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A Study of Solutions to Euler Equations for a One Dimensional Unsteady Flow

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dc.contributor.author Mutua, S. K.
dc.contributor.author Kimathi, M. E.
dc.contributor.author Kiogora, P. R.
dc.contributor.author Mutua, N. M.
dc.date.accessioned 2021-06-16T07:09:44Z
dc.date.available 2021-06-16T07:09:44Z
dc.date.issued 2013
dc.identifier.uri http://ir.ttu.ac.ke/xmlui/handle/123456789/47
dc.description.abstract In this paper we deal with the Euler equations for Isothermal gas. In analyzing the equations we obtain two real and distinct eigenvalues which enables us to determine the wave structure of the possible solutions to the Riemann problem set up. By considering the Rankine-Hugoniot condition we obtain the shock wave solution analytically. The rarefaction wave solution is determined analytically by considering the fact that rarefaction wave lies along integral curves. To obtain the numerical solution to the Riemann p roblem that we set up, we use a relaxation scheme to d iscretize the Euler equations for isothermal gas. Finally we present the simulation results of the numerical solutions, that is, the approximate shock and rarefaction wave solutions are shown, graphically, and explained. en_US
dc.language.iso en en_US
dc.publisher American Journal of Computational and Applied Mathematics en_US
dc.subject Isothermal Gas, Eigenvalues, Riemann Problem, Rankine-Hugonoit, Integral Curves, Relaxat ion Scheme en_US
dc.title A Study of Solutions to Euler Equations for a One Dimensional Unsteady Flow en_US
dc.type Article en_US

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