Consider the 1D advection problem of a scalar with constant velocity :
Fig.1 compares the convergence (norm 2 of the difference between the numerical and exact solution) of Discontinuous Galerkin Method and Finite Difference for the problem above.
Fig.1: Convergence of Discontinuos Galerkin Method (DG) and Finite difference (FD) for a 1D advection problem.
About Alexandre Fabregat Tomàs
As a postdoctoral fellow at City University of New York, I am interested in everything related with the numerical simulation of heat and mass transport in turbulent flows.
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