Dear all,

as we know that the central difference scheme is popular and a common practice for incompressible flow LES, I wonder if Jameson's central difference scheme is also OK for compressible flow LES. Why or why not ? Any references ?

Thanks for your reply in advance.

Li Yang

I used the TVD scheme with convective term and central difference scheme in the viscous term. I'm studying the compressible LES.

Hi,

I have not tried Jameson for LES, but have used it for incompressible NS. It Works well. Just switch off the shock capturing dissipation terms, At present I am not exactly remembering it. I will give the answer in 1-2 days time.

Best of Luck

Apurva

Hi Apurva,

Jameson's scheme is indeed OK for relatively low speed flow simulation. What did you mean "switch off the shock capturing dissipation term" ? As far as I know, Jameson's central difference scheme consists of a central differencing term and two artificial viscosity terms.

Kind regards

Li

as far as I know, most of people using high order (3rd or 5th order) upwind schemes for compressible flow LES. But those schemes are found still very dissipative.

Therefore, I would like to know whether Jameson's central difference scheme will be OK for compresible flow LES where there is no strong shock.

Their are second order and fourth order dissipative terms. One of them is meant for damping the osscilations and avoiding checker-board solution. While second is used for shock capturing and avoiding failure of central difference scheme at Mach 1 (where normal central difference scheme will fail).

Please read Jameson, Turkel and Skmidt's paper carefully.

I have a suggession, go through 1997 AIAA Journal, there is a paper by Jonathan Wises (I am not sure of spelling) on preconditioning. Try that method.

Thanks a lot. I have some further questions about Jameson's scheme, as I wonder how large these artificial viscocity terms could be, compared to the real viscous terms. In addition, can these two artificial viscous terms be switched off for a RANS calculation in a subsonic case ? Will this makes possibly a stable and less dissipative numerical scheme ?

Implicit Solution of Preconditioned Navier-Stokes Equations Using Algebraic Multigrid.

Author(s): Jonathan M. Weiss; Joseph P. Maruszewski; Wayne A. Smith

Source: AIAA Journal (American Institute of Aeronautics and Astronautics)

Year: 1999 Volume: 37 Number: 1 Pages: 29-36