WENO schemes on unstructured meshes using a relaxed a posteriori MOOD limiting approach

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dc.contributor.authorFarmakis, Pericles S.
dc.contributor.authorTsoutsanis, Panagiotis
dc.contributor.authorNogueira, Xesús
dc.date.accessioned2020-02-25T16:32:44Z
dc.date.available2020-02-25T16:32:44Z
dc.date.issued2020-02-24
dc.description.abstractIn this paper a relaxed formulation of the a posteriori Multi-dimensional Optimal Order Detection (MOOD) limiting approach is introduced for weighted essentially non-oscillatory (WENO) finite volume schemes on unstructured meshes. The main goal is to minimise the computational footprint of the MOOD limiting approach by employing WENO schemes—by virtue of requiring a smaller number of cells to reduce their order of accuracy compared to an unlimited scheme. The key characteristic of the present relaxed MOOD formulation is that the Numerical Admissible Detector (NAD) is not uniquely defined for all orders of spatial accuracy, and it is relaxed when reaching a 2nd-order of accuracy. The augmented numerical schemes are applied to the 2D unsteady Euler equations for a multitude of test problems including the 2D vortex evolution, cylindrical explosion, double-Mach reflection, and an implosion. It is observed that in many events, the implemented MOOD paradigm manages to preserve symmetry of the forming structures in simulations, an improvement comparing to the non-MOOD limited counterparts which cannot be easily obtained due to the multi-dimensional reconstruction nature of the schemes.en_UK
dc.identifier.citationFarmakis PS, Tsoutsanis P, Nogueira X. (2020) WENO schemes on unstructured meshes using a relaxed a posteriori MOOD limiting approach. Computer Methods in Applied Mechanics and Engineering, Volume 363, May 2020, Article number 112921en_UK
dc.identifier.cris26146954
dc.identifier.issn0045-7825
dc.identifier.urihttps://doi.org/10.1016/j.cma.2020.112921
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/15185
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectMOODen_UK
dc.subjectWENOen_UK
dc.subjectUnstructureden_UK
dc.subjectRMIen_UK
dc.subjectUCNS3Den_UK
dc.titleWENO schemes on unstructured meshes using a relaxed a posteriori MOOD limiting approachen_UK
dc.typeArticleen_UK

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