An implicit matrix-free Discontinuous Galerkin solver for viscous and turbulent aerodynamic simulations

作者: A. Crivellini , F. Bassi

DOI: 10.1016/J.COMPFLUID.2011.06.020

关键词: MathematicsApplied mathematicsTest caseAerodynamicsSolverComputational fluid dynamicsReynolds-averaged Navier–Stokes equationsTurbulenceComputational physicsMatrix (mathematics)Discontinuous Galerkin method

摘要: This paper presents some recent advancements of the computational efficiency a Discontinuous Galerkin (DG) solver for Navier–Stokes (NS) and Reynolds Averaged Navier Stokes (RANS) equations. The implementation performance Newton–Krylov matrix-free (MF) method is presented compared with matrix based (MB) counterpart. Moreover two solution strategies, developed in order to increase efficiency, are discussed experimented. Numerical results test cases proposed within EU ADIGMA (Adaptive Higher-Order Variational Methods Aerodynamic Applications Industry) project demonstrate capabilities method.

参考文章(31)
F. Bassi, A. Colombo, N. Franchina, A. Ghidoni, S. Rebay, Robust and Efficient Implementation of Very High-Order Discontinuous Galerkin Methods in CFD Springer, Berlin, Heidelberg. ,vol. 113, pp. 287- 299 ,(2010) , 10.1007/978-3-642-03707-8_20
F. Bassi, S. Rebay, A High Order Discontinuous Galerkin Method for Compressible Turbulent Flows Springer, Berlin, Heidelberg. pp. 77- 88 ,(2000) , 10.1007/978-3-642-59721-3_4
F. Bassi, L. Botti, A. Colombo, A. Crivellini, N. Franchina, A. Ghidoni, S. Rebay, Very High-Order Accurate Discontinuous Galerkin Computation of Transonic Turbulent Flows on Aeronautical Configurations Springer, Berlin, Heidelberg. ,vol. 113, pp. 25- 38 ,(2010) , 10.1007/978-3-642-03707-8_3
Gérard Bois, 4 th European Conference on Turbomachinery Fluid dynamics and Thermodynamics Local Conference Organising Committee. pp. 1- 1500 ,(2001)
J.G. Kennedy, M. Behr, V. Kalro, T.E. Tezduyar, Implementation of implicit finite element methods for incompressible flows on the CM-5 Computer Methods in Applied Mechanics and Engineering. ,vol. 119, pp. 95- 111 ,(1994) , 10.1016/0045-7825(94)00078-6
F. Brezzi, G. Manzini, D. Marini, P. Pietra, A. Russo, Discontinuous Galerkin approximations for elliptic problems Numerical Methods for Partial Differential Equations. ,vol. 16, pp. 365- 378 ,(2000) , 10.1002/1098-2426(200007)16:4<365::AID-NUM2>3.0.CO;2-Y
Hong Luo, Joseph D. Baum, Rainald Löhner, A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids Journal of Computational Physics. ,vol. 211, pp. 767- 783 ,(2006) , 10.1016/J.JCP.2005.06.019
Francesco Bassi, Andrea Crivellini, Antonio Ghidoni, Stefano Rebay, High-order discontinuous Galerkin discretization of transonic turbulent flows 47th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition, Orlando, Florida, USA, 5-8 January 2009. pp. 1- 15 ,(2009) , 10.2514/6.2009-180
Cristian R. Nastase, Dimitri J. Mavriplis, High-order discontinuous Galerkin methods using an hp-multigrid approach Journal of Computational Physics. ,vol. 213, pp. 330- 357 ,(2006) , 10.1016/J.JCP.2005.08.022
Björn Landmann, Manuel Kessler, Siegfried Wagner, Ewald Krämer, A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows Computers & Fluids. ,vol. 37, pp. 427- 438 ,(2008) , 10.1016/J.COMPFLUID.2007.02.009