71 citations · 265 across the 16 of their papers we have counts for
16 papers
A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions
Zakariae Jorti, Qi Tang, Konstantin Lipnikov +1
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 (VD…
Scalable Implicit Solvers with Dynamic Mesh Adaptation for a Relativistic Drift-Kinetic Fokker-Planck-Boltzmann Model
Johann Rudi, Max Heldman, Emil M. Constantinescu +2
In this work we consider a relativistic drift-kinetic model for runaway electrons along with a Fokker-Planck operator for small-angle Coulomb collisions, a radiation damping operat…
An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD
Qi Tang, Luis Chacon, Tzanio V. Kolev +2
The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems, including the evolution of complex plasma dynamics in tok…
Stable finite difference methods for Kirchhoff-Love plates on overlapping grids
Longfei Li, Hangjie Ji, Qi Tang
In this work, we propose and develop efficient and accurate numerical methods for solving the Kirchhoff-Love plate model in domains with complex geometries. The algorithms proposed…
A parallel cut-cell algorithm for the free-boundary Grad-Shafranov problem
Shuang Liu, Qi Tang, Xian-Zhu Tang
A parallel cut-cell algorithm is described to solve the free-boundary problem of the Grad-Shafranov equation. The algorithm reformulates the free-boundary problem in an irregular b…
An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation
Zhichao Peng, Qi Tang, Xian-Zhu Tang
In this work, we propose and develop an arbitrary-order adaptive discontinuous Petrov-Galerkin (DPG) method for the nonlinear Grad-Shafranov equation. An ultraweak formulation of t…
A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes
Andrew J. Christlieb, Xiao Feng, Yan Jiang +1
A high-order finite difference numerical scheme is developed for the ideal magnetohydrodynamic equations based on an alternative flux formulation of the weighted essentially non-os…
A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions
J. W. Banks, W. D. Henshaw, D. W. Schwendeman +1
This paper describes a novel partitioned algorithm for fluid-structure interaction (FSI) problems that couples the motion of rigid bodies and incompressible flow. This is the first…
Space-charge effect of the time-varying electron injection in a diode: classical and relativistic regimes
Yangjié Liu, Qi Tang, Biyi Wu
Conventionally, space-charge (SC) limited current density is defined as the maximal cur- rent density allowed to traverse a diode under a DC voltage when a time-invariant flow is i…
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis
J. W. Banks, W. D. Henshaw, D. W. Schwendeman +1
A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned}…
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation
J. W. Banks, W. D. Henshaw, D. W. Schwendeman +1
A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned}…
A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations
Andrew J. Christlieb, Xiao Feng, David C. Seal +1
We propose a high-order finite difference weighted ENO (WENO) method for the ideal magnetohydrodynamics (MHD) equations. The proposed method is single-stage, single-step, maintains…
Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Elliptic Equations
Zixuan Wang, Qi Tang, Wei Guo +1
This paper constitutes our initial effort in developing sparse grid discontinuous Galerkin (DG) methods for high-dimensional partial differential equations (PDEs). Over the past fe…
An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations
David C. Seal, Qi Tang, Zhengfu Xu +1
In this work we construct a high-order, single-stage, single-step positivity-preserving method for the compressible Euler equations. Space is discretized with the finite difference…
Positivity-Preserving Finite Difference WENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations
Andrew J. Christlieb, Yuan Liu, Qi Tang +1
In this paper, we utilize the maximum-principle-preserving flux limiting technique, originally designed for high order weighted essentially non-oscillatory (WENO) methods for scala…
Finite Difference Weighted Essentially Non-Oscillatory Schemes with Constrained Transport for Ideal Magnetohydrodynamics
Andrew J. Christlieb, James A. Rossmanith, Qi Tang
In this work we develop a class of high-order finite difference weighted essentially non-oscillatory (FD-WENO) schemes for solving the ideal magnetohydrodynamic (MHD) equations in…