CFD Mesh Quality & Cell Skewness Calculator

CFD meshing & pre-processing: Evaluate cell equiangle skewness ($Q_{EAS}$), aspect ratio ($AR$), boundary layer prism inflation growth, and total stack height.

Cell Angles & Inflation Parameters

Cell Topology: Element geometry

Max Face Angle θ_max (°): Largest internal face angle

Min Face Angle θ_min (°): Smallest internal face angle

First Layer Height Δy₁ (mm): Initial wall-normal thickness

Expansion Growth Ratio r_e: Layer-to-layer geometric multiplier

Number of Prism Layers N: Total inflation layers

Mesh Quality Diagnosis

Equiangle Skewness (Q_EAS)

Total Inflation Height (Δy_tot)

First Layer Aspect Ratio

Assuming 2.0 mm stream length

Mesh Orthogonal Quality

1 - Q_EAS proxy

Equiangular Base Angle (θ_e)

60.0°

Ideal equilateral angle

Solver Convergence Impact

Gradient matrix condition

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Frequently Asked Questions

What skewness threshold is considered acceptable in ANSYS Fluent?

ANSYS recommends keeping maximum cell skewness below 0.85 for tetrahedral elements and below 0.80 for hexahedra. Any cells with skewness > 0.95 should be eliminated before solving.

Why are high aspect ratio cells acceptable in boundary layers?

In boundary layers, velocity gradients are extreme in the wall-normal direction (dy) but very mild in the streamwise direction (dx). High aspect ratio quad/prism cells (AR up to 100:1) accurately resolve the normal gradient without wasting millions of unnecessary cells along the stream.

What is non-orthogonality in OpenFOAM checkMesh?

Non-orthogonality measures the angle between the vector connecting two cell centroids and the face normal vector. Angles above 70° require non-orthogonal corrector iterations in fvSchemes, and angles > 85° can cause divergence.