FINITE ELEMENT COMPUTATIONS OF TIME RELAXATION ALGORITHM FOR FLOW ENSEMBLES

Abstract

Numerical continuous finite element computations of a fluid flow modelling based on ensemble technique are presented herein. This ensemble algorithm is based on time relaxation. At each time step, it requires the storage of a single coefficient matrix with multiple right‐hands sides which corresponds to each ensemble member. Finite element convergence results for the time relaxation ensemble algorithm are presented and tested in a numerical experiment. This numerical experiment supports the theoretical finite element results. The time relaxation efficiency was shown in the second cavity benchmark problem.

Keywords

• fluid dynamics
• partial differential equations
• finite element
• simulation