{"data":{"id":"10.4231/r7rb72jk","type":"dois","attributes":{"doi":"10.4231/r7rb72jk","prefix":"10.4231","suffix":"r7rb72jk","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":"Outflow Boundary Condition and Algorithm for Single-Phase Incompressible Flows"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"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":"incompressible flow"},{"subject":"outflow"},{"subject":"backflow"},{"subject":"CFD"},{"subject":"Physics"}],"contributors":[],"dates":[{"date":"2014-06-16","dateType":"Available"},{"date":"2014-06-16","dateType":"Submitted"},{"date":"2014-06-19","dateType":"Accepted"},{"date":"2014","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.2013.12.042","resourceTypeGeneral":"JournalArticle","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["29 files","14 MB"],"formats":["image/jpeg","application/pdf"],"version":"1.0","rightsList":[{"rights":"Creative Commons Attribution Non Commercial 3.0 Unported","rightsUri":"https://creativecommons.org/licenses/by-nc/3.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-nc-3.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"\u0026lt;p\u0026gt;We present a robust and accurate outflow boundary condition\u0026amp;nbsp;and an associated numerical algorithm\u0026amp;nbsp;for incompressible flow simulations on\u0026amp;nbsp;unbounded physical domains, aiming at\u0026amp;nbsp;maximizing the domain truncation\u0026amp;nbsp;without adversely affecting\u0026amp;nbsp;the flow physics.\u0026amp;nbsp;The proposed outflow boundary condition allows\u0026amp;nbsp;for the influx of kinetic energy\u0026amp;nbsp;into the domain through the outflow\u0026amp;nbsp; boundaries,\u0026amp;nbsp;and prevents un-controlled growth in the\u0026amp;nbsp;energy of the\u0026amp;nbsp;domain in such situations. The\u0026amp;nbsp;numerical algorithm for the outflow boundary\u0026amp;nbsp;condition is developed\u0026amp;nbsp;on top of a rotational velocity-correction type\u0026amp;nbsp;strategy to de-couple the pressure and velocity\u0026amp;nbsp;computations,\u0026amp;nbsp;and a special construction in the algorithmic formulation\u0026amp;nbsp;prevents the numerical locking\u0026amp;nbsp;at the outflow boundaries for time-dependent problems.\u0026amp;nbsp;Extensive numerical tests for flow problems with bounded and\u0026amp;nbsp;semi-bounded physical domains\u0026amp;nbsp;demonstrate that\u0026amp;nbsp;this outflow boundary condition and the numerical\u0026amp;nbsp;algorithm produce stable and accurate simulations \u0026amp;nbsp;on even severely truncated computational\u0026amp;nbsp;domains,\u0026amp;nbsp;where strong vortices may be present at or exit\u0026amp;nbsp;the outflow boundaries. The method developed herein has the potential to\u0026amp;nbsp;significantly expedite simulations of incompressible\u0026amp;nbsp;flows involving outflow or open boundaries,\u0026amp;nbsp;and to enable such simulations at Reynolds numbers significantly higher\u0026amp;nbsp;than the state of the art.\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"We present an accurate and effective outflow boundary condition and numerical algorithm for achieving stability in the presence of strong vortices or backflows at the outflow boundaries.","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[{"awardTitle":"Joint Diagonalization-Based Spectral Element 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