Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme

To increase numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is used and the arbitrary high-order DG-ADER method is applied to analyze the transient isothermal flow of natural gas through pipelines. The problem is investigated one dimensionally. and the effect of friction force between the pipe wall and fluid flow is considered as a source term on the right-hand side of the momentum equation. Therefore, the governing equations have a hyperbolic nature. Two real problems with associated field data are simulated using this method. The results show that highly accurate results can be obtained using the DG-ADER method, even on a coarse grid. Furthermore, the conventional small-amplitude oscillations of DG-ADER method do not appear in the transient natural gas flow due to the smoothness of the flow field properties.