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dc.contributor.authorKetcheson, David I.
dc.contributor.authorQuezada de Luna, Manuel
dc.date.accessioned2021-03-22T06:36:41Z
dc.date.available2021-03-22T06:36:41Z
dc.date.issued2021-03-17
dc.identifier.urihttp://hdl.handle.net/10754/668182
dc.description.abstractWe investigate the numerical artifact known as a carbuncle, in the solution of the shallow water equations. We propose a new Riemann solver that is based on a local measure of the entropy residual and aims to avoid carbuncles while maintaining high accuracy. We propose a new challenging test problem for shallow water codes, consisting of a steady circular hydraulic jump that can be physically unstable. We show that numerical methods are prone to either suppress the instability completely or form carbuncles. We test existing cures for the carbuncle. In our experiments, only the proposed method is able to avoid unphysical carbuncles without suppressing the physical instability.
dc.description.sponsorshipWe thank Prof. Friedemann Kemm for sharing helpful code with us and for reviewing an early version of this manuscript.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2103.09664.pdf
dc.rightsArchived with thanks to arXiv
dc.titleNumerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump
dc.typePreprint
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Mathematics Group
dc.eprint.versionPre-print
dc.identifier.arxivid2103.09664
kaust.personKetcheson, David I.
kaust.personQuezada de Luna, Manuel
refterms.dateFOA2021-04-06T06:31:29Z


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