS (비정렬격자계를 사용하는 경계면포착법에서 HR도식에 관한 연구)

  • Kim, J.E.;Myong, H.K.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2006.10a
    • /
    • pp.51-56
    • /
    • 2006
  • Several high resolution schemes such as OSHER, MUSCL, SMART, GAMMA, WACEB and CUBISTA are applied to two typical test cases of a translation test and a collapsing water column problem for the accurate capturing of fluid interfaces. It is accomplished by implementing the high resolution schemes in the in-house CFD code(PowerCFD) for computing 3-D flow with an unstructured cell-centered method, which is based on the finite-volume technique and fully conservative. The calculated results are found to show that SMART scheme gives the best performance with respect to accuracy and robustness.

  • PDF

Parallelization of an Unstructured Implicit Euler Solver (내재적 방법을 이용한 비정렬 유동해석 기법의 병렬화)

  • Kim J. S.;Kang H. J.;Park Y. M.;Kwon O. J.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1999.11a
    • /
    • pp.193-200
    • /
    • 1999
  • An unstructured implicit Euler solver is parallelized on a Cray T3E. Spatial discretization is accomplished by a cell-centered finite volume formulation using an unpwind flux differencing. Time is advanced by the Gauss-Seidel implicit scheme. Domain decomposition is accomplished by using the k-way N-partitioning method developed by Karypis. In order to analyze the parallel performance of the solver, flows over a 2-D NACA 0012 airfoil and a 3-D F-5 wing were investigated.

  • PDF

Numerical Analysis of Unsteady Cavitating Flow on a Three-dimensional Twisted Hydrofoil (3차원 비틀어진 날개 주위의 비정상 공동 현상에 대한 수치해석)

  • Park, Sun-Ho;Rhee, Shin-Hyung
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2011.05a
    • /
    • pp.31-40
    • /
    • 2011
  • Unsteady sheet cavitation on a three-dimensional twisted hydrofoil was studied using an unsteady Reynolds-averaged Navier-Stokes equations solver based on a cell-centered finite volume method. As a verification test of the computational method. non-cavitating and cavitating flow over a modified NACA66 foil section was simulated and validated against existing experimental data. The numerical uncertainties of forces and pressure were evaluated for three levels of mesh resolution. The computed pressure on the foil and the cavity shedding behavior were validated by comparing with existing experimental data. The cavity shedding dynamics by re-entrant jets from the end and sides of the cavity were investigated.

  • PDF

Turbulent Flow Calculations Using an Unstructured Hybrid Meshes (2차원 혼합격자를 이용한 난류유동 계산)

  • Kim J. S.;Oh W. S.;Kwon O. J.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1999.05a
    • /
    • pp.90-97
    • /
    • 1999
  • An implicit turbulent flow solver is developed for 2-D unstructured hybrid meshes. Spatial discretization is accomplished by a cell-centered finite volume formulation using an upwind flux differencing. Time is advanced by an implicit backward Euler time stepping scheme. Flow turbulence effects are modeled by the Spalart-Allmaras one equation model, which is coupled with wall function. The numerical method is applied for flows on a flat plate, the NACA 0012 airfoil, and the Douglas 3 element airfoil. The results are compared with experimental data.

  • PDF