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Engineering with Computers
Published in:

09-12-2023 | Original Article

Stabilized isogeometric collocation methods for hyperbolic conservation laws

Authors: Ryan M. Aronson, John A. Evans

Published in: Engineering with Computers | Issue 6/2024

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Abstract

The article discusses the development of stabilized isogeometric collocation methods for hyperbolic conservation laws, particularly focusing on compressible flows. It introduces a residual-based viscosity and a novel linear stabilization technique to manage shocks and small-scale oscillations, ensuring the stability and accuracy of the numerical solutions. The method is demonstrated through various test cases, including linear advection, Burgers equation, and the compressible Euler equations, showcasing its potential for high-order CFD applications. The article highlights the efficiency and effectiveness of the proposed stabilization techniques, making it a valuable resource for researchers and practitioners in the field of CFD.
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Metadata
Title
Stabilized isogeometric collocation methods for hyperbolic conservation laws
Authors
Ryan M. Aronson
John A. Evans
Publication date
09-12-2023
Publisher
Springer London
Published in
Engineering with Computers / Issue 6/2024
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-023-01918-4

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