A RIEMANN SOLVER WITH ARITHMETIC AVERAGING FOR ONE-DIMENSIONAL PROBLEM IN DUSTY GAS

In this paper, we use the Riemann problem for a quasilinear hyperbolic system of equations for unsteady flow of an ideal gas with dust particles in one-dimensional regime. We have applied the various arithmetic procedures on flux variables. Three waves structure with characteristic speed as eigenvalues of Jacobian matrix obtained from the system of equations is studied. Here, some cases discussed and using symbols obtained after using the arithmetic averaging to the vector of conservative variable and flux function and analyzed the behaviour of eigenvectors in dusty gas.