Riemann problems for generalized gas dynamics

Kumar, Akshay; Radha, R.

doi:10.1111/sapm.12565

Stud Appl Math

2023

DOI: 10.1111/sapm.12565

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Riemann problems for generalized gas dynamics

Akshay Kumar

R. Radha

Abstract: In this paper, a few classes of exact solutions are obtained using the differential constraints method for generalized gas dynamics equations. The solutions to Riemann problems for two different kinds of initial data are determined with a complete characterization of the solutions through shock waves and/or rarefaction waves.

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2024

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Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids

Yadav,

Shukla

2024

Physics of Fluids

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We investigate the behavior of nonlinear waves in the Hall-magnetohydrodynamics model of non-ideal fluids with the van der Waals equation of state. It is shown that the Hall effect leads to the formation of a nonclassical shock wave that does not follow Oleinik's entropy condition and propagates as an undercompressive shock. The evolution of a rectangular pulse is discussed by solving a Riemann problem with initial data containing a pair of discontinuities. In particular, we provide a thorough discussion of interaction of various waves emerging from the discontinuities. It is observed that during this interaction, a nonclassical shock may transform into a classical sonic shock depending on the critical value of the Hall parameter. Furthermore, we analyze the effects of van der Waals parameters and the Hall parameter on various aspects of wave propagation, such as shock speed, shock strength, width of wave fan, and interaction time.

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Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids

Yadav,

Shukla

2024

Physics of Fluids

View full text Add to dashboard Cite

show abstract

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Riemann problems for generalized gas dynamics

Cited by 1 publication

References 25 publications

Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids

Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids

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