Conservationvariable average states for the multidimensional Euler fluxes and arbitrary equilibrium real gases
Abstract
This paper focuses on the development of an equilibrium realgas Riemann solver that requires no auxiliary assumptions for computing the average pressure derivatives to determine the multidimensional average fluxvector Jacobian. By employing the multidimensional mean value theorem, the theoretical developments give one average pressure and two internal conservationvariable average states that correspond to intermediate states between the given right and left states. These states are utilized to compute the average sound speed and pressure derivatives without any additional internal energy, geometric projections, and scale factors.
 Publication:

31st AIAA Aerospace Sciences Meeting and Exhibit
 Pub Date:
 January 1993
 Bibcode:
 1993aiaa.meetQ....I
 Keywords:

 Conservation Equations;
 Euler Equations Of Motion;
 Gas Pressure;
 Pressure Oscillations;
 Real Gases;
 Computational Fluid Dynamics;
 Degrees Of Freedom;
 Flux Vector Splitting;
 Fluid Mechanics and Heat Transfer