An iterative method to obtain analytical-numerical approximation of the one-dimensional gas flow transport solution in conical ducts

In this paper, an analytica-numerical approximation of the one-dimensional gas flow Euler equations in conical ducts, is obtained by an iterative method based on the Cauchy-Kovalev-skaya theorem. This method has been applied in [1] for the constant ducts case. In this paper, the algorithm and the theoretical results are adapted and some examples for different types of ducts are presented.