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HI-FI Hybridisable Discontinuous Galerkin method for incompressible flows

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hdl:2117/106634

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Vila Pérez, JordiMés informacióMés informació
Tutor / directorHuerta, AntonioMés informacióMés informacióMés informació
Document typeMaster thesis
Date2017-07
Rights accessOpen Access
Attribution-NonCommercial-ShareAlike 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-ShareAlike 3.0 Spain
Abstract
The increasing interest in high-order discretization techniques for CFD applications is motivated by the high accuracy that these methods provide compared to low-order methods. In this project, the hybridizable discontinuous Galerkin (HDG) method is discussed. HDG represents a novel and competitive alternative to the classical discontinuous Galerkin method by substantially reducing the number of coupled unknowns of the discrete problem. Some numerical examples for the simulation of steady incompressible flows are presented, with special emphasis on the HDG stabilization term in order to ensure the optimal convergence of velocity, pressure and gradient of velocity and the superconvergence of a postprocessed velocity field.
SubjectsFluid dynamics (Mathematics), Dinàmica de fluids
DegreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)
URIhttp://hdl.handle.net/2117/106634
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  • Màsters oficials - Master of Science in Advanced Mathematics and Mathematical Engineering (MAMME) [282]
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