4 papers · 1 filter
Data Assimilation with Sparse Observations
Nan Jiang, William Layton, Nanda Nechingal Raghunathan +1
Data assimilation by nudging (also called CDA) yields exponentially decaying errors and an infinite predictability horizon if the method parameter is large enough and the observati…
A family of second order, linear, unconditionally stable methods for the Cahn-Hilliard-Navier-Stokes equations
Daozhi Han, Nan Jiang, Jonah H. Nissan +1
We present a family of second-order, linear, unconditionally stable implicit-explicit (IMEX) methods for the Cahn-Hilliard-Navier-Stokes (CHNS) equations modeling matched-density t…
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations
John Carter, Daozhi Han, Nan Jiang
We propose two unconditionally stable, linear ensemble algorithms with pre-computable shared coefficient matrices across different realizations for the magnetohydrodynamics equatio…
A second-order Ensemble method based on a blended backward differentiation formula timestepping scheme for time-dependent Navier-Stokes equations
Nan Jiang
We present a second-order ensemble method based on a blended three-step backward differentiation formula (BDF) timestepping scheme to compute an ensemble of Navier-Stokes equations…