A New High Resolution TVD Scheme for Unsteady Flows with Shock Waves

In this work, a new high resolution TVD scheme for unsteady flows with shock waves is presented. The performance of the scheme is investigated for solving Burgers and Euler’s equations. In particular, 1D shock tubes, 1D inviscid turbulence (Burgers equation) and 2D supersonic/transonic flows are simulated.The numerical results show good agreement with numerical and experimental data.

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