Pro Tier Module
Taylor-Green Vortex Decay
Verify Taylor-Green kinetic-energy decay against the published closed-form law, in your browser.
This tool runs inside GDBS Pro. What it computes and the authorities it applies are below.
The problem
Confirming that a kinetic-energy decay pipeline matches the canonical Taylor-Green law is a standard CFD sanity check that is awkward to set up ad hoc.
The local-first solution
This plugin drives the real wasm engine in the browser to evaluate the analytic Taylor-Green solution on a discrete grid and verifies the resulting kinetic-energy decay against the published closed-form law E(t) = E0 exp(-4 nu t).
What it does
Evaluation of the analytic Taylor-Green velocity field on a discrete grid
Kinetic-energy sampling over a chosen number of time snapshots
Fit of the observed decay rate compared to the analytic rate 4 nu
Honest worst-case residual mapped to the trust verdict
Adjustable viscosity, amplitude, grid size, and final time
Honest scope
This is a verification harness, NOT an independent Navier-Stokes solver: it confirms the closed-form decay law and the grid-evaluation pipeline but does not integrate the incompressible NS equations. A true NS evolution with nonlinear cascade is the HPC step this bridges to, not a replacement, and EXACT is never claimed for a discrete-grid sampling.
Authorities cited
- Taylor, G. I., & Green, A. E. (1937). Mechanism of the production of small eddies from large ones. Proc. Roy. Soc. A 158, 499-521. DOI 10.1098/rspa.1937.0036. For the k = 1 mode the kinetic energy decays as E(t) = E0 exp(-4 nu t).
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Verify the decay law
Run the verification in the browser and save the result to Sandbox, attach it to a Worklog case, or route it into a Gate client portal. Nothing leaves your machine to anyone's cloud.