Numerical solutions of 1-D unsteady near-critical fluid flows using finite volume methods

摘要

Tgus paper presents a number of algorithms using a finite volume method for solving the one- dimensional unsteady, low mach number hypercompressible Navier-Stokes equations. Calculations are made, using the SIMPLE, SIMPLER and PISO algorithms, for fluids near their critical point which exhibit singularities in some of the physical properties. Of these the most important are the isothermal compressibility, which goes to infinity whereas the thermal diffusivity goes to zero. The numerical calculations are compared to analytical results.