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math.NA2023★ 5 cited
Local conservation laws of continuous Galerkin method for the incompressible Navier--Stokes equations in EMAC form
Maxim A. Olshanskii, Leo G. Rebholz
We consider local balances of momentum and angular momentum for the incompressible Navier-Stokes equations. First, we formulate new weak forms of the physical balances (conservatio…
math.NA2023
Removing splitting/modeling error in projection/penalty methods for Navier-Stokes simulations with continuous data assimilation
Elizabeth Hawkins, Leo G. Rebholz, Duygu Vargun
We study continuous data assimilation (CDA) applied to projection and penalty methods for the Navier-Stokes (NS) equations. Penalty and projection methods are more efficient than c…