Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model

Pradhan, Pabitra Kumar; Zeidan, Dia; Pandey, Manoj

doi:10.1016/j.jmaa.2022.126912

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The Cargo-leroux Model1

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2023

2024

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Cited by 9 publications

(1 citation statement)

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“…Recent studies on this model include [7,10,17]. The main objective of this paper is to resolve the system numerically by incorporating a van der Waals gas pressure equation of state [15], written as…”

Section: The Cargo-leroux Modelmentioning

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: The Cargo-leroux Modelmentioning

confidence: 99%

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

Ahmed

2024

VFAST trans. math.

View full text Add to dashboard Cite

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Lie symmetry analysis for the Cargo–Leroux model with isentropic perturbation pressure equation of state

Karna,

Satapathy

2023

Chaos, Solitons & Fractals

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Lie group of similarity analysis of shock waves in viscous flow under magnetic field

Patel,

Garg

2024

Chinese Journal of Physics

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Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model

Cited by 9 publications

References 34 publications

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

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

Lie symmetry analysis for the Cargo–Leroux model with isentropic perturbation pressure equation of state

Lie group of similarity analysis of shock waves in viscous flow under magnetic field

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