Numerical Calculation of Multi-component Conservative Euler Equations Under Mie-Griineisen Equation of State
For multi-component fluid field under Mie-Gruneisen equation of state, we consider some complex coefficients in Euler equations as conserved variables, and add new equations to simplify structure of original equation. In addition, mass fraction is introduced for different medium in field and flux is treated approximately. With modified Euler equation system and a MUSCL-TVD scheme we simulate interaction of different medium characterized by Mie-Cruneisen equation of state. It shows that the approach makes the equations conserved and treats sharp interfaces with different medium well.