A dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation
作者： Lai Wang , Matthias K. Gobbert , Meilin Yu
DOI: 10.1016/J.JCP.2020.109581
关键词: Mathematics 、 Residual 、 Nonlinear system 、 Generalized minimal residual method 、 Reynolds number 、 Applied mathematics 、 Solver 、 Load balancing (computing) 、 Diagonal 、 Turbulence
摘要: Abstract We present a dynamically load-balanced parallel p-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation. The explicit first stage, singly diagonal Runge–Kutta (ESDIRK) is employed to circumvent the restriction on time step size. pseudo transient continuation coupled with matrix-free restarted generalized minimal residual (GMRES) solve nonlinear equations at each except one, of ESDIRK. use spectral decay smoothness indicator as refinement/coarsening p-adaptation. A dynamic load balancing technique developed aid open-source library ParMETIS. trivial cost, compared stepping, mesh repartitioning and data redistribution enables us conduct p-adaptation every step. An isentropic vortex propagation case study impact element weights used in efficiency. apply solver large eddy simulation (ILES) transitional flows over cylinder when Reynolds number (Re) 3900 SD7003 wing Re 60000. Numerical experiments demonstrate that significant reduction run (up 70%) total solution points 76%) can be achieved
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George Karypis, METIS and ParMETIS. parallel computing. pp. 1117- 1124 ,(2011)
W Gropp, P Brune, A Dener, S Abhyankar, K Rupp, B Smith, S Balay, D May, T Munson, D Kaushik, H Zhang, K Buschelman, M Knepley, R Mills, L Curfman McInnes, L Dalcin, J Brown, P Sanan, D Karpeyev, M Adams, S Zampini, Eijkhout, PETSc Users Manual Argonne National Laboratory. ,(2019)
Gregor Gassner, Marc Staudenmaier, Florian Hindenlang, Muhammed Atak, Claus-Dieter Munz, A space–time adaptive discontinuous Galerkin scheme Computers & Fluids. ,vol. 117, pp. 247- 261 ,(2015) , 10.1016/J.COMPFLUID.2015.05.002
G. Mengaldo, D. De Grazia, D. Moxey, P.E. Vincent, S.J. Sherwin, Dealiasing techniques for high-order spectral element methods on regular and irregular grids Journal of Computational Physics. ,vol. 299, pp. 56- 81 ,(2015) , 10.1016/J.JCP.2015.06.032
F. Bassi, L. Botti, A. Colombo, A. Ghidoni, F. Massa, Linearly implicit Rosenbrock-type Runge–Kutta schemes applied to the Discontinuous Galerkin solution of compressible and incompressible unsteady flows Computers & Fluids. ,vol. 118, pp. 305- 320 ,(2015) , 10.1016/J.COMPFLUID.2015.06.007
Chi-Wang Shu, Bernardo Cockburn, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems ,(2000)
Michael S. Selig, Summary of low speed airfoil data SoarTech Publications. ,(1995)
Jan S. Hesthaven, Tim Warburton, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications ,(2007)
Daniel J. Garmann, Miguel R. Visbal, Paul D. Orkwis, Comparative study of implicit and subgrid‐scale model large‐eddy simulation techniques for low‐Reynolds number airfoil applications International Journal for Numerical Methods in Fluids. ,vol. 71, pp. 1546- 1565 ,(2013) , 10.1002/FLD.3725
F. Bassi, L. Botti, A. Colombo, A. Crivellini, A. Ghidoni, F. Massa, On the development of an implicit high-order Discontinuous Galerkin method for DNS and implicit LES of turbulent flows European Journal of Mechanics B-fluids. ,vol. 55, pp. 367- 379 ,(2016) , 10.1016/J.EUROMECHFLU.2015.08.010