Trends in Computational and Applied Mathematics (Jun 2008)

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

  • R.A.B. Queiroz,
  • V.G. Ferreira,
  • R.G. Cuenca

DOI
https://doi.org/10.5540/tema.2008.09.02.0311
Journal volume & issue
Vol. 9, no. 2

Abstract

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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.