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A High-Resolution Procedure For Euler And Navier-Stokes Computations On Unstructured Grids

A finite-volume procedure, comprising a gradient-reconstruction technique and a multidimensional limiter, has been proposed for upwind algorithms on unstructured grids. The high-resolution strategy, with its inherent dependence on a wide computational stencil, does not suffer from a catastrophic loss of accuracy on a grid with poor connectivity as reported recently is the case with many unstructured-grid limiting procedures. The continuously-differentiable limiter is shown to be effective for strong discontinuities, even on a grid which is composed of highly-distorted triangles, without adversely affecting convergence to steady state. Numerical experiments involving transient computations of two-dimensional scalar convection to steady-state solutions of Euler and Navier-Stokes equations demonstrate the capabilities of the new procedure.

Identiferoai:union.ndltd.org:IISc/oai:etd.ncsi.iisc.ernet.in:2005/226
Date09 1900
CreatorsJawahar, P
ContributorsKamath, Hemant
PublisherIndian Institute of Science
Source SetsIndia Institute of Science
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis and Dissertation
Format27396032 bytes, application/pdf
RightsI grant Indian Institute of Science the right to archive and to make available my thesis or dissertation in whole or in part in all forms of media, now hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.

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