A review and comparative study of upwind biased schemes for compressible flow computation. Part II: 1-D higher-order schemes

• Autores: P.R.M. Lyra, K. Morgan
• Localización: Archives of computational methods in engineering: state of the art reviews, ISSN 1134-3060, Vol. 7, Nº. 3, 2000, págs. 333-377
• Idioma: inglés
• DOI: 10.1007/bf02736212
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• Resumen

  • Higher-order upwind biased procedures for solving the equations of 1-D compressible unsteady flow are surveyed. Approaches based upon the use of either switched artificial viscosity, flux-limiting or slopelimiting are considered and described within a unified framework. The approaches are implemented within the context of an edge-based finite element solution algorithm, which represents the basis for a future multi-dimensional extension on general grids. The performance of the different approaches is illustrated by application to the solution of the shock tube problem in different flow regimes