Abstract
A numerical method for solving not only gas but also liquid and solid in critical conditions such as supercritical high pressure and high temperature conditions is proposed. This method is based on the preconditioning method and the real gas equation of state(EOS). The Peng-Robinson EOS is employed to approximate the supercritical fluids. Thermal properties of the supercritical fluids are evaluated by theoretical and experimental approaches. Since this method allows zero velocity fields without the stiffness, the thermal conduction in solid states are also solvable using the present method. As a typical numerical example, a micro-scale near-critical carbon-dioxide flow around the NACA0012 airfoil with the solid skin in the airfoil is calculated and the calculated temperature contours around and in the airfoil are shown.
