On Positivity Preserving Finite Volume Schemes for Compressible Euler Equations
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Pagination or Media Count:
We consider positivity preserving property of first and higher order finite volume schemes for one and two dimensional compressible Euler equations of gas dynamics. A general framework is established which shows the positivity of density and pressure whenever the underlying one dimensional first order building block based on exact or approximate Riemann solver and the reconstruction are both positivity preserving. Appropriate limitation to achieve high order positivity preserving reconstruction is described. Finite volume schemes, Gas dynamics, Stability, Positivity preserving.
- Numerical Mathematics
- Fluid Mechanics