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Concentration and cavitation for the modified Chaplygin two-phase flow model at the vanishing pressure limit

Author

Listed:
  • Shen, Chun
  • Sun, Meina
  • Wei, Zhijian

Abstract

Creation of delta shock and vacuum in Riemann solutions under the pressureless circumstance is derived from the corresponding ones from the modified Chaplygin flow model in the content of liquid-gas two-phase flow by sending the two perturbed parameters go to zero in the pressure simultaneously. The associated concentration and cavitation effects can be carefully observed and analyzed at such limiting procedure. It should be stressed that there exist three possible occurring scenarios about the vacuum formation by taking into account the virtual velocity within vacuum region due to the different convergence rates of the two perturbed parameters.

Suggested Citation

  • Shen, Chun & Sun, Meina & Wei, Zhijian, 2025. "Concentration and cavitation for the modified Chaplygin two-phase flow model at the vanishing pressure limit," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925013566
    DOI: 10.1016/j.chaos.2025.117343
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    References listed on IDEAS

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    1. Sharma, Deepika & Singh, Randheer, 2025. "Interaction of an acceleration wave with a characteristic shock in two-phase real modified Chaplygin model containing a variable source term," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 230(C), pages 53-67.
    2. Shah, Sarswati & Singh, Randheer & Jena, Jasobanta, 2022. "Steepened wave in two-phase Chaplygin flows comprising a source term," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    3. Minhajul, & Zeidan, D. & Raja Sekhar, T., 2018. "On the wave interactions in the drift-flux equations of two-phase flows," Applied Mathematics and Computation, Elsevier, vol. 327(C), pages 117-131.
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