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rp-adaptation for compressible flows

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Title: rp-adaptation for compressible flows
Authors: Marcon, J
Castiglioni, G
Moxey, D
Sherwin, SJ
Peiro, J
Item Type: Journal Article
Abstract: We present an rp-adaptation strategy for high-fidelity simulation of compressible inviscid flows with shocks. The mesh resolution in regions of flow discontinuities is increased by using a variational optimiser to r-adapt the mesh and cluster degrees of freedom there. In regions of smooth flow, we locally increase or decrease the local resolution through increasing or decreasing the polynomial order of the elements, respectively. This dual approach allows us to take advantage of the strengths of both methods for best computational performance, thereby reducing the overall cost of the simulation. The adaptation workflow uses a sensor for both discontinuities and smooth regions that is cheap to calculate, but the framework is general and could be used in conjunction with other feature-based sensors or error estimators. We demonstrate this proof-of-concept using two geometries at transonic and supersonic flow regimes. The method has been implemented in the open-source spectral/hp element framework Nektar++, and its dedicated high-order mesh generation tool NekMesh. The results show that the proposed rp-adaptation methodology is a reasonably cost-effective way of improving accuracy.
Issue Date: 15-Dec-2020
Date of Acceptance: 21-Aug-2020
URI: http://hdl.handle.net/10044/1/82628
DOI: 10.1002/nme.6529
ISSN: 0029-5981
Publisher: John Wiley and Sons
Start Page: 5405
End Page: 5425
Journal / Book Title: International Journal for Numerical Methods in Engineering
Volume: 121
Issue: Credible High-Fidelity and Low-Cost Simulations in Computational Engineering
Replaces: 10044/1/73687
http://hdl.handle.net/10044/1/73687
Copyright Statement: © 2020 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 675008
Keywords: Science & Technology
Technology
Physical Sciences
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Engineering
Mathematics
adaptivity
compressible flow
discontinuous Galerkin
error estimation
Euler flow
fluids
DISCONTINUOUS GALERKIN METHOD
Fluids
Compressible flow
Euler flow
Discontinuous Galerkin
Adaptivity
Error estimation
physics.comp-ph
physics.comp-ph
cs.CE
cs.CG
cs.NA
math.NA
physics.flu-dyn
65N50 (Primary) 35Q31, 35Q35, 65M50, 65M60, 65N30, 76H05, 76J20, 76N15 (Secondary)
G.1.8; G.4; I.3.5; I.6.3; I.6.6; J.2
physics.comp-ph
physics.comp-ph
cs.CE
cs.CG
cs.NA
math.NA
physics.flu-dyn
65N50 (Primary) 35Q31, 35Q35, 65M50, 65M60, 65N30, 76H05, 76J20, 76N15 (Secondary)
G.1.8; G.4; I.3.5; I.6.3; I.6.6; J.2
Applied Mathematics
09 Engineering
Publication Status: Published
Online Publication Date: 2020-08-25
Appears in Collections:Faculty of Engineering
Aeronautics



This item is licensed under a Creative Commons License Creative Commons