Simplified eigenstructure decomposition solver for the simulation of two-phase flow systems

This paper discusses the development of a new solver for a system of first-order non-linear differential equations that model the dynamics of compressible two-phase flow. The solver presents a lower-complexity alternative to Roe-type solvers because it only makes use of a partial eigenstructure information while maintaining its accuracy: the outcome is hence a good complexity–tractability trade-off to consider as relevant in a large number of situations in the scope of two-phase flow numerical simulation. A number of numerical and physical benchmarks are presented to assess the solver. Comparison between the computational results from the simplified eigenstructure decomposition solver and the conventional Roe-type solver gives insight upon the issues of accuracy, robustness and efficiency.