Reduced Order Modeling Based Energy Efficient and Adaptable Design

Samadiani, Emad

doi:10.1007/978-1-4419-7124-1_10

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2022

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“…Reduced models are based on the fact that, for dissipative evolution equations, a finite low-dimensional manifold contains the longterm behavior of the system [21][22][23][24][25]. These ideas have been applied in practical contexts, such as aerodynamics [11,26,27], haemodynamics [28], naval industry [29], technologies of measurement [30], or energy efficiency [31], among many others.…”

Section: Introductionmentioning

confidence: 99%

A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem

2022

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A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an energy equation depending on the Rayleigh number R as a bifurcation parameter. From the numerical solution and stability analysis of the system for a single value of the bifurcation parameter, the whole bifurcation diagram in an interval of values of R is obtained. Three different bifurcation points and four types of solutions are obtained with small errors. The computing time is drastically reduced with this methodology.

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