Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 299, Issue -, Pages 56-81Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.06.032
Keywords
Dealiasing; Spectral/hp methods; Continuous Galerkin; Discontinuous Galerkin; Flux reconstruction
Funding
- Laminar Flow Control Centre - Airbus/EADS
- EPSRC [EP/I037946]
- Engineering and Physical Sciences Research Council [EP/K027379/1]
- Royal Academy of Engineering
- EPSRC [EP/I037946/1, EP/K027379/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K027379/1, EP/I037946/1] Funding Source: researchfish
Ask authors/readers for more resources
High-order methods are becoming increasingly attractive in both academia and industry, especially in the context of computational fluid dynamics. However, before they can be more widely adopted, issues such as lack of robustness in terms of numerical stability need to be addressed, particularly when treating industrial-type problems where challenging geometries and a wide range of physical scales, typically due to high Reynolds numbers, need to be taken into account. One source of instability is aliasing effects which arise from the nonlinearity of the underlying problem. In this work we detail two dealiasing strategies based on the concept of consistent integration. The first uses a localised approach, which is useful when the nonlinearities only arise in parts of the problem. The second is based on the more traditional approach of using a higher quadrature. The main goal of both dealiasing techniques is to improve the robustness of high order spectral element methods, thereby reducing aliasing-driven instabilities. We demonstrate how these two strategies can be effectively applied to both continuous and discontinuous discretisations, where, in the latter, both volumetric and interface approximations must be considered. We show the key features of each dealiasing technique applied to the scalar conservation law with numerical examples and we highlight the main differences in terms of implementation between continuous and discontinuous spatial discretisations. (C) 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available