Correction of Conservative Euler Solvers for Gas Mixtures

✍ Scribed by P. Jenny; B. Müller; H. Thomann

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 759 KB
• Volume: 132
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.5625

✦ Synopsis

errors up to the truncation error. That second-order nonconservative scheme was employed by Quirk and Karni Conservative Euler solvers for gas mixtures produce numerical errors near contact discontinuities, if the temperature and the ratio [13] to simulate the interactions of plane shock waves with of specific heats are not constant there. For mixtures of perfect cylindrical gas bubbles contained in air using adaptive mesh gases, a simple correction of the total energy per unit volume is refinement. In another approach, Karni [8] solved the conproposed to avoid these errors. This is done in a physical way and servation laws augmented by the non-conservative energy only the total energy looses some of its conservativity. Numerical equation, identified the vicinity of the contact discontinusimulations of contact discontinuity convection, a shock tube problem, and shock-interface interactions in 1D and 2D yield much more ity, and switched there from a conservative formulation to accurate solutions, if the correction is applied. The straightforward a non-conservative one with regard to the energy equation.

Toro [17] used a non-conservative scheme, except for the vicinity of shock waves where the discretization is switched to a conservative scheme. However, since most flow solvers