Setting the Solver Parameters

The simulation runs for 1000 iterations with mesh adaption triggered every 100 iterations. You specify the update frequency in the Adaptive Mesh solver. Additionally, the Coupled Implicit solver requires special settings because of the high-speed hypersonic flow regime. Normally, solver defaults are adequate for most compressible flow cases without requiring any change.

To specify the AMR update frequency:
  1. Select the Solvers > Adaptive Mesh > Trigger > Iteration Frequency node and set Iteration Frequency to 100.

    According to the residual plot, the flow solution converges by one order of magnitude after 100 iterations. Reaching this level of initial convergence gives a sufficient solution on which to perform the first mesh adaption. Avoid performing mesh adaption on an entirely unconverged solution.

To set up the Coupled Solver for hypersonic flow:
  1. Edit the Solvers > Coupled Implicit node and set the following properties:
    Node Property Setting
    Coupled Implicit CFL Control Method Automatic

    Automatic CFL control adjusts the CFL number in response to the AMG solver convergence behavior so that the specified target number of cycles is maintained. CFL control targets a balance between the cost of forming the linear system and the cost of solving it.

    Enhanced Dissipation
    AMG Linear Solver Convergence Tolerance 0.001

    For this particular case with hypersonic flow, some benefit is obtained by reducing this parameter. You reduce the tolerance by which residuals of the linear system must be reduced before multigrid cycling stops. A tolerance of 0.001 requires a drop of three orders of magnitude.

    Relaxation Scheme ILU

    This relaxation scheme is numerically more appropriate for hypersonic compressible flows than the Gauss Seidel Scheme and promotes faster convergence.

    Expert Initialization Method Grid Sequencing

    Grid sequencing performs the normal initialization followed by successive computations for an approximate inviscid solution to the flow problem.

    Grid Sequencing CFL Number 2.5

    Gradients for hypersonic flows can be high especially in the solution initialization stage. Lowering the CFL number slows the progress of grid sequencing and reduces the potential for high gradients to cause problems.