Abstract:In this paper, we propose, analyze, and test a new fully discrete, efficient, decoupled, stable, and practically second-order time-stepping algorithm for computing MHD ensemble flow averages under uncertainties in the initial conditions and forcing. For each viscosity and magnetic diffusivity pair, the algorithm picks the largest possible parameter θ ∈ [0, 1] to avoid the instability that arises due to the presence of some explicit viscous terms. At each time step, the algorithm shares the same system matrix w… Show more
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