Laminar and Turbulent Simulations of Several TVD Schemes in Two-Dimensions—Part I—Results

  • E. S. G. MacielEmail author
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 307)


This work, first part of this study, describes five numerical tools to perform perfect gas simulations of the laminar and turbulent viscous flow in two-dimensions. The Van Leer, Harten, Frink, Parikh and Pirzadeh, Liou and Steffen Jr. and Radespiel and Kroll schemes, in their first- and second-order versions, are implemented to accomplish the numerical simulations. The Navier–Stokes equations, on a finite volume context and employing structured spatial discretization, are applied to solve the supersonic flow along a ramp in two-dimensions. Three turbulence models are applied to close the system, namely: Cebeci and Smith, Baldwin and Lomax and Sparlat and Allmaras. The convergence process is accelerated to the steady state condition through a spatially variable time step procedure. The results have shown that, with the exception of the Harten scheme, all other schemes have yielded the best result in terms of the prediction of the shock angle at the ramp.


Laminar and turbulent flows TVD algorithms Cebeci and Smith turbulence model Baldwin and Lomax turbulence model Sparlat and Allmaras turbulence model 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Energy EngineeringFoundation University of Great DouradosDouradosBrazil

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