- #1
dcs23
- 6
- 0
Hi Guys,
I know that the compressible Euler Equations are:
[tex]\partial_t (\rho \mathbf u) + (\mathbf u \cdot \nabla)(\rho \mathbf u) + \nabla p = 0[/tex]
[tex]\partial_t \rho + \nabla \cdot (\rho \mathbf u) = 0[/tex]
Subject to suitable initial conditions and solving for [tex]\mathbf u, \; \rho[/tex] unknown.
Does anybody have an example of a pair of functions which satisfies these relations in a non-1D case?
I know that the compressible Euler Equations are:
[tex]\partial_t (\rho \mathbf u) + (\mathbf u \cdot \nabla)(\rho \mathbf u) + \nabla p = 0[/tex]
[tex]\partial_t \rho + \nabla \cdot (\rho \mathbf u) = 0[/tex]
Subject to suitable initial conditions and solving for [tex]\mathbf u, \; \rho[/tex] unknown.
Does anybody have an example of a pair of functions which satisfies these relations in a non-1D case?