Nonlinear extended magnetohydrodynamics simulation using high-order finite elements

Nonlinear extended magnetohydrodynamics simulation using high-order finite elements

Peak performance for magnetically confined fusion plasmas occurs near thresholds of instability for macroscopic modes that distort and possibly disrupt equilibrium conditions. In some cases, however, the best approach is to exceed stability thresholds and rely upon nonlinear saturation effects. Understanding this behaviour is essential for achieving ignition in future burning plasma experiments...

Nonlinear Magnetohydrodynamics Simulation Using High - Order Finite Elements

A conforming representation composed of two-dimensional finite elements and finite Fourier series is applied to three-dimensional nonlinear non-ideal magnetohydrodynamics using a semi-implicit time-advance. The self-adjoint semi-implicit operator and variational approach to spatial discretization are synergistic and enable simulation in the extremely stiff conditions found in high temperature p...

Global Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control

In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...

Efficient simulation of cardiac electrical propagation using high order finite elements

We present an application of high order hierarchical finite elements for the efficient approximation of solutions to the cardiac monodomain problem. We detail the hurdles which must be overcome in order to achieve theoretically-optimal errors in the approximations generated, including the choice of method for approximating the solution to the cardiac cell model component. We place our work on a...

Fully Implicit, Nonlinear 3D Extended Magnetohydrodynamics