ISSN:
0271-2091
Keywords:
cell-vertex
;
finite volume
;
artificial viscosity
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
This paper is concerned with an investigation of artificial dissipation models that are used with the cell-vertex finite volume approximation of the compressible Euler and Navier-Stokes equations. Based on the observation that first and second-order upwind schemes can be written as a central discretization plus an appropriately scaled dissipative flux, a matrix scaling of second and fourth-differences is implemented in an artificial dissipation model that also uses a procedure to limit the applicability of shock-capturing dissipation. Analysis of the model and the associated boundary conditions is given to determine the effect on accuracy. Numerical results are given for transonic Euler flow past a NACA0012 aerofoil profile which demonstrate the improved shock-capturing capability of the model. Results for laminar subsonic viscous flow over a flat plate show that the matrix-dissipation model reduces the amount of spurious artificial dissipation within boundary layers.
Additional Material:
16 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650210605
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