DC FieldValueLanguage
dc.contributor.authorDumbser, Michael-
dc.contributor.authorIske, Armin-
dc.contributor.authorRung, Thomas-
dc.date.accessioned2019-10-30T08:47:39Z-
dc.date.available2019-10-30T08:47:39Z-
dc.date.issued2017-04-08-
dc.identifier.citationLecture Notes in Computational Science and Engineering (115): 35-52 (2017)de_DE
dc.identifier.isbn978-3-319-51953-1de_DE
dc.identifier.issn2197-7100de_DE
dc.identifier.urihttp://hdl.handle.net/11420/3675-
dc.description.abstractThis work concerns the development of a meshfree semi-implicit numerical scheme based on the Smoothed Particle Hydrodynamics (SPH) method, here applied to free surface hydrodynamic problems governed by the shallow water equations. In explicit numerical methods, a severe limitation on the time step is often due to stability restrictions imposed by the CFL condition. In contrast to this, we propose a semi-implicit SPH scheme, which leads to an unconditionally stable method. To this end, the discrete momentum equation is substituted into the discrete continuity equation to obtain a linear system of equations for only one scalar unknown, the free surface elevation. The resulting system is not only sparse but moreover symmetric positive definite. We solve this linear system by a matrix-free conjugate gradient method. Once the new free surface location is known, the velocity can directly be computed at the next time step and, moreover, the particle positions can subsequently be updated. The resulting meshfree semiimplicit SPH method is validated by using a standard model problem for the shallow water equations.en
dc.language.isoende_DE
dc.publisherSpringer International Publishingde_DE
dc.subject.ddc600: Technikde_DE
dc.typeinProceedingsde_DE
dc.type.dinicontributionToPeriodical-
dc.subject.ddccode600-
dcterms.DCMITypeText-
tuhh.abstract.englishThis work concerns the development of a meshfree semi-implicit numerical scheme based on the Smoothed Particle Hydrodynamics (SPH) method, here applied to free surface hydrodynamic problems governed by the shallow water equations. In explicit numerical methods, a severe limitation on the time step is often due to stability restrictions imposed by the CFL condition. In contrast to this, we propose a semi-implicit SPH scheme, which leads to an unconditionally stable method. To this end, the discrete momentum equation is substituted into the discrete continuity equation to obtain a linear system of equations for only one scalar unknown, the free surface elevation. The resulting system is not only sparse but moreover symmetric positive definite. We solve this linear system by a matrix-free conjugate gradient method. Once the new free surface location is known, the velocity can directly be computed at the next time step and, moreover, the particle positions can subsequently be updated. The resulting meshfree semiimplicit SPH method is validated by using a standard model problem for the shallow water equations.de_DE
tuhh.publisher.doi10.1007/978-3-319-51954-8_3-
tuhh.publication.instituteFluiddynamik und Schiffstheorie M-8de_DE
tuhh.type.opusInProceedings (Aufsatz / Paper einer Konferenz etc.)-
tuhh.institute.germanFluiddynamik und Schiffstheorie M-8de
tuhh.institute.englishFluiddynamik und Schiffstheorie M-8de_DE
tuhh.gvk.hasppnfalse-
dc.type.drivercontributionToPeriodical-
dc.type.casraiConference Paper-
tuhh.container.startpage35de_DE
tuhh.container.endpage52de_DE
dc.relation.conference8th International Workshop on Meshfree Methods for Partial Differential Equations, 2015de_DE
tuhh.relation.ispartofseriesLecture notes in computational science and engineeringde_DE
tuhh.relation.ispartofseriesnumber115 LNCSEde_DE
dc.identifier.scopus2-s2.0-85018670114-
local.status.inpressfalsede_DE
datacite.resourceTypeConference Paper-
datacite.resourceTypeGeneralText-
item.seriesrefLecture notes in computational science and engineering;115 LNCSE-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairetypeinProceedings-
item.creatorOrcidDumbser, Michael-
item.creatorOrcidIske, Armin-
item.creatorOrcidRung, Thomas-
item.languageiso639-1en-
item.creatorGNDDumbser, Michael-
item.creatorGNDIske, Armin-
item.creatorGNDRung, Thomas-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_5794-
item.tuhhseriesidLecture notes in computational science and engineering-
item.mappedtypeinProceedings-
crisitem.author.deptFluiddynamik und Schiffstheorie M-8-
crisitem.author.orcid0000-0002-8201-8372-
crisitem.author.orcid0000-0002-3454-1804-
crisitem.author.parentorgStudiendekanat Maschinenbau-
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