Numerical simulation of axisymmetric supersonic viscous flow over a blunt cone with a diagonal fourth-order finite difference method

RASHIDI, M. M., MORADI BASTANI, M. and BEG, Osman (2012). Numerical simulation of axisymmetric supersonic viscous flow over a blunt cone with a diagonal fourth-order finite difference method. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 226 (3), 310-326.

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Abstract

The numerical solution of steady viscous supersonic axisymmetric flowfield modelled by thin-layer Navier–Stokes equations is computed over a blunt cone with the shock-fitting method and the diagonal fourth-order central difference scheme implemented. Owing to the presence of high-order terms of the Taylor series in the discretization of derivatives, this method has high accuracy and low numerical error (dispersion error) compared with low-order methods. The boundary-closure scheme plays an important role in the numerical stability of this method. Using a coarse grid in this method, the results of numerical solution are found to be very close to those obtained with a fine grid employing the implicit second-order (Beam–Warming) method. Higher accuracy of this method is identified relative to the second-order method when the grid is being refined. The convergence rate of this method is also higher than the second-order method. Furthermore, the convergence of the method can be adjusted to accommodate the computational hardware capabilities.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1177/0954410011408303
Depositing User:	Helen Garner
Date Deposited:	14 Nov 2011 13:48
Last Modified:	13 Mar 2013 12:14
URI:	http://shura.shu.ac.uk/id/eprint/4060

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