Solution of the Riemann Problem in magnetogasdynamics

Singh, Randheer; Singh, L. P.

doi:10.1016/j.ijnonlinmec.2014.10.004

Cited by 21 publications

(3 citation statements)

References 18 publications

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“…So we obtain (1). Using the Rankine-Hugoniot conditions (11) for ← − S κ and − → S κ and Lemma 3.1, we have…”

Section: Jianjun Chen and Wancheng Shengmentioning

confidence: 99%

“…Since the full governing system for magnetogasdynamics is highly nonlinear and more complicated, it is necessary to study the various simplified models. One of the simplified model is the assumption that the flow wherein magnetic and velocity fields are orthogonal everywhere, such as in [5,10,11,12]. In the present paper, we consider the system of equations which governs the one dimensional unsteady simple flow of an isentropic, inviscid and perfectly conducting compressible fluid, subject to a transverse magnetic field, can be written as the following conservation laws    ρ t + (ρu) x = 0,…”

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confidence: 99%

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The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas

Chen¹,

Sheng²

2018

Communications on Pure &Amp; Applied Analysis

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This paper is concerned with the Euler equations in the magnetogasdynamics for generalized Chaplygin gas. The global solutions to the Riemann problems of the Euler equations in the magnetogasdynamics for generalized Chaplygin gas are obtained constructively by using phase plane analysis method. The formation of delta shock wave is studied as magnetic field vanishes. The limit behaviors of the Riemann solutions as magnetic field vanishes are also obtained.

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“…So we obtain (1). Using the Rankine-Hugoniot conditions (11) for ← − S κ and − → S κ and Lemma 3.1, we have…”

Section: Jianjun Chen and Wancheng Shengmentioning

confidence: 99%

mentioning

confidence: 99%

The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas

Chen¹,

Sheng²

2018

Communications on Pure &Amp; Applied Analysis

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“…We are interested in the two-phase flow of a gas and dust mixture in this paper. Dusty gas is a gas-solid particle mixture in which the solid particles account for less than 5% of the total volume [4]. These solid particles are termed pseudo fluids if the velocity of the gas is sufficiently high.…”

Section: Introductionmentioning

confidence: 99%

Simulating the dusty gas flow model via NHRS scheme

Mohamed

Omar

Abdelrahman

2023

Math Methods in App Sciences

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We introduce some vital solutions for the dusty gas flow. Specifically, we implement the nonhomogeneous Riemann solver (NHRS) scheme in order to investigate the unsteady planar flow of an isentropic, inviscid compressible fluid in the presence of dust particles. The principle of conservation of mass, momentum, and energy governs the dynamical behavior of a fluid. The Rusanov scheme is also implemented to examine the dusty gas flow model for comparison and validation. One of the important characteristics of the NHRS technique is its capability to compute the numerical flux corresponding to the real states of solution in the absence of a Riemann solution. The numerical results exhibit that the NHRS system outperforms the Rusanov scheme and validates the ability to simulate the dusty gas flow model with strong shocks and rarefaction waves accurately. Finally, more sophisticated models in applied science can be solved using the NHRS scheme.

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