Splitting of Inviscid Fluxes for Real Gases

نویسندگان

  • Meng-Sing Liou
  • Bram van Leer
  • Jian-Shun Shuen
چکیده

The present derivation of split-flux formulas has the following features:(l) it includes several particular formuFlux-vector and flux-difference splittings for the inlas derived elsewhere for ideal gases, (2) it avoids unnecesviscid terms of the compressible flow equations are derived sary assumptions or approximations, (3) it avoids unnecunder the assumption of a general equation of state for a essary auxiliary quantities, and (4) it readily extends to real gas in equilibrium. No unnecessary assumptions, apcurvilinear coordinates. proximations or auxiliary quantities are introduced. The formulas derived include several particular cases known for ideal gases and readily apply to curvilinear coordinates. Applications of the formulas in a TVD algorithm to onedimensional shock-tube and nozzle problems show their quality and robustness. In the next section we briefly discuss the equation of state (EOS) for the real gas and some related thermodynamics quantities. The detailed derivation of split-flux formulas is given in Section 3. Application of this construction in a TVD algorithm 1111 is demonstrated for onedimensional shock tube and nozzle problems.

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تاریخ انتشار 2004