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Convergence Characteristics of Upwind Method for Modified Artificial Compressibility Method
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 Title & Authors
Convergence Characteristics of Upwind Method for Modified Artificial Compressibility Method
Lee, Hyung-Ro; Lee, Seung-Soo;
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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 () and the artificial compressibility () 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- 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 >1.0 is given.
Computational fluid dynamics;Incompressible Navier-Stokes equations;Upwind method;Artificial compressibility method;
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거스트 영향이 고려된 랜덤 분포 풍하중에 대한 대형 샌드위치 패널 구조물의 유체-구조 연성해석,박대웅;

한국소음진동공학회논문집, 2013. vol.23. 12, pp.1035-1044 crossref(new window)
Fluid-structure Interaction Analysis of Large Sandwich Panel Structure for Randomly Distributed Wind Load considering Gust Effects, Transactions of the Korean Society for Noise and Vibration Engineering, 2013, 23, 12, 1035  crossref(new windwow)
Beam, R. M. and Warming, R. F. (1982). Implicit Numerical Methods for the Compressible Navier-Stokes and Euler Equations. Rhode-Saint-Genese, Belgium: Von Karman Institute for Fluid Dynamics.

Chorin, A. J. (1967). A numerical method for solving incompressible viscous flow problems. Journal of Computational Physics, 2, 12-26. crossref(new window)

Esfahanian, V. and Akbarzadeh, P. (2009). Advanced investigation on design criteria of a robust, artificial compressibility and local preconditioning method for solving the inviscid incompressible flows. Proceeding of the Third International Conference on Modeling, Simulation, and Applied Optimization, Sharjah, UAE.

Kline, S. J., Coles, D. E., Hirst, E. A., and US Air Force. Office of Scientific Research. (1969). Computation of Turbulent Boundary Layers--1968 AFOSR-IFP-Stanford Conference Proceedings. Stanford: Stanford University. Thermosciences Division.

Kiris, C., Housman, J., and Kwak, D. (2006). Comparison of artificial compressibility methods. In C. Groth and D. W. Zingg, eds. Computational Fluid Dynamics 2004. Heidelberg, Germany: Springer Berlin. pp. 475-480.

Langley Research Center (2011). Turbfulence Modeling Resource. (Accessed Dec 16 2011).

Malan, A. G., Lewis, R. W., and Nithiarasu, P. (2002a). An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows. Part I. Theory and implementation. International Journal for Numerical Methods in Engineering, 54, 695-714. crossref(new window)

Malan, A. G., Lewis, R. W., and Nithiarasu, P. (2002b). An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows. Part II. Application. International Journal for Numerical Methods in Engineering, 54, 715-729. crossref(new window)

Menter, F. R. (1994). Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 32, 1598-1605. crossref(new window)

Merkle, C. L. and Athavale, M. (1987). Time-accurate unsteady incompressible flow algorithms based on artificial compressibility. AIAA 8th Computational Fluid Dynamics Conference, Honolulu, Hawaii. AIAA Paper No. 87-1137.

Michelassi, V., Migliorini, F., and Martelli, F. (1996). Preconditioned scalar approximate factorization method for incompressible fluid flows. International Journal of Computational Fluid Dynamics, 7, 311-325. crossref(new window)

Mittal, R. (1999). A Fourier-Chebyshev spectral collocation method for simulating flow past spheres and spheroids. International Journal for Numerical Methods in Fluids, 30, 921-937. crossref(new window)

Pan, D. and Chakravarthy, S. (1989). Unified formulation for incompressible flows. AIAA 27th Aerospace Science Meeting, Reno, NV. AIAA Paper No. 89-0122.

Peyret, R. and Taylor, T. D. (1983). Computational Methods for Fluid Flow. New York: Springer-Verlag. p. 358.

Rahman, M. M. and Siikonen, T. (2008). An artificial compressibility method for viscous incompressible and low Mach number flows. International Journal for Numerical Methods in Engineering, 75, 1320-1340. crossref(new window)

Roe, P. L. (1981). Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics, 43, 357-372. crossref(new window)

Rogers, S. E. and Kwak, D. (1990). Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations. AIAA Journal, 28, 253-262. crossref(new window)

Roos, F. W. and Willmarth, W. W. (1971). Some experimental results on sphere and disk drag. AIAA Journal, 9, 285-291. crossref(new window)

Ryu, S., Lee, S., and Kim, B. (2006). A study of local preconditioning method for compressible low speed flows. Journal of the Korea Institute of Military Science and Technology, 9, 152-160.

Schlichting, H. (1979). Boundary-Layer Theory. 7th ed. New York: McGraw-Hill.

Sheard, G. J., Thompson, M. C., and Hourigan, K. (2003). From spheres to circular cylinders: the stability and flow structures of bluff ring wakes. Journal of Fluid Mechanics, 492, 147-180. crossref(new window)

Turkel, E. (1987). Preconditioned methods for solving the incompressible and low speed compressible equations. Journal of Computational Physics, 72, 277-298. crossref(new window)

Turkel, E. (1992). Review of Preconditioning Methods for Fluid Dynamics. Hampton: Institute for Computer Applications in Science and Engineering. ICASE Report No. 92-74.

Van Leer, B. (1979). Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. Journal of Computational Physics, 32, 101-136. crossref(new window)