A mass‐fraction‐based interface‐capturing method for multi‐component flow. (27th May 2013)

• Record Type: Journal Article
• Authors: Wu, Z. D.; Sun, L.; Zong, Z.
• Is Part Of: International journal for numerical methods in fluids. Volume 73:Number 1(2013:Sep.)
• Page Start: 74
• Page End: 102
• Publication Date: 2013-05-27
• Subjects: interface capturing -- multi‐component -- Riemann problem -- mass fraction -- piecewise equation of state; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.3805
• Languages: English
• ISSNs: 0271-2091

Abstract

SUMMARY: An interface‐capturing method based on mass fraction is developed to solve the Riemann problem in multi‐component compressible flow. Equations of mass fraction with modified form, which is derived from conservative equations of mass, are employed here to capture the interface. By introducing mass fraction into Euler equations system, as well as other conservative coefficients, a quasi‐conservative numerical model is created. Numerical examples show that the mass fraction model performs well not only in multi‐component fluids modeled by simple stiffened gas equation of state (EOS) but also in that modeled by complex Mie–Grüneisen EOS. Moreover, the mass fraction model is applied to Riemann problem with piecewise EOS; the expression of which depends on density. It is found that the mass fraction model can well adapt to the analytic change in piecewise EOS and produce accuracy solutions with fewer unknown quantities, and the model can be easily extended to m ‐component fluid mixture by using only m + 4 equations with no additional conditions. Copyright © 2013 John Wiley & Sons, Ltd. Abstract : A quasi‐conservative interface‐capturing method based on mass fraction is developed to solve the Riemann problem in a multi‐component compressible flow. The method is simple and relaxed; it can be extended to m ‐component fluid mixture by using only m + 4 equations. Numerical examples show that the mass fraction model performs well in the multi‐component Riemann problem with very different EOSs and extreme initial conditions.