POD output projection plus balanced truncation creates reduced-order models that make LMI control synthesis tractable for minimizing transient energy growth in channel flow, outperforming LQR.
Model reduction for fluids using balanced proper orthogonal decomposition,
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Gaussian primitives compress 3D Taylor-Green vortex flows at ratios over 1000x while preserving velocity but degrading enstrophy, with anisotropic extensions recovering small-scale vortical structures better than baseline or other variants.
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Control-oriented model reduction for minimizing transient energy growth in shear flows
POD output projection plus balanced truncation creates reduced-order models that make LMI control synthesis tractable for minimizing transient energy growth in channel flow, outperforming LQR.
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Gaussian Field Representations for Turbulent Flow: Compression, Scale Separation, and Physical Fidelity
Gaussian primitives compress 3D Taylor-Green vortex flows at ratios over 1000x while preserving velocity but degrading enstrophy, with anisotropic extensions recovering small-scale vortical structures better than baseline or other variants.