Nodal Space-Time Flux Reconstruction Methods for Conservation Laws

Simple item page
dc.contributor.authorYu, Meilin
dc.date.accessioned2018-01-23T15:17:43Z
dc.date.available2018-01-23T15:17:43Z
dc.date.issued2017
dc.description.abstractA nodal space-time flux reconstruction (FR) method is developed to solve conservation laws. In this method, the spatiotemporal flow system is discretized in a finite-difference like format without requirement for numerical quadrature. A dual time stepping method is used to solve the nonlinear system resulted from the space-time discretization. The nodal space-time FR method developed here can achieve arbitrarily high-order spatial and temporal accuracy without time step limitation. The numerical performance of this method has been verified with both the one dimensional (1D) and two dimensional (2D) linear wave propagation and nonlinear inviscid flow problems. It is found that if the Gauss-Legendre points are selected as solution points in the spatiotemporal element, the space-time FR method is superconvergent in time, no matter for the short- or long-term unsteady simulations. Similar to the findings reported by Asthana et al. (2017) [1], the space-time FR method shows superconvergent properties in space for long-term unsteady simulation.en_US
dc.format.extent14 pagesen_US
dc.genreconference papers and proceedingsen_US
dc.identifierdoi:10.13016/M2VQ2SC2T
dc.identifier.citationMeilin Yu. "Nodal Space-Time Flux Reconstruction Methods for Conservation Laws", 23rd AIAA Computational Fluid Dynamics Conference, AIAA AVIATION Forum, (AIAA 2017-3095) https://doi.org/10.2514/6.2017-3095en_US
dc.identifier.urihttp://hdl.handle.net/11603/7701
dc.language.isoen_USen_US
dc.publisherAIAA Aviation Forumen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mechanical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofseries23rd AIAA Computational Fluid Dynamics Conference;AIAA 2017-3095
dc.rightsThis item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.
dc.subjectconservation lawsen_US
dc.subjectspace-time flux reconstructionen_US
dc.subjectFRen_US
dc.subjectspatiotemporal flow systemen_US
dc.subjectdual time stepping methoden_US
dc.subjectspace-time discretizationen_US
dc.titleNodal Space-Time Flux Reconstruction Methods for Conservation Lawsen_US
dc.typeTexten_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
AIAA-2017-3095.pdf
Size:
1.91 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
YUpermissions.pdf
Size:
110.1 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

UMBC Mechanical Engineering Department
UMBC Faculty Collection