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Alfred S. Carasso investigates how information about an earlier fluid state can be recovered by running a numerical approximation backward in time. The study focuses on two-dimensional incompressible flow governed by the Navier–Stokes equations.
A stabilized explicit leapfrog finite difference scheme addresses the instability of this backward problem. Numerical examples examine the method’s behavior and the recovery of flow information. The complete mathematical report preserves its equations, computational discussion, figures and references.
Alfred S. Carasso (2024). Data Assimilation in 2D Incompressible Navier–Stokes Equations, Using a Stabilized Explicit O(Δt)² Leapfrog Finite Difference Scheme Run Backward in Time. National Institute of Standards and Technology. https://doi.org/10.6028/NIST.TN.2299. Republished courtesy of the National Institute of Standards and Technology.