Please use this identifier to cite or link to this item:
DC FieldValue
dc.titleImmersed Hybridizable Discontinuous Galerkin Method for Multi-Viscosity Incompressible Navier-Stokes Flows on Irregular Domains
dc.contributor.authorHUYNH LE NGOC THANH
dc.identifier.citationHUYNH LE NGOC THANH (2010-12-20). Immersed Hybridizable Discontinuous Galerkin Method for Multi-Viscosity Incompressible Navier-Stokes Flows on Irregular Domains. ScholarBank@NUS Repository.
dc.description.abstractWe present the immersed FFT-based hybridizable discontinuous Galerkin method for solving PDEs with non-smooth solutions on complex geometries including interfaces. We impose jump conditions on the weak formulation of the HDG method to capture discontinuities in the solutions. The solutions near curved interfaces fail to converge optimally due to inappropriate approximation of physical domains bounded by curved boundaries. We employ super-parametric elements in areas connected to high-curvature boundaries to retain optimal convergence rates. We develop a fast solver which is a combination of the FFT and the GMRES for solving linear PDEs. The computation cost is almost linearly proportional to the total number of unknowns in the global system. Finally, we extend the fast solver for solving non-linear incompressible Navier-Stokes equations using the semi-implicit integration in which the influence of the CFL condition on the size of the time step is significantly reduced.
dc.subjectHybridizable discontinuous Galerkin, immersed interface, Navier-Stokes, curved boundary, fast Fourier transform, arbitrary Lagrangian Eulerian
dc.contributor.departmentSINGAPORE-MIT ALLIANCE
dc.contributor.supervisorKHOO BOO CHEONG
dc.contributor.supervisorJAIME PERAIRE
dc.description.degreeconferredDOCTOR OF PHILOSOPHY
Appears in Collections:Ph.D Theses (Open)

Show simple item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
HuynhLNT.pdf6.61 MBAdobe PDF



Page view(s)

checked on Jun 14, 2019


checked on Jun 14, 2019

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.