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A Rapid Method for Modeling a Variable Cycle Engine
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Central upwind scheme for a compressible two-phase flow model.

Munshoor Ahmed1, M Rehan Saleem1, Saqib Zia1

  • 1Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan.

Plos One
|June 4, 2015
PubMed
Summary
This summary is machine-generated.

A new central upwind scheme accurately simulates compressible two-phase flow. This numerical method for the reduced five-equation model provides results comparable to established kinetic flux-vector splitting (KFVS) schemes.

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Area of Science:

  • Computational Fluid Dynamics
  • Multiphase Flow Physics

Background:

  • Numerical investigation of compressible two-phase flow models is crucial for various engineering applications.
  • The non-conservative reduced five-equation model presents unique challenges for accurate simulation.

Purpose of the Study:

  • To numerically investigate a compressible two-phase reduced five-equation flow model.
  • To implement and evaluate a high-resolution central upwind scheme for this model.

Main Methods:

  • A non-conservative reduced five-equation model was employed, including mass, momentum, and energy conservation equations.
  • A high-resolution central upwind finite volume scheme was implemented, noted for being non-oscillatory and not requiring a Riemann solver.
  • The model was also solved using kinetic flux-vector splitting (KFVS) and staggered central schemes for validation.

Main Results:

  • The central upwind scheme demonstrated effective numerical approximation of the two-phase flow model.
  • Results obtained from the central upwind scheme were found to be comparable to those from the kinetic flux-vector splitting (KFVS) scheme.
  • Several numerical case studies of two-phase flows were successfully presented.

Conclusions:

  • The developed central upwind scheme is a viable and accurate method for simulating compressible two-phase flows.
  • The scheme offers a competitive alternative to existing methods like KFVS for this class of problems.