1 citations · 1 across the 4 of their papers we have counts for
4 papers
Wigner-Eckart Factorization of the Spectral Boltzmann Collision Operator
René R. Hiemstra, Torsten Keßler, Michael R. A. Abdelmalik
We reduce the eight-dimensional weak form of the bilinear Boltzmann collision operator to a five-dimensional kinematic core by rigidly rotating the laboratory frame to align with t…
Reconstruction of glymphatic transport fields from subject-specific imaging data, with particular emphasis on cerebrospinal fluid flow and tracer conservation
A. Derya Bakiler, Michael J. Johnson, Michael R. A. Abdelmalik +5
The reconstruction of physically valid transport fields from subject-specific imaging data is a fundamental challenge in image-based computational modeling due to measurement noise…
Extensions to the Navier-Stokes-Fourier Equations for Rarefied Transport: Variational Multiscale Moment Methods for the Boltzmann Equation
F. A. Baidoo, I. M. Gamba, T. J. R. Hughes +1
We derive a fourth order entropy stable extension of the Navier-Stokes-Fourier equations into the transition regime of rarefied gases. We do this through a novel reformulation of t…
Moment closure approximations of the Boltzmann Equation based on ϕ-divergences
M. R. A. Abdel-Malik, E. H. van Brummelen
This paper is concerned with approximations of the Boltzmann equation based on the method of moments. We propose a generalization of the setting of the moment-closure problem from…