The Riemann problem for the one-dimensional compressible flow of a van der Waals gas

Pang, Yicheng; Hu, Mingyou

doi:10.1007/s00033-019-1177-0

Cited by 5 publications

(2 citation statements)

References 19 publications

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“…The first detailed discussion on the solution to Riemann problems related to gas dynamics, saint vienent system, and blood flow model was established by Toro et al [30] ]. A slightly different approach of changing state variables for finding the Riemann solution was then introduced by Pang et al [16]. Further developments include the solution to hyperbolic conservation laws with non-conservative terms such as ( shallow water models, horizontal temperature gradient, and pressure gradient terms, etc see in [2,23,29].…”

Section: Introductionmentioning

confidence: 99%

New Results for Riemann Solution of the Cargo-LeRoux Model by the Application of Flux-Limiter Schemes

Ahmed

2024

VFAST trans. math.

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The Rienamm solution of the Cargo-LeRoux model has been recently introduced in [1] in which authors have found the exact solutions to the initial value problem. This work is the first attempt to apply numerical methods for the Cargo-LeRoux model. The higher-order flux limiter method applied in this paper holds the total variation diminishing property and gives smooth solutions in steep gradient regions. Various limiter functions that lead to different accuracy in numerical results are tested for the Riemann problem. The numerical investigations presented in this work can be used to review limiter-based TVD schemes extensively and to construct a class of highly efficient finite volume/ finite difference methods for such models.

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Section: Introductionmentioning

confidence: 99%

New Results for Riemann Solution of the Cargo-LeRoux Model by the Application of Flux-Limiter Schemes

Ahmed

2024

VFAST trans. math.

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“…where S is the specific entropy and 𝛾(> 1) and b(> 0) are constants representing ratio of specific heats and the van der Waals excluded volume, respectively (see earlier studies [29][30][31][32] ). The gas under consideration, given by equation of state (2), can be treated as a perfect gas adulterated by dusty particles (see Steiner and Hirschler 33 ).…”

Section: Introductionmentioning

confidence: 99%

Three pieces Riemann problem for 2‐D full Euler system in the Noble–Abel gas

Srivastava

Zafar

2022

Math Methods in App Sciences

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We present Riemann problem governed by 2-D full Euler system in the Noble-Abel gas. Riemann data, consisting three constants, are distributed in three distinct regions with an assumption that two adjoining regions can be connected by only one planar elementary wave. We present criteria for existence of different configurations of elementary waves for isentropic, as well as full, Euler system. We also discuss the effect of the Noble-Abel gas and the angle of regions on elementary waves and corresponding stream curves.

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