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dc.contributor.authorShen, Hua
dc.contributor.authorParsani, Matteo
dc.date.accessioned2019-08-07T12:35:00Z
dc.date.available2019-08-07T12:35:00Z
dc.date.issued2019-08-02
dc.identifier.citationShen, H., & Parsani, M. (2019). A rezoning-free CESE Scheme for solving the Compressible Euler Equations on Moving Unstructured Meshes. Journal of Computational Physics, 108858. doi:10.1016/j.jcp.2019.108858
dc.identifier.doi10.1016/j.jcp.2019.108858
dc.identifier.urihttp://hdl.handle.net/10754/656401
dc.description.abstractWe construct a space-time conservation element and solution element (CESE) scheme for solving the compressible Euler equations on moving meshes (CESE-MM) which allow an arbitrary motion for each of the mesh points. The scheme is a direct extension of a purely Eulerian CESE scheme that was previously implemented on hybrid unstructured meshes (Shen et al., J. Comput. Phys., 2015). It adopts a staggered mesh in space and time such that the physical variables are continuous across the interfaces of the adjacent space-time control volumes and, therefore, a Riemann solver is not required to calculate interface fluxes or the node velocities. Moreover, the staggered mesh can significantly alleviate mesh tangles so that the time step can be kept at an acceptable level without using any rezoning operation. The discretization of the integral space-time conservation law is completely based on the physical space-time control volume, thereby satisfying the physical and geometrical conservation laws. Plenty of numerical examples are carried out to validate the accuracy and robustness of the CESE-MM scheme.
dc.description.sponsorshipThe research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST). We would like to acknowledge the computer time provided by the KAUST Extreme Computing Research Center (ECRC).
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S002199911930542X
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [[Volume], [Issue], (2019-08-02)] DOI: 10.1016/j.jcp.2019.108858 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectcomputational fluid dynamics
dc.subjectspace-time conservation element and solution element method
dc.subjectthe compressible Euler equations
dc.subjecthybrid unstructured mesh
dc.subjectmoving mesh
dc.titleA rezoning-free CESE Scheme for solving the Compressible Euler Equations on Moving Unstructured Meshes
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentExtreme Computing Research Center
dc.identifier.journalJournal of Computational Physics
dc.rights.embargodate2021-08-02
dc.eprint.versionPost-print
kaust.personShen, Hua
kaust.personParsani, Matteo
kaust.acknowledged.supportUnitExtreme Computing Research Center (ECRC)
kaust.acknowledged.supportUnitKAUST Extreme Computing Research Center


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NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [[Volume], [Issue], (2019-08-02)] DOI: 10.1016/j.jcp.2019.108858 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [[Volume], [Issue], (2019-08-02)] DOI: 10.1016/j.jcp.2019.108858 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/