๐ฆ 2D Lid-Driven Cavity Flow (Ghia Benchmark)
Calculate square lid-driven cavity Reynolds number, primary vortex center coordinates (xv, yv), secondary corner eddies, and wall boundary layer thickness (Ghia benchmark).
โก Fortran 90 Engine
Double Precision (IEEE 754)
โ ISO / ASME Validated
Cfd
๐ Solver Telemetry
โ ACTIVE
๐๏ธ Views
16
โก Solves
13
๐พ Downloads
358
๐ฆ Fortran Code
4.4 KB
๐
Released
Jun 2026
โฑ๏ธ Latency
< 1 ms
๐ก
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๐ฆ 2D Lid-Driven Square Cavity & Multi-Eddy Streamlines
Real-time visual simulation of top moving lid, primary central vortex & corner recirculating eddies๐ Configuration & Presets
๐ฌ Benchmark Re = 100
โญ Classic Ghia Re = 1,000
๐ช๏ธ Multi-Eddy Re = 5,000
๐ง Viscous Microcavity
Ghia Benchmark Formulations:
โข Cavity Reynolds: Re = (Ulid ยท L) / ฮฝ
โข Primary Vortex Core: (xv/L, yv/L) migrating toward (0.50, 0.50) as Re โ โ
โข Wall Boundary Layer: ฮดwall โ L / โRe [mm]
โข Lid Shear Drag: Fdrag โ ฯ ฮฝ Ulid (L / ฮดwall) [N/m]
โข Cavity Reynolds: Re = (Ulid ยท L) / ฮฝ
โข Primary Vortex Core: (xv/L, yv/L) migrating toward (0.50, 0.50) as Re โ โ
โข Wall Boundary Layer: ฮดwall โ L / โRe [mm]
โข Lid Shear Drag: Fdrag โ ฯ ฮฝ Ulid (L / ฮดwall) [N/m]
๐ Cavity Flow Results
Configure inputs and click Compute to view results.
๐ Calculation Methodology & Ghia Benchmark Standards
Ghia et al. Reference Benchmark
The 2D incompressible Navier-Stokes square cavity driven by a tangential moving top wall is the universal gold standard for CFD solver validation:
Re = (Ulid ยท L) / ฮฝ
Vortex Core Migration Dynamics
At low $Re = 100$, the primary vortex is centered high at $(0.62, 0.73)$. As inertial convection dominates at $Re \ge 1000$, the vortex core shifts downward toward the geometric center $(0.51, 0.53)$.
Key Engineering Assumptions
- 2D planar incompressible laminar Navier-Stokes equations.
- No-slip boundary conditions on left, right, bottom, and moving top lid.
- Regularized corner singularities.