Artigo Acesso aberto Revisado por pares

Green–Gauss/Weighted-Least-Squares Hybrid Gradient Reconstruction for Arbitrary Polyhedra Unstructured Grids

2013; American Institute of Aeronautics and Astronautics; Volume: 51; Issue: 11 Linguagem: Inglês

10.2514/1.j052095

ISSN

1533-385X

Autores

Eiji Shima, Keiichi Kitamura, T. Haga,

Tópico(s)

Fluid Dynamics and Turbulent Flows

Resumo

No AccessTechnical NoteGreen–Gauss/Weighted-Least-Squares Hybrid Gradient Reconstruction for Arbitrary Polyhedra Unstructured GridsEiji Shima, Keiichi Kitamura and Takanori HagaEiji ShimaJapan Aerospace Exploration Agency, Sagamihara 252-5210, Japan*Senior Researcher and Director, JAXA’s JEDI Center, 3-1-1 Yoshinodai, Chuo. Member AIAA.Search for more papers by this author, Keiichi KitamuraJapan Aerospace Exploration Agency, Sagamihara 252-5210, Japan†Research Fellow of JSPS, JAXA’s JEDI Center, 3-1-1 Yoshinodai, Chuo; currently Assistant Professor at Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Japan (Corresponding Author). Member AIAA.Search for more papers by this author and Takanori HagaJapan Aerospace Exploration Agency, Sagamihara 252-5210, Japan‡Researcher, JAXA’s JEDI Center, 3-1-1 Yoshinodai, Chuo. Member AIAA.Search for more papers by this authorPublished Online:22 Oct 2013https://doi.org/10.2514/1.J052095SectionsView Full TextPDFPDF Plus ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Mavriplis D. J., “Revisiting the Least-Squares Procedure for Gradient Reconstruction on Unstructured Meshes,” AIAA Paper 2003-3986, 2003. LinkGoogle Scholar[2] Wang Z. J., “A Fast Nested Multi-Grid Viscous Flow Solver for Adaptive Cartesian/Quad Grids,” International Journal of Numerical Methods in Fluids, Vol. 33, No. 5, 2000, pp. 657–680. doi: https://doi.org/10.1002/1097-0363(20000715)33:5 3.0.CO;2-G CrossrefGoogle Scholar[3] Aftosmis M., Gaitonde D. and Tavares T. S., “On the Accuracy, Stability and Monotonicity of Various Reconstruction Algorithms for Unstructured Meshes,” AIAA Paper 94-0415, 1994. Google Scholar[4] Hirsch C., “Numerical Computation of Internal and External Flows,” Volume 1, The Fundamentals of Computational Fluid Dynamics, 2nd ed., Butterworth–Heinemann, Burlington, MA, 2007, pp. 249–278. Google Scholar[5] Shima E., Kitamura K. and Fujimoto K., “New Gradient Calculation Method for MUSCL Type CFD Schemes in Arbitrary Polyhedra,” AIAA Paper 2010-1081, 2010. LinkGoogle Scholar[6] Wang Z. J. and Chen R. F., “Anisotropic Solution-Adaptive Viscous Cartesian Grid Method for Turbulent Flow Simulation,” AIAA Journal, Vol. 40, No. 10, 2002, pp. 1969–1978. doi: https://doi.org/10.2514/2.1558 AIAJAH 0001-1452 LinkGoogle Scholar[7] Aftosmis M. J., Berger M. J. and Alonso J. J., “Applications of a Cartesian Mesh Bondary-Layer Approach for Complex Configurations,” AIAA Paper 2006-0652, 2006. LinkGoogle Scholar[8] Luo H., Spiegel S. and Lohner R., “Hybrid Grid Generation Method for Complex Geometries,” AIAA Journal, Vol. 48, No. 11, 2010, pp. 2639–2647. doi: https://doi.org/10.2514/1.J050491 AIAJAH 0001-1452 LinkGoogle Scholar[9] Hashimoto A., Murakami K., Aoyama T., Ishiko K., Hishida M., Sakashita M. and Lahur P. R., “Toward the Fastest Unstructured CFD Code “FaSTAR”,” AIAA Paper 2012-1075, 2012. LinkGoogle Scholar[10] Gnoffo P., Buck G., Moss J., Nielsen E., Berger K., Jones W. T. and Rubavsky R., “Aerothermodynamic Analyses of Towed Ballutes,” AIAA Paper 2006-3771, 2006. LinkGoogle Scholar[11] Pandya S., Onufer J., Chan W. and Klopfer G., “Capsule Abort Recontact Simulation,” NAS Technical Rept., NAS-06-005, 2006. LinkGoogle Scholar[12] Catalano P., Marini M., Nicoli A. and Pizzicaroli A., “CFD Contribution to the Aerodynamic Data Set of the Vega Launcher,” Journal of Spacecraft and Rockets, Vol. 44, No. 1, 2007, pp. 42–51. doi:https://doi.org/10.2514/1.23534 JSCRAG 0022-4650 LinkGoogle Scholar[13] Bigarella E. D. V., Azevedo J. L. F. and Scalabrin L. C., “Centered and Upwind Multigrid Turbulent Flow Simulations of Launch Vehicle Configurations,” Journal of Spacecraft and Rockets, Vol. 44, No. 1, 2007, pp. 52–65. doi: https://doi.org/10.2514/1.23843 JSCRAG 0022-4650 LinkGoogle Scholar[14] Cockburn B. and Shu C. W., “The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems,” Journal of Computational Physics, Vol. 141, No. 2, 1998, pp. 199–224. doi:https://doi.org/10.1006/jcph.1998.5892 JCTPAH 0021-9991 CrossrefGoogle Scholar[15] Wang Z. J., Zhang L. and Liu Y., “Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids IV—Extension to Two-Dimensional Systems,” Journal of Computational Physics, Vol. 194, No. 2, 2004, pp. 716–741. doi:https://doi.org/10.1016/j.jcp.2003.09.012 JCTPAH 0021-9991 CrossrefGoogle Scholar[16] Van Leer B., “Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes,” Communications in Computational Physics, Vol. 1, No. 2, 2006, pp. 192–206. Google Scholar[17] Nishikawa H., “A First-Order System Approach for Diffusion Equation. I: Second-Order Residual-Distribution Schemes,” Journal of Computational Physics, Vol. 227, No. 1, 2007, pp. 315–352. doi: https://doi.org/10.1016/j.jcp.2007.07.029 JCTPAH 0021-9991 CrossrefGoogle Scholar[18] Shima E. and Kitamura K., “Parameter-Free Simple Low-Dissipation AUSM-Family Scheme for All Speeds,” AIAA Journal, Vol. 49, No. 8, 2011, pp. 1693–1709. doi: https://doi.org/10.2514/1.J050905 AIAJAH 0001-1452 LinkGoogle Scholar[19] Barth T. J. and Jespersen D. C., “The Design and Application of Upwind Schemes on Unstructured Meshes,” AIAA Paper 89-0366, 1989. LinkGoogle Scholar[20] Venkatakrishnan V., “Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters,” Journal of Computational Physics, Vol. 118, No. 1, 1995, pp. 120–130. doi:https://doi.org/10.1006/jcph.1995.1084 JCTPAH 0021-9991 CrossrefGoogle Scholar[21] Kitamura K. and Shima E., “Simple and Parameter-Free Second Slope Limiter for Unstructured Grid Aerodynamic Simulations,” AIAA Journal, Vol. 50, No. 6, 2012, pp. 1415–1426. doi: https://doi.org/10.2514/1.J051269 AIAJAH 0001-1452 LinkGoogle Scholar[22] Jameson A. and Turkel E., “Implicit Schemes and LU Decompositions,” Mathematics of Computation, Vol. 37, No. 156, 1981, pp. 385–397. MCMPAF 0025-5718 Google Scholar Previous article Next article

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