A Bayesian inference framework with Gaussian likelihood and inverse-Gamma priors analytically updates Galerkin-POD ODE coefficients to improve stability and accuracy for unsteady compressible flows, validated on dimpled-surface oscillation and centrifugal compressor cases.
Tadmor, Convergence of spectral methods for nonlinear conservation laws, SIAM Journal on Numerical Analysis26, 30 (1989)
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Bayesian-Enhanced Galerkin-Based Reduced Order Modelling for Unsteady Compressible Flows
A Bayesian inference framework with Gaussian likelihood and inverse-Gamma priors analytically updates Galerkin-POD ODE coefficients to improve stability and accuracy for unsteady compressible flows, validated on dimpled-surface oscillation and centrifugal compressor cases.