Ensemble algorithm for parameterized convection problems with energy stable open boundary conditions

We propose a novel simulation algorithm for approximating ensembles of parameterized incompressible, non-isothermal flow problems in the presence of open boundaries. By adopting the idea of gPAV framework [Lin et al.: Comput. Methods Appl. Mech. Eng. 365, 112969 (2020)], we develop an efficient ensemble algorithm that only requires a single matrix assembly. We establish the unconditional stability results without any restricting assumptions on the variance of the diffusion coefficients or the time steps. Numerical tests on three benchmark flow problems show the accuracy and efficiency of our algorithm.