Intelligent attractors for singularly perturbed dynamical systems
Singularly perturbed dynamical systems, commonly known as fast-slow systems, play a
crucial role in various applications such as plasma physics. They are closely related to …
crucial role in various applications such as plasma physics. They are closely related to …
On a fully-implicit VMS-stabilized FE formulation for low Mach number compressible resistive MHD with application to MCF
This study presents the development and evaluation of a fully-implicit variational multiscale
(VMS) stabilized unstructured finite element (FE) formulation for compressible …
(VMS) stabilized unstructured finite element (FE) formulation for compressible …
Universal AMG accelerated embedded boundary method without small cell stiffness
We develop a universally applicable embedded boundary finite difference method, which
results in a symmetric positive definite linear system and does not suffer from small cell …
results in a symmetric positive definite linear system and does not suffer from small cell …
An adaptive Newton-based free-boundary Grad-Shafranov solver
Equilibriums in magnetic confinement devices result from force balancing between the
Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a …
Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a …
Scalable Multiphysics Block Preconditioning for Low Mach Number Compressible Resistive MHD with Application to Magnetic Confinement Fusion
This study investigates multiphysics block preconditioners that are critical in devising
scalable Newton–Krylov iterative solvers for longer time-scale fully implicit fluid plasma …
scalable Newton–Krylov iterative solvers for longer time-scale fully implicit fluid plasma …
An accurate SUPG-stabilized continuous Galerkin discretization for anisotropic heat flux in magnetic confinement fusion
GA Wimmer, BS Southworth, K Sagiyama… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a novel spatial discretization for the anisotropic heat conduction equation, aimed
at improved accuracy at the high levels of anisotropy seen in a magnetized plasma, for …
at improved accuracy at the high levels of anisotropy seen in a magnetized plasma, for …
On a fully-implicit VMS-stabilized FE formulation for low Mach number compressible resistive MHD with application to MCF
This study presents the development and evaluation of a fully-implicit variational multiscale
(VMS) stabilized unstructured finite element (FE) formulation for compressible …
(VMS) stabilized unstructured finite element (FE) formulation for compressible …
A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions
Force-free plasmas are a good approximation where the plasma pressure is tiny compared
with the magnetic pressure, which is the case during the cold vertical displacement event …
with the magnetic pressure, which is the case during the cold vertical displacement event …