Higher Order Compact Explicit Jump Immersed Interface Methods for Incompressible Viscous Flows: Application and Development

dc.contributor.authorSinghal, Raghav
dc.date.accessioned2023-07-07T08:10:06Z
dc.date.accessioned2023-10-20T12:30:22Z
dc.date.available2023-07-07T08:10:06Z
dc.date.available2023-10-20T12:30:22Z
dc.date.issued2023
dc.descriptionSupervisor: Kalita, Jiten Chandraen_US
dc.description.abstract"This study is primarily focused on the development of explicit jump high-order compact finite difference immersed interface approaches for the purpose of solving incompressible viscous flows that are governed by the Navier-Stokes (N-S) equation on uniform and non-uniform grids on a Cartesian mesh. In all, three basic schemes have been developed in the process: one for elliptic problems and the steady state of N-S equations with discontinuities in the solutions, source terms, and coefficients across the interface; the next one is the transient counterpart of the previously developed one uniform grids; and lastly, a discrete level-set approach on non-uniform grids with complex interfaces. The overall accuracy of the scheme is four in space and two in time. Throughout the whole physical domain, a nine-point compact stencil is maintained by incorporating the jump conditions into the right-hand side of the matrix equation Ax = b resulting from discretization of the concerned equations. We use the streamfunction- vorticity ( - ) formulation of the N-S equation, and the jump conditions for and at the irregular point across the interface are taken into account by using a new method based on Lagrangian interpolation.en_US
dc.identifier.otherROLL NO.186123012
dc.identifier.urihttps://gyan.iitg.ac.in/handle/123456789/2425
dc.language.isoenen_US
dc.relation.ispartofseriesTH-3125;
dc.subjectMATHEMATICSen_US
dc.titleHigher Order Compact Explicit Jump Immersed Interface Methods for Incompressible Viscous Flows: Application and Developmenten_US
dc.typeThesisen_US
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