, Volume 19, Issue 6, pp 10271054
First online:
PVU and waveparticle splitting schemes for Euler equations of gas dynamics
 S M DeshpandeAffiliated withCFD Laboratory, Department of Aerospace Engineering, Indian Institute of Science
 , N BalakrishnanAffiliated withCFD Laboratory, Department of Aerospace Engineering, Indian Institute of Science
 , S V Raghurama RaoAffiliated withCFD Laboratory, Department of Aerospace Engineering, Indian Institute of Science
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A new way of fluxsplitting, termed as the waveparticle 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 waveparticle 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 is 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.
Keywords
Upwind methods for Euler equations waveparticle splitting Boltzmann schemes peculiar velocity based upwinding Title
 PVU and waveparticle splitting schemes for Euler equations of gas dynamics
 Journal

Sadhana
Volume 19, Issue 6 , pp 10271054
 Cover Date
 199412
 DOI
 10.1007/BF02743942
 Print ISSN
 02562499
 Online ISSN
 09737677
 Publisher
 Springer India
 Additional Links
 Topics
 Keywords

 Upwind methods for Euler equations
 waveparticle splitting
 Boltzmann schemes
 peculiar velocity based upwinding
 Industry Sectors
 Authors

 S M Deshpande ^{(1)}
 N Balakrishnan ^{(1)}
 S V Raghurama Rao ^{(1)}
 Author Affiliations

 1. CFD Laboratory, Department of Aerospace Engineering, Indian Institute of Science, 560 012, Bangalore, India