论文信息 - Dynamical Degree Adaptivity for DG-LES Models

Dynamical Degree Adaptivity for DG-LES Models

We present a first dynamically adaptive test of a physically based p-refinement criterion for DG-LES approaches recently proposed by the authors and applied so far to static adaptation only. The results, albeit preliminary, are encouraging and show that, also in the dynamically adaptive case, the proposed criterion allows to reduce significantly the number of degrees of freedom employed in a LES simulation without a major loss of accuracy.

Antonella Abbà | Luca Bonaventura | Matteo Tugnoli

[1] Steven J. Ruuth,et al. A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods , 2002, SIAM J. Numer. Anal..

[2] Giovanni Tumolo,et al. A semi‐implicit, semi‐Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction , 2015 .

[3] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .

[4] Antonella Abbà,et al. A locally p-adaptive approach for Large Eddy Simulation of compressible flows in a DG framework , 2016, J. Comput. Phys..

[5] A. Abbà,et al. Filter size definition in anisotropic subgrid models for large eddy simulation on irregular grids , 2017 .

[6] T. Hughes,et al. The variational multiscale method—a paradigm for computational mechanics , 1998 .

[7] Luca Bonaventura,et al. Dynamic models for Large Eddy Simulation of compressible flows with a high order DG method , 2014, Computers & Fluids.

[8] Luc Vervisch,et al. Three-dimensional boundary conditions for direct and large-eddy simulation of compressible viscous flows , 2008, J. Comput. Phys..

[9] Jean-François Remacle,et al. An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems , 2003, SIAM Rev..

[10] Giovanni Tumolo,et al. A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations , 2013, J. Comput. Phys..