Numerical Simulation of Compressible Two-phase Flows Using an Eulerian Type Reduced Model

摘要

Computing compressible two-phase flows that consider different materials and physical properties is conducted. A finite volume numerical method based on Godunov approach is developed and implemented to solve an Euler type mathematical model. This model consists of five partial differential equations in one space dimension and it is known as the reduced model. A fixed Eulerian mesh is considered and the hyperbolic problem is tackled using a robust and efficient HLL and HLLC Riemann solvers. The performance of the two solvers is verified against a comprehensive suite of numerical case studies in one and two dimensional space. Computing the evolution of interfaces between two immiscible fluids is considered as a major challenge for the present model and the numerical technique. The achieved numerical results display a good agreement with all reference data.