[Cfdjunior]

I wondered recently if the PDE's in the differential form could afford to have discontinuities .

I know that for shock wave analysis discontinuities can be accounted for .

But to obtain integral forms , the discontinuities should be a part of them , so are there any corrective measures that we can take

[FMDenaro]

Originally Posted by Cfdjunior

I wondered recently if the PDE's in the differential form could afford to have discontinuities .

I know that for shock wave analysis discontinuities can be accounted for .

But to obtain integral forms , the discontinuities should be a part of them , so are there any corrective measures that we can take

Using Euler equations in integral form you have no need of the regularity in the interior of the control volume. You just evaluate the fluxes through the surfaces.
I suggest the textbbok of Leveque about FV method

[praveen]

Originally Posted by Cfdjunior

I wondered recently if the PDE's in the differential form could afford to have discontinuities .

I know that for shock wave analysis discontinuities can be accounted for .

But to obtain integral forms , the discontinuities should be a part of them , so are there any corrective measures that we can take

Can you give some examples of what you are talking about ?