71 citations · 265 across the 16 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…