Overview
The circle boundary layer case involves a heat source being applied to the inner boundary of a vortex flow around a circular annulus of radius r = [ 1 , 2 ]. This regression test checks the numerical heat flux at the inner boundary to the analytical heat flux with a specified tolerance.
The boundary is set to a thermal boundary layer condition which is a function of r and theta.
The applied heat source on the inner boundary is a function of r and theta.
The initial condition is set to 1.
General Case Information:
- Flow parameters:
- Vortex Flow - Vx = V∞ sin(theta) Vy = V∞ cos(theta)
- Heat source on inner radius boundary
- Non-dimensional viscosity: 10-2
- Solver parameters:
- Equation Set: Scalar 2D
- Nonlinear Solver: Newton
- Basis Type: Hierarchical
- CFL: 1030
- Target residual: 10-11
- Preconditioning:
- Type: ILU (Left)
- Reordering: MDF
- Outer GMRES iterations (# restarts): 20
- Inner GMRES iterations (# Krylov vectors): 200
- Tested Outputs
- L2 error (compared to an exact solution function)
- Numerical heat flux on inner boundary
- Exact heat flux error on inner boundary
- L∞ of the exact heat flux error
Boundary conditions:
- Picture of Source Boundary
Case Specific Details
Case 1 (Non-Adaptive):
- Solution Order: 2
- Iterations to solve: 2
- All outputs tested to a tolerance of 10-12
Job File:
Scalar2d_CircleBoundaryLayer
Case 1 Mesh and Heat Contour:
- Picture of Mesh and Heat Contour
Case 2 (Adaptive):
- Solution Order = 1
- Additional tested outputs: Heat flux adjoint residual
- Adaptation parameters:
- Adaptation Iterations: 2
- Adaptation Method: Fixed fraction
- Output Adapted: Heat flux
- Anisotropy Method: Hessian
- Iterations to solve on each mesh: 2
- All outputs tested to a tolerance of 10-10
Job File:
Scalar2d_CircleBoundaryLayer_Adapt
Case 2 Adapted Meshes and Heat Contours:
- Picture of Adapted Meshes and Heat Contours