A Preconditioned Flux Reconstruction/Correction Procedure via Reconstruction Formulation for Unsteady Low Mach Number Flows on Dynamic Unstructured Meshes

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dc.contributor.authorWang, Lai
dc.contributor.authorYu, Meilin
dc.date.accessioned2018-01-23T15:11:42Z
dc.date.available2018-01-23T15:11:42Z
dc.date.issued2017
dc.description.abstractPreconditioning methods can signicantly decrease the condition number of the linear system resulted from the discretization of compressible Navier-Stokes equations at low Mach numbers by replacing the physical acoustic wave speeds with numerical ones. In the present study, the high-order accurate flux reconstruction/correction procedure via reconstruction (FR/CPR) method with low Mach number preconditioning is used to solve Navier-Stokes equations at low Mach numbers (Ma ~ O (10⁻³)). The dual time stepping method is used to handle un-steady flow simulations, wherein the second-order backward differentiation formula (BDF2) is adopted to discretize the temporal derivative with respect to the physical time. A simple modi cation of the preconditioning formulation is proposed to deal with dynamic meshes. Numerical results of several benchmark tests have demonstrated that the preconditioned FR/CPR method works well for low Mach number flows.en_US
dc.format.extent17 pagesen_US
dc.genreconference papers and proceedingsen_US
dc.identifierdoi:10.13016/M24746T1J
dc.identifier.citationLai Wang and Meilin Yu. "A Preconditioned Flux Reconstruction/Correction Procedure via Reconstruction Formulation for Unsteady Low Mach Number Flows on Dynamic Unstructured Meshes", 55th AIAA Aerospace Sciences Meeting, AIAA SciTech Forum, (AIAA 2017-0737) https://doi.org/10.2514/6.2017-0737en_US
dc.identifier.urihttp://hdl.handle.net/11603/7699
dc.language.isoen_USen_US
dc.publisherAIAA SciTech Forumen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mechanical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Colletion
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofseries55th AIAA Aerospace Sciences Meeting;AIAA 2017-0737
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.subjectdynamic unstructured meshesen_US
dc.subjectPreconditioning methodsen_US
dc.subjectdiscretization of compressible Navier-Stokes equationsen_US
dc.subjectflux reconstruction/correction procedure via reconstructionen_US
dc.subjectFR/CPRen_US
dc.subjecttime stepping methoden_US
dc.subjectdual time steppingen_US
dc.subjectunsteady flow simulationsen_US
dc.titleA Preconditioned Flux Reconstruction/Correction Procedure via Reconstruction Formulation for Unsteady Low Mach Number Flows on Dynamic Unstructured Meshesen_US
dc.typeTexten_US

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