4 papers
Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm
William Bennett, Ryan G. McClarren, Ethan Smith +1
Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated fro…
Consistent Solutions of the Radiation Diffusion Equation in Spherical and Cylindrical Geometries
Ethan Smith, Evan Bursch, Ryan G. McClarren
We have extended the radiation diffusion model of Hammer and Rosen to diverging spherical and cylindrical geometries. The effect of curvilinear geometry on the supersonic, expandin…
High Energy Density Radiative Transfer in the Diffusion Regime with Fourier Neural Operators
Joseph Farmer, Ethan Smith, William Bennett +1
Radiative heat transfer is a fundamental process in high energy density physics and inertial fusion. Accurately predicting the behavior of Marshak waves across a wide range of mate…
Variable Dynamic Mode Decomposition for Estimating Time Eigenvalues in Nuclear Systems
Ethan Smith, Ilham Variansyah, Ryan McClarren
We present a new approach to calculating time eigenvalues of the neutron transport operator (also known as eigenvalues) by extending the dynamic mode decomposition (DMD) to all…