1 citations · 1 across the 4 of their papers we have counts for
8 papers
KiT-RT: An extendable framework for radiative transfer and therapy
Jonas Kusch, Steffen Schotthöfer, Pia Stammer +2
In this paper we present KiT-RT (Kinetic Transport Solver for Radiation Therapy), an open-source C++ based framework for solving kinetic equations in radiation therapy applications…
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system
Steffen Schotthöfer, Tianbai Xiao, Martin Frank +1
This work presents neural network based minimal entropy closures for the moment system of the Boltzmann equation, that preserve the inherent structure of the system of partial diff…
A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks
Steffen Schotthöfer, Tianbai Xiao, Martin Frank +1
Direct simulation of physical processes on a kinetic level is prohibitively expensive in aerospace applications due to the extremely high dimension of the solution spaces. In this…
A flux reconstruction kinetic scheme for the Boltzmann equation
Tianbai Xiao
It is challenging to solve the Boltzmann equation accurately due to the extremely high dimensionality and nonlinearity. This paper addresses the idea and implementation of the firs…
Using neural networks to accelerate the solution of the Boltzmann equation
Tianbai Xiao, Martin Frank
One of the biggest challenges for simulating the Boltzmann equation is the evaluation of fivefold collision integral. Given the recent successes of deep learning and the availabili…
Modeling and Simulation of Non-equilibrium Flows with Uncertainty Quantification
Tianbai Xiao
In the study of gas dynamics, theoretical modeling and numerical simulation are mostly set up with deterministic settings. Given the coarse-grained modeling in theories of fluids,…