A novel model order reduction framework via staggered reduced basis space-time finite elements in linear first order transient systems

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International Journal of Heat and Mass Transfer, ISSN: 0017-9310, Vol: 117, Page: 991-1005

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R. Deokar; K. K. Tamma
Elsevier BV
Physics and Astronomy; Engineering; Chemical Engineering
article description
A novel model order reduction framework for space and time domain discretizations is proposed. Iterative convergence of a Galerkin approximation in space and a Least Squares Petrov Galerkin approximation in time is obtained through a staggered reduced basis method in space-time. In every iteration, one of the two domains (space or time) is refined; and the other is reduced and a posteriori error indicators in space and time are used to drive the convergence iterations. Numerical results for 2D heat transfer and convection-diffusion problems demonstrate the significant computational efficiency of the proposed methodology. Comparisons of wall-clock times and solution accuracy with traditional time integration algorithms has been presented to validate the efficacy of the proposed framework and demonstrate computational savings of an order of magnitude.