NUMERICAL SIMULATIONS OF FREE SURFACE FLOWS USING A THREE-EQUATION MODEL

Abstract eng:
Numerical results obtained from the application of a three-equation model for free surface flows are presented in the paper. The compressible two-phase flow model is suitable for complex free surface flow simulations that can, for example, include breaking waves. Compared to commonly used shallow water models, the model described in the paper offers certain advantages and wider applicability as it can deal with problems associated with complex interfaces. On the other hand, it should be noted that the model describes only flow field of one phase and the solution of pressure field is significantly simplified. Derived from the seven-equation Baer-Nunziato model and completed with the Tait equation of state, it consists of mass and momentum evolution equations in conservative form and of an advection equation for volume fraction in non-conservative form. A numerical code based on the finite volume method was developed, in which the inviscid numerical flux is approximated by an AUSM scheme. For spatial discretization of the nonconservative term contained in the model, an AUSM-based scheme is applied. The developed algorithm was successfully verified by a well-known dambreak test and further a bubble ascension problem was solved.

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