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Old   July 23, 2019, 17:11
Default Transport Equations around Shockwaves
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Pierce
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Hello,

I'm trying to implement the Transport equations around a shockwave in order to recover Pressure. I've written the equations in conservative form around the shock but am still off from the CFD's Static Pressure.
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Old   July 24, 2019, 03:13
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Originally Posted by PierceH View Post
Hello,

I'm trying to implement the Transport equations around a shockwave in order to recover Pressure. I've written the equations in conservative form around the shock but am still off from the CFD's Static Pressure.



What do you mean exactly? In presence of a shock what kind of equation are you using? Write the details
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Old   August 8, 2019, 14:10
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What do you mean exactly? In presence of a shock what kind of equation are you using? Write the details
I want to solve the invsicd Momentum equation for Pressure:

\nabla P = \nabla (\rho q q)

I would love to solve this on Star by making it a Poisson equation by taking the divergence of this equation, however, I can't see any way to do this. As a result I have to resort to doing this by solving a transport equation by taking \rho q , where the right hand side is the source term, for steady flow so no transient and diffusion term is off. This equation is very sensitive around a shock and we struggle to have highly accurate results where pressure differences are <1% (required for drag)

where q is the velocity vector
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Old   August 8, 2019, 15:21
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Quote:
Originally Posted by PierceH View Post
I want to solve the invsicd Momentum equation for Pressure:

\nabla P = \nabla (\rho q q)

I would love to solve this on Star by making it a Poisson equation by taking the divergence of this equation, however, I can't see any way to do this. As a result I have to resort to doing this by solving a transport equation by taking \rho q , where the right hand side is the source term, for steady flow so no transient and diffusion term is off. This equation is very sensitive around a shock and we struggle to have highly accurate results where pressure differences are <1% (required for drag)

where q is the velocity vector

You cannot define a derivative across a shock ....
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