Computational fluid dynamics, in your browser

GDBS runs canonical CFD cases directly in your browser, deterministically, with no cluster queue and no install. It is a bridge to HPC: a place to develop and verify a method against known solutions before committing it to full DNS, RANS, or LES on a supercomputer, not a surrogate for those runs.

What it computes

• Laminar boundary layers via the Blasius and Falkner-Skan similarity equations.
• Incompressible Navier-Stokes, including the Taylor-Green vortex solved with a spectral method on WebGPU.
• Compressible Euler with shocks, including the Sod shock tube using an HLLC flux with MUSCL reconstruction.

Validated results

• Verified Blasius wall shear f''(0) = 0.4696, obtained by independent shooting of the boundary layer equation (Howarth 1938). See the Blasius boundary layer detail page.
• Verified Taylor-Green kinetic energy decay rate 4ν on a WebGPU spectral solve, with a maximum relative error of 6.6e-7 against the analytic decay (Taylor & Green 1937; Orszag 1971). See the Taylor-Green vortex detail page.
• Verified Sod shock tube density and pressure remain positive, with a finite L1 difference measured against the exact Riemann solution (Sod 1978, JCP 27, 1).

Honest scope

These are canonical verification cases and method-development tools. They check that the in-browser solvers reproduce known analytic or exact solutions; they are a bridge to full DNS, RANS, and LES on HPC, not a replacement for those simulations.

References

• Howarth, L. (1938). On the solution of the laminar boundary layer equations. Proc. Roy. Soc. A.
• Taylor, G. I. & Green, A. E. (1937). Mechanism of the production of small eddies from large ones. Proc. Roy. Soc. A 158, 499.
• Orszag, S. A. (1971). Numerical simulation of incompressible flows within simple boundaries.
• Sod, G. A. (1978). A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27, 1.

Reproduce it

Open GDBS All validated results Full matrix