Algebraic reconstruction method for gas-liquid two-phase mixture flows

To improve the resolution of interface capturing and enhance the ability to solve multi-fluid flows problems with MixtureSolver in gas-liquid two-phase flows simulation software of National Numerical Wind tunnel project (NNW-GLOWS). THINC (Tangent of Hyperbola for INterface Capturing) scheme is applied to compute the numerical flux for the volume fraction function. The coupling of mixture solver with algebraic reconstruction method prevent the unphysical dissipation and maintain sharp fluid interface. Meanwhile, precondition technique is adopted to shrink the convergence course by avoiding imbalance of eigenvalues in low speed flows. Dual-time stepping is applied for unsteady time-marching method. Finally, square advection, Zalesak’s disk solid rotation, and dam break are tested, the numerical results demonstrate that the mixture model solver coupled with THINC approach possess higher resolution for interface capturing and more details in flow field details on the premise of maintaining the conservation of components.