High accuracy scheme for solving nonlinear aeroacoustics problems on unstructured meshes

The paper represents a multi-parameter family of higher accuracy (up to the 6th order) schemes for solving 1D linear transport equation. The schemes are constructed on the base of central-difference approximation of space derivatives with adding the upwinding dissipation and the linear Runge-Kutta method of arbitrarily high order of accuracy for the time integration. A detailed analysis of computational errors and an example of test computation are given.