I am working on a flame affected by external magnetic field using MHD module with fluent 14.5 . I am using compiled UDF to produce non-uniform profile for boundary condition. My settings are:

Model settings: 2D, k-w SST ,Non-premixed combustion (with 8 species), Magnetic Induction model with under relaxation of 0.6

Boundary conditions: axis,velocity inlet (for fuel), the non uniform magnetic field applied in x-direction for pressure inlet boundary

Solver: Pressure Coupled

But I got the following error:

# Divergence detected in AMG solver: pressure coupled -> Decreasing coarsening group size!

# Divergence detected in AMG solver: pressure coupled -> Increasing relaxation sweeps!

# Divergence detected in AMG solver: pressure coupled -> Changing to W-cycle!

After the detected error, I used Pseudo Trandient method, but nothing was changed.

I decreased “coarsen by” and increased the pre-sweep for scalar and coupled parameters in advanced solution controls, but the error persist. I also reduced the URF of the pressure,energy,density, fmean, and B_y to 0.1 step by step and I couldn’t fix the problem.

When I used BCGSTAB stabilization method for flow I encountered AMG Divergence for k Equation. As I changed the Stabilization method for k, AMG divergence detected in the next equation. Finally I changed all of the equation to BCGSTAB stabilization method, But immediately all the residual changed to 1.#QNBe+00 and the solution is converged!

I should mention that the combustion with MHD equation was solved without Lorenz Force and Joule Heating, but as I turned on Lorenz force the solution process stopped working (with b_0 Scale factor of 0.1).

When I applied magnetic field for cold flow (combustion model is off), the problem converged without any error. And when I turned off magnetic problem the combustion is converged. In other word, but I cannot combine both of them.

Thank you in advance for your help.

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