Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas

Wang Jinhuan; Nie Yongbin

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Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas

机译：Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas

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In this paper, we study the isentropic Euler equations with the flux perturbation for van der Waals gas, in which the density has both lower and upper bounds due to the introduction of the flux approximation and the molecular excluded volume. First, we solve the Riemann problem of this system and construct the Riemann solutions. Second, the formation mechanisms of delta shocks and vacuums are analyzed for the Riemann solutions as the pressure, the flux approximation, and the molecular excluded volume all vanish. Finally, some numerical simulations are demonstrated to verify the theoretical analysis.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第34期|4215058.1-4215058.11|共11页
作者
Wang Jinhuan; Nie Yongbin;
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作者单位

Tangshan Normal Univ, Dept Math & Informat, Tangshan 063000, Peoples R China;

Beijing Aerosp Unmanned Vehicles Syst Engn Res In, Beijing 100094, Peoples R China;

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Delta Shocks and Vacuums to the Isentropic Euler Equations with the Flux Perturbation for van der Waals Gas

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