Mesh adaptation using C1 interpolation of the solution in an unstructured finite volume solver
作者： Mahkame Sharbatdar , Carl Ollivier-Gooch
DOI: 10.1002/FLD.4471
关键词:
摘要: Summary The goal of this paper is to show the effectiveness a newly developed estimate truncation error calculated based on C1 interpolation solution weighted by adjoint as adaptation indicator for an unstructured finite volume solver. We will that adjoint-based mesh corrected functional using new capable adapting improve accuracy and convergence rate. Both discrete continuous solutions are used adaptation. Results significantly better with than previously estimates.
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sci-hub.se 参考文章(44)
Ait-Ali-Yahia D, Baruzzi G, Fortin M, Dompierre J, Vallet M-G, Habashi W G, 異方性メッシュ適合法 ユーザ,メッシュおよびソルバに依存しないCFDを目指して II 構造格子 International Journal for Numerical Methods in Fluids. ,vol. 39, pp. 657- 673 ,(2002)
Timothy J. Barth, Numerical Methods for Gasdynamic Systems on Unstructured Meshes Theory and Numerics for Conservation Laws. pp. 195- 285 ,(1999) , 10.1007/978-3-642-58535-7_5
F. Alauzet, O. Pironneau, Continuous and discrete adjoints to the Euler equations for fluids International Journal for Numerical Methods in Fluids. ,vol. 70, pp. 135- 157 ,(2011) , 10.1002/FLD.2681
Christopher Michalak, Carl Ollivier-Gooch, Globalized matrix-explicit Newton-GMRES for the high-order accurate solution of the Euler equations Computers & Fluids. ,vol. 39, pp. 1156- 1167 ,(2010) , 10.1016/J.COMPFLUID.2010.02.008
Doug Pagnutti, Carl Ollivier-Gooch, A generalized framework for high order anisotropic mesh adaptation Computers & Structures. ,vol. 87, pp. 670- 679 ,(2009) , 10.1016/J.COMPSTRUC.2008.11.008
Wagdi G. Habashi, Julien Dompierre, Yves Bourgault, Djaffar Ait-Ali-Yahia, Michel Fortin, Marie-Gabrielle Vallet, Anisotropic mesh adaptation: towards user‐independent, mesh‐independent and solver‐independent CFD. Part I: general principles International Journal for Numerical Methods in Fluids. ,vol. 32, pp. 725- 744 ,(2000) , 10.1002/(SICI)1097-0363(20000330)32:6<725::AID-FLD935>3.0.CO;2-4
GARY WARREN, W. ANDERSON, JAMES THOMAS, SHERRIE KRIST, Grid convergence for adaptive methods 10th Computational Fluid Dynamics Conference. ,(1991) , 10.2514/6.1991-1592
Richard P. Dwight, Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation Journal of Computational Physics. ,vol. 227, pp. 2845- 2863 ,(2008) , 10.1016/J.JCP.2007.11.020
Krzysztof J. Fidkowski, David L. Darmofal, Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics AIAA Journal. ,vol. 49, pp. 673- 694 ,(2011) , 10.2514/1.J050073
Timothy J. Baker, Mesh adaptation strategies for problems in fluid dynamics Finite Elements in Analysis and Design. ,vol. 25, pp. 243- 273 ,(1997) , 10.1016/S0168-874X(96)00032-7