An hp‐adaptive unstructured finite volume solver for compressible flows

作者: Alireza Jalali , Carl Ollivier-Gooch

DOI: 10.1002/FLD.4396

关键词:

摘要: Summary The idea of hp-adaptation, which has originally been developed for compact schemes (such as finite element methods), suggests an adaptation scheme using a mixture mesh refinement and order enrichment based on the smoothness solution to obtain accurate efficiently. In this paper, we develop hp-adaptation framework unstructured volume methods residual- adjoint-based error indicators. For residual-based indicator, employ higher-order discrete operator estimate truncation error, whereas is weighted by adjoint problem output interest form indicator adaptations. We perform our local subdivision cells with non-conforming interfaces allowed reconstruction polynomials approximations. present results two-dimensional compressible flow problems including subsonic inviscid, transonic laminar around NACA 0012 airfoil also turbulent over flat plate. Our numerical suggest efficiency accuracy advantages hp-adaptations uniform flows without singularities. This article protected copyright. All rights reserved.

参考文章(40)
N. Ganesh, Nikhil V Shende, N. Balakrishnan, A Residual estimator based adaptation strategy for compressible flows cfd. pp. 383- 388 ,(2009) , 10.1007/978-3-540-92779-2_59
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
Carl Ollivier-Gooch, Michael Van Altena, A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation Journal of Computational Physics. ,vol. 181, pp. 729- 752 ,(2002) , 10.1006/JCPH.2002.7159
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
TIMOTHY BARTH, PAUL FREDERICKSON, Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction 28th Aerospace Sciences Meeting. ,(1990) , 10.2514/6.1990-13
Michael Andrew Park, Adjoint-Based, Three-Dimensional Error Prediction and Grid Adaptation AIAA Journal. ,vol. 42, pp. 1854- 1862 ,(2004) , 10.2514/1.10051
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
Todd Oliver, David Darmofal, An unsteady adaptation algorithm for discontinuous Galerkin discretizations of the RANS equations 18th AIAA Computational Fluid Dynamics Conference. pp. 306- 325 ,(2007) , 10.2514/6.2007-3940