Speed-up of a DFEM code for unsteady gas dynamics in pipes One-dimensional simulation codes are still widely used for modelling unsteady flows in intake and exhaust pipes of internal combustion engines. The discontinuous finite element method (DFEM) shows some advantages with respect to finite difference schemes particularly when dealing with non-uniform grids or mixed one-dimensional/multi-dimensional models. Its main drawback is the quite high computational effort required. Here a way is proposed to efficiently implement and speed up a DFEM algorithm mainly through approximate matrix inversion and optimization of the CFL convergence parameter. We also discuss an implementation of simple boundary conditions for ducts. Finally, we present results on well-known test cases.
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