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C. Biotto, A. Proverbio, O. Ajewole, N. P. Waterson and J. Peiró On the treatment of transient area variation in 1D discontinuous Galerkin simulations of train-induced pressure waves in tunnels International Journal for Numerical Methods in Fluids 71

Version of Record online: 14 FEB 2012 | DOI: 10.1002/fld.3651

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To simulate the pressure wave generated by a train travelling through a tunnel, we implement a discontinuous Galerkin (DG) method for the solution of the one-dimensional equations of variable area flow. This formulation uses a spatial discretisation via Legendre polynomials of arbitrary degree, and the resulting semi-discrete system is integrated using an explicit Runge–Kutta scheme.

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