A Statically Condensed Discontinuous Galerkin Spectral Element Methodon Gauss-Lobatto Nodes for the Compressible Navier-Stokes Equations

Andres Rueda, Eusebio Valero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer
2019 Zenodo  
We present a static-condensation method for time-implicit discretizations of the Discontinuous GalerkinSpectral Element Method on Gauss-Lobatto points (GL-DGSEM). We show that, when solving the com-pressible Navier-Stokes equations, it is possible to reorganize the linear system that results from the implicittime-integration of the GL-DGSEM as a Schur complement problem, which can be efficiently solved usingstatic condensation. The use of static condensation reduces the linear system size and
more » ... proves the condi-tion number of the system matrix, which translates into shorter computational times when using direct anditerative solvers
doi:10.5281/zenodo.3760709 fatcat:xl4d74hpwnd4lmkhhn3v7vt77u