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A simple algebraic interface capturing scheme using hyperbolic tangent function. (English) Zbl 1072.76046
Summary: This paper presents a simple and practical scheme for capturing moving interfaces or free boundaries in multi-fluid simulations. The scheme, which is called THINC (tangent of hyperbola for interface capturing), makes use of the hyperbolic tangent function to compute the numerical flux for the fluid fraction function, and gives a conservative, oscillation-less and smearing-less solution to the fluid fraction function even for the extremely distorted interfaces of arbitrary complexity. The numerical results from the THINC scheme possess adequate quality for practical applications, which make the extra geometric reconstruction, such as those in most of the volume of fluid methods unnecessary. Thus the scheme is quite simple. The numerical tests show that the THINC scheme has competitive accuracy compared to most exiting methods.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76T10 Liquid-gas two-phase flows, bubbly flows
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