POD-interpolation based analysis of indoor airﬂows
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This work reports a proper orthogonal decomposition (POD)-interpolation based prediction of indoor airflows related to displacement ventilation. Steady-state computational fluid dynamics (CFD) solution snapshots with varying relevant non-dimensional number are used to estimate the dominant POD coefficients/modal amplitudes and POD modes. A cubic spline interpolation of the POD coefficients is used to compute the solution for desired value of the non-dimensional number of interest. The verification and validation of this data-driven procedure is performed considering a 2D mixed convection problem involving a horizontal channel with cavity heated from below for a range of Richardson numbers. CFD solutions for a standard displacement ventilation configuration is then used to decompose the flow field variables in terms of Archimedes number dependent POD coefficients and associated space dependent POD bases. A detailed analysis of the CFD and POD-interpolated predicted flow-field variables for displacement ventilation cases, error estimates and the spatial structures of the POD modes are presented.
Master i energi og miljø i bygg