Governing equations on differential form: Difference between revisions
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==== Summary ==== | ==== Summary ==== | ||
The governing equations for compressible inviscid flow on partial differential form: | |||
<math display="block"> | |||
\frac{\partial \rho}{\partial t} + \nabla\cdot(\rho\mathbf{v})=0 | |||
</math> | |||
<math display="block"> | |||
\frac{\partial}{\partial t}(\rho \mathbf{v}) + \nabla\cdot(\rho \mathbf{v}\mathbf{v}) + \nabla p = \rho \mathbf{f} | |||
</math> | |||
<math display="block"> | |||
\frac{\partial}{\partial t}(\rho e_o) + \nabla\cdot(\rho h_o\mathbf{v}) = \rho\mathbf{f}\cdot\mathbf{v} + \dot{q}\rho | |||
</math> | |||
=== The Differential Equations on Non-Conservation Form === | === The Differential Equations on Non-Conservation Form === | ||
