{"data":{"id":"10.4231/r7rv0km6","type":"dois","attributes":{"doi":"10.4231/r7rv0km6","prefix":"10.4231","suffix":"r7rv0km6","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Dong, Suchuan","givenName":"Suchuan","familyName":"Dong","affiliation":["Purdue University"],"nameIdentifiers":[{"schemeUri":"https://orcid.org","nameIdentifier":"https://orcid.org/0000-0001-6778-0679","nameIdentifierScheme":"ORCID"}]}],"titles":[{"title":"Generalized Energy-Stable Open Boundary Conditions for Incompressible Flows"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2015,"subjects":[{"subject":"Mathematics"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"outflow boundary condition"},{"subject":"open boundary condition"},{"subject":"outflow"},{"subject":"spectral element method"},{"subject":"energy stability"},{"subject":"energy-stable boundary conditions"},{"subject":"backflow instability"},{"subject":"unbounded domain"},{"subject":"velocity correction"},{"subject":"Navier-Stokes"},{"subject":"Physics"}],"contributors":[],"dates":[{"date":"2015-04-14","dateType":"Available"},{"date":"2015-04-14","dateType":"Submitted"},{"date":"2015-04-16","dateType":"Accepted"},{"date":"2015","dateType":"Issued"}],"language":"en","types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Datasets","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"References","relatedIdentifier":"10.1016/j.jcp.2015.03.012","resourceTypeGeneral":"JournalArticle","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["23 files","14 MB"],"formats":["image/jpeg","application/pdf"],"version":"1.0","rightsList":[{"rights":"Creative Commons Attribution Non Commercial No Derivatives 3.0 Unported","rightsUri":"https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-nc-nd-3.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"\u0026lt;p\u0026gt;We present a generalized form of open boundary conditions, and an associated numerical algorithm, for simulating incompressible flows involving open or outflow boundaries. The generalized form represents a family of open boundary conditions, which all ensure the energy stability of the system, even in situations where \u0026amp;nbsp;strong vortices or backflows occur at the open/outflow boundaries. Our numerical algorithm for treating these open boundary conditions is based on a rotational pressure correction-type strategy, with a formulation suitable for \u0026amp;nbsp;$C^0$ spectral-element spatial discretizations. We have introduced a discrete equation and associated boundary conditions for an auxiliary variable. The algorithm contains constructions that prevent a numerical locking at the open/outflow boundary. In addition, we have also developed a scheme with a provable unconditional stability for a sub-class of the open boundary conditions. Extensive numerical experiments have been presented to demonstrate the performance of our method for several flow problems involving open/outflow boundaries. We compare simulation results with the experimental data to demonstrate the accuracy of our algorithm. Long-time simulations have been performed for a range of Reynolds numbers at which strong vortices or backflows occur at the open/outflow boundaries. We show that the open boundary conditions and the numerical algorithm developed herein produce stable simulations in such situations.\u0026lt;/p\u0026gt;\n\n\u0026lt;p\u0026gt;\u0026amp;nbsp;\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"We present a family of energy-stable open boundary conditions and an associated numerical algorithm for incompressible flow simulations. These open boundary conditions all ensure the energy stability of the system.","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[{"awardTitle":"Joint Diagonalization-Based Spectral Element 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