Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 313, Issue -, Pages 1-12Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.11.064
Keywords
Polynomial De-aliasing; Projection filter; Turbulence; Discontinuous Galerkin Method
Funding
- Friedrich and Elisabeth Boysen Stiftung
- Deutsche Forschungsgemeinschaft
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Scale-resolving simulations of turbulent flows in complex domains demand accurate and efficient numerical schemes, as well as geometrical flexibility. For underresolved situations, the avoidance of aliasing errors is a strong demand for stability. For continuous and discontinuous Galerkin schemes, an effective way to prevent aliasing errors is to increase the quadrature precision of the projection operator to account for the nonlinearity of the operands (polynomial dealiasing, overintegration). But this increases the computational costs extensively. In this work, we present a novel spatially and temporally adaptive dealiasing strategy by projection filtering. We show this to be more efficient for underresolved turbulence than the classical overintegration strategy. For this novel approach, we discuss the implementation strategy and the indicator details, show its accuracy and efficiency for a decaying homogeneous isotropic turbulence and the transitional Taylor-Green vortex and compare it to the original overintegration approach and a state of the art variational multi-scale eddy viscosity formulation. (C) 2015 Elsevier Inc. All rights reserved.
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