Calculation of Inviscid Jacobian in HiSA

ugurtan666 · August 5, 2021, 00:49

Hello Foamers,

I have just started to use OpenFOAM Solver HiSA (High Speed Aero) Solver and I try to understand the structure. I am using AUSMPLUSUP flux scheme with Lax Friedrich inviscid Jacobian scheme.

The flux is calculated using as declared in Liou's journal in 2006 to assign the values of Phi, PhiUp, PhiEp and Up while the inviscid Jacobian is used by assigning different sections on this jacobian with the tools of div and grad.

However, I missed the point where the calculated fluxes are used in the addition of Inviscid Jacobian. Because it appears to me that volscalarfields and volvectorfields are used by the operators of div and grad.

It would be quite beneficial if someone can explain where the calculated fluxes at the surfaces are used as an input for the calculation of inviscid Jacobian.

Mdong · May 3, 2022, 10:10

Hello,ugurtan666
I study hisa recently, and I try to understand the structure.But I can not understand the project,could you give some information of this solver?
Thanks

Saleh Abuhanieh · May 17, 2022, 07:59

Hi,

For inviscid Jacobian, HiSA uses first-Order (Lax Friedrich) scheme. This is why it doesn't use the fluxes calculated for the RHS like AUSM or HLLC. Instead, it uses the analytical derivative of the normal fluxes vector.

This is common for the codes that use the defect-correct method for the approximate Newton solvers; first-Order for LHS and second-Order for RHS.

The codes which use the finite difference method for the inviscid Jacobian calculation (e.g. SU2) need the calculated fluxes values.

Many useful information are available at their gitlab page.

https://hisa.gitlab.io/doc.html

I hope that was useful.

Regards,
Saleh

August 5, 2021, 00:49	Calculation of Inviscid Jacobian in HiSA	#1
ugurtan666 New Member ugurtan Join Date: May 2020 Location: Munich, Germany Posts: 19 Rep Power: 6	Hello Foamers, I have just started to use OpenFOAM Solver HiSA (High Speed Aero) Solver and I try to understand the structure. I am using AUSMPLUSUP flux scheme with Lax Friedrich inviscid Jacobian scheme. The flux is calculated using as declared in Liou's journal in 2006 to assign the values of Phi, PhiUp, PhiEp and Up while the inviscid Jacobian is used by assigning different sections on this jacobian with the tools of div and grad. However, I missed the point where the calculated fluxes are used in the addition of Inviscid Jacobian. Because it appears to me that volscalarfields and volvectorfields are used by the operators of div and grad. It would be quite beneficial if someone can explain where the calculated fluxes at the surfaces are used as an input for the calculation of inviscid Jacobian.

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May 3, 2022, 10:10		#2
Mdong New Member Madong Join Date: Jan 2021 Posts: 4 Rep Power: 5	Hello,ugurtan666 I study hisa recently, and I try to understand the structure.But I can not understand the project,could you give some information of this solver? Thanks

May 17, 2022, 07:59		#3
Saleh Abuhanieh Member Saleh Abuhanieh Join Date: Nov 2017 Posts: 83 Rep Power: 9	Hi, For inviscid Jacobian, HiSA uses first-Order (Lax Friedrich) scheme. This is why it doesn't use the fluxes calculated for the RHS like AUSM or HLLC. Instead, it uses the analytical derivative of the normal fluxes vector. This is common for the codes that use the defect-correct method for the approximate Newton solvers; first-Order for LHS and second-Order for RHS. The codes which use the finite difference method for the inviscid Jacobian calculation (e.g. SU2) need the calculated fluxes values. Many useful information are available at their gitlab page. https://hisa.gitlab.io/doc.html I hope that was useful. Regards, Saleh