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PVU and wave-particle splitting schemes for Euler equations of gas dynamics

Deshpande, SM and Balakrishnan, N and Rao, Raghurama SV (1994) PVU and wave-particle splitting schemes for Euler equations of gas dynamics. In: Sadhana : Academy Proceedings in Engineering Sciences, 19 (part 6). pp. 1027-1054.

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Abstract

A new way of flux-splitting, termed as the wave-particle splitting is presented for developing upwind methods for solving Euler equations of gas dynamics. Based on this splitting, two new upwind methods termed as Acoustic Flux Vector Splitting (AFVS) and Acoustic Flux Difference Splitting (AFDS) methods are developed. A new Boltzmann scheme, which closely resembles the wave-particle splitting, is developed using the kinetic theory of gases. This method, termed as Peculiar Velocity based Upwind (PVU) method, uses the concept of peculiar velocity for upwinding. A special feature of all these methods that the unidirectional and multidirectional parts of the flux vector are treated separately. Extensive computations done using these schemes demonstrate the soundness of the ideas.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Indian academy of sciences.
Keywords: Upwind methods for Euler equations;wave-particle splitting; Boltzmann schemes;peculiar velocity based upwinding.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 11 Apr 2011 04:10
Last Modified: 11 Apr 2011 04:10
URI: http://eprints.iisc.ernet.in/id/eprint/36711

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