r-adaptive algorithms for supersonic flows with high-order Flux Reconstruction methods

COMPUTER PHYSICS COMMUNICATIONS(2022)

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摘要
The present paper addresses the development and implementation of the first r-adaptive mesh refinement (r-AMR) algorithm for a high-order Flux Reconstruction solver. The r-refinement consists on nodal re-positioning while keeping the number of mesh nodes and their connectivity frozen. The developed algorithm is based on physics-driven spring-analogies, where the mesh can be seen as a network of fictitious springs. While AMR increases the local mesh density, the high-order Flux Reconstruction method potentially provides a more accurate detection of complex flow features over relatively coarser mesh, when compared to low-order methods. In this work, a concise overview of the Flux Reconstruction method and spring-based AMR techniques will be given, followed by some promising results of r-AMR applied to benchmark high-order steady-state supersonic flow simulations. (c) 2022 Elsevier B.V. All rights reserved.
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关键词
Adaptive mesh refinement,r-AMR,Spring analogy,Flux Reconstruction,Cartesian meshes,Hypersonic flows
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