Abstract
We present a front tracking technique for conservation laws in one dimension. The method is based on approximations to the solution of Riemann problems where the solution is represented by piecewise constant states separated by discontinuities. The discontinuities are tracked until they interact, at this point a new Riemann problem is solved and so on. No finite differences are used. This method is tested on the system of nonstationary gas dynamics defined by the Euler equations, and three test cases are presented.
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