DOI QR코드

DOI QR Code

PRECONDITIONED NAVIER-STOKES COMPUTATION FOR WEAKLY COMPRESSIBLE FLOW ANALYSIS ON UNSTRUCTURED MESH

비정렬격자와 예조건화 기법을 이용한 저압축성 점성유동해석

  • Son, S.J. (Naval Research Laboratory, Republic of Korea Navy) ;
  • Ahn, H.T. (School of Naval Architecture and Ocean Engineering, Univ. of Ulsan)
  • Received : 2013.07.18
  • Accepted : 2013.09.17
  • Published : 2013.09.30

Abstract

Preconditioned compressible Navier-Stokes equations are solved for almost incompressible flows. Unstructured meshes are utilized for spatial discretization of complex flow domain. Effectiveness of the current preconditioning algorithm, with respect to various Reynolds numbers and Mach numbers, is demonstrated by the solution of canonical problems for incompressible flows, e.g. driven cavity flows.

Keywords

References

  1. 2011, Tran, H.P. and Ahn, H.T., "Air compressibility Effect in CFD-based Water Impact analysis," Journal of the Society of Naval Architects of Korea, Vol.48, pp.581-591. https://doi.org/10.3744/SNAK.2011.48.6.581
  2. 1993, Choi, Y.H. and Merkle, C.L., "The Application of Preconditioning in Viscous Flows," Journal of Computational Physics, Vol.105, pp.207-223. https://doi.org/10.1006/jcph.1993.1069
  3. 2005, Kallinderis, Y. and Ahn, H.T., "Incompressible Navier-Stokes method with general hybrid meshes," Journal of Computational Physics, Vol.210, pp.75-108. https://doi.org/10.1016/j.jcp.2005.04.002
  4. 1995, Weiss, J.M. and smith, W.A., "Preconditioning applied to Variable and Constant Density Time-Accurate Flows on Unstructured Meshes," Journal of Computational Physics, Vol.33, pp.2050-2057.
  5. 2001, Luo, H., Baum, J.D. and Löhner, R., "A Fast, Matrix-free Implicit Method for Computing Low Mach Number Flows on Unstructured Grids," International Journal of Computational Fluid Dynamics, Vol.14, pp.133-157.
  6. 1998, Luo, H., Baum, J.D. and Löhner, R., "A Fast, Matrix-free Implicit Method for Compressible Flows on Unstructured Grids," Journal of Computational Physics, Vol.146, pp.664-690. https://doi.org/10.1006/jcph.1998.6076
  7. 1981, Roe, P.L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," Journal of Computational Physics, Vol.43, pp.357-372. https://doi.org/10.1016/0021-9991(81)90128-5
  8. 1982, Ghia, U., Ghia, K.N. and Shin, C.T. "High-Re Solution for incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method," Journal of Computational Physics, Vol.48, pp387-411. https://doi.org/10.1016/0021-9991(82)90058-4
  9. 1998, Botella, O. and Peyret, R., "Benchmark spectral results on the lid-driven cavity flow," Computers and Fluids, Vol.27, pp421-433. https://doi.org/10.1016/S0045-7930(98)00002-4