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Published at November 21

Data assimilation in 2D incompressible Navier-Stokes equations, using a stabilized explicit $O(Δt)^2$ leapfrog finite difference scheme run backward in time

math.NA

Released Date: November 21, 2024

Authors: Alfred S. Carasso¹

Aff.: ¹Unknown Institution

Arxiv: http://arxiv.org/abs/2411.14617v1

Refer to caption

Variable	Desired at $T$ norm	Computed at $0$ norm	Evolved at $T$ norm
$\psi$	0.294	0.308	0.288
$u=\psi_{y}$	12.3	20.6	8.5
$v=-\psi_{x}$	12.7	20.4	8.8
$\omega=-\Delta\psi$	14301	13986	3951