FINITE ELEMENT COMPUTATIONS OF TIME RELAXATION FOR FLOW ENSEMBLESJournal: Applied Engineering Letters (Vol.1, No. 2)
Publication Date: 2016-06-30
Authors : M.Neda; J.Waters;
Page : 51-56
Keywords : fluid dynamics; partial differential equations; finite element; simulation;
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.
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