“…In recent ten years, a number of numerical methods and the computational codes for simulating flows with complex physics have been developed in our laboratory. For examples, a numerical method for hypersonic thermo-chemical nonequilibrium flows [1], a method for supersonic flows in magnet-plasma dynamic(MPD) thrusters [2], and a method for transonic flows of moist air with nonequilibrium condensation [3], have been proposed for simulating compressible flows with such complex physics. These three methods are based on compressible flow solvers.…”