Higher order line-based discontinuous galerkin method for compressible flows

Rohit K.S.S. Vuppala, Pramod K. Subbareddy

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We present a preliminary implementation of a Line-Based Discontinuous Nodal Galerkin discretization method (due to Persson, 2013) to solve the compressible Navier-Stokes equations. The scheme is based on applying the one-dimensional nodal discontinuous Galerkin (DG) method on lines in each coordinate direction (using hexahedral elements) instead of solving a three dimensional nodal discontinuous problem. The Line-DG method significantly increases the sparsity of the Jacobian matrices and reduces the nodal connectivity, enabling higher performance. The Minimal Dissipation LDG (MD-LDG) method is used to evaluate the viscous fluxes in the Navier Stokes equations. Some validation cases are presented.

Original languageEnglish (US)
Title of host publicationAIAA Aviation 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Number of pages10
ISBN (Print)9781624105890
StatePublished - 2019
Externally publishedYes
EventAIAA Aviation 2019 Forum - Dallas, United States
Duration: Jun 17 2019Jun 21 2019

Publication series

NameAIAA Aviation 2019 Forum


ConferenceAIAA Aviation 2019 Forum
Country/TerritoryUnited States


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