Show simple item record

dc.contributor.advisorShukla, R K
dc.contributor.authorPathak, Harshavardhana Sunil
dc.date.accessioned2018-03-19T06:15:22Z
dc.date.accessioned2018-07-31T05:47:56Z
dc.date.available2018-03-19T06:15:22Z
dc.date.available2018-07-31T05:47:56Z
dc.date.issued2018-03-19
dc.date.submitted2013
dc.identifier.urihttp://etd.iisc.ac.in/handle/2005/3281
dc.identifier.abstracthttp://etd.iisc.ac.in/static/etd/abstracts/4143/G25604-Abs.pdfen_US
dc.description.abstractAn adaptive mesh redistribution method for efficient and accurate simulation of multi dimensional hyperbolic conservation laws is developed. The algorithm consists of two coupled steps; evolution of the governing PDE followed by a redistribution of the computational nodes. The second step, i.e. mesh redistribution is carried out at each time step iteratively with the primary aim of adapting the grid to the computed solution in order to maximize accuracy while minimizing the computational overheads. The governing hyperbolic conservation laws, originally defined on the physical domain, are transformed on to a simplified computational domain where the position of the nodes remains independent of time. The transformed governing hyperbolic equations are recast in a strong conservative form and are solved directly on the computational domain without the need for interpolation that is typically associated with standard mesh redistribution algorithms. Several standard test cases involving numerical solution of scalar and system of hyperbolic conservation laws in one and two dimensions are presented in order to demonstrate the accuracy and computational efficiency of the proposed technique.en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesG25604en_US
dc.subjectAdaptive Mesh Redistributionen_US
dc.subjectMultigrid Methodsen_US
dc.subjectHyperbolic Conservation Lawsen_US
dc.subjectNumerical Grid Generationen_US
dc.subjectNumerical Mesh Generationen_US
dc.subjectMesh Partial Differential Equationen_US
dc.subjectAdaptive Mesh Redistriution Methoden_US
dc.subjectAdaptive Mesh Redistribution Algorithmsen_US
dc.subjectComputational Fluid Dynamicsen_US
dc.subjectMesh Redistribution Algorithmsen_US
dc.subjectMesh Adaptationen_US
dc.subjectInviscid Burger's Equationen_US
dc.subjectEuler's Equationsen_US
dc.subject.classificationFluid Dynamicsen_US
dc.titleAdaptive Mesh Redistribution for Hyperbolic Conservation Lawsen_US
dc.typeThesisen_US
dc.degree.nameMSc Enggen_US
dc.degree.levelMastersen_US
dc.degree.disciplineFaculty of Engineeringen_US


Files in this item

This item appears in the following Collection(s)

Show simple item record