Positivity-Preserving Lax-Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models

Authors: Johnson, Erica R., Rossmanith, James A., Vaughan, Christine

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2111.03709

A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes

Authors: Khanwale, Makrand A., Saurabh, Kumar, Ishii, Masado, Sundar, Hari, Rossmanith, James A., Ganapathysubramanian, Baskar

Source: Journal of Computational Physics, Volume 475 (2023) 111874

Subject Terms: Mathematics - Numerical Analysis, Physics - Computational Physics, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/2107.05123

Semi-implicit Hybrid Discrete $\left(\text{H}^T_N\right)$ Approximation of Thermal Radiative Transfer

Authors: McClarren, Ryan G., Rossmanith, James A., Shin, Minwoo

Subject Terms: Mathematics - Numerical Analysis, 85A25, 65M60

Access URL: http://arxiv.org/abs/2102.13021

Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly

Authors: Christlieb, Andrew J., Guthrey, Pierson T., Rossmanith, James A.

Subject Terms: Mathematics - Numerical Analysis, 65M12, 65M60, 65Y20, 35L03

Access URL: http://arxiv.org/abs/2101.01231

A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes

Authors: Khanwale, Makrand A, Saurabh, Kumar, Fernando, Milinda, Calo, Victor M., Rossmanith, James A., Sundar, Hari, Ganapathysubramanian, Baskar

Source: Computer Physics Communications, (2022) 108501

Subject Terms: Mathematics - Numerical Analysis, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/2009.06628

Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes

Authors: Khanwale, Makrand A, Lofquist, Alec D., Sundar, Hari, Rossmanith, James A., Ganapathysubramanian, Baskar

Subject Terms: Mathematics - Numerical Analysis, Physics - Computational Physics, Physics - Fluid Dynamics

Access URL: http://arxiv.org/abs/1912.12453

A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods

Authors: Felton, Camille, Harris, Mariana, Logemann, Caleb, Nelson, Stefan, Pelakh, Ian, Rossmanith, James A.

Subject Terms: Mathematics - Numerical Analysis, 65M12, 65M60, 35L65

Access URL: http://arxiv.org/abs/1806.06756

The Regionally-Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM

Authors: Guthrey, Pierson T., Rossmanith, James A.

Subject Terms: Mathematics - Numerical Analysis, 65M12, 65M60, 35L03

Access URL: http://arxiv.org/abs/1711.03447

Positivity-preserving discontinuous Galerkin methods with Lax-Wendroff time discretizations

Authors: Moe, Scott A., Rossmanith, James A., Seal, David C.

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1601.08145

A Simple and Effective High-Order Shock-Capturing Limiter for Discontinuous Galerkin Methods

Authors: Moe, Scott A., Rossmanith, James A., Seal, David C.

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1507.03024

High-Order Discontinuous Galerkin Finite Element Methods with Globally Divergence-Free Constrained Transport for Ideal MHD

Authors: Rossmanith, James A.

Subject Terms: Mathematics - Numerical Analysis, Physics - Plasma Physics, 35L65, 65M08, 65M20, 65M60, 76W05

Access URL: http://arxiv.org/abs/1310.4251

Finite Difference Weighted Essentially Non-Oscillatory Schemes with Constrained Transport for Ideal Magnetohydrodynamics

Authors: Christlieb, Andrew J., Rossmanith, James A., Tang, Qi

Subject Terms: Mathematics - Numerical Analysis, Physics - Plasma Physics, 35L65, 65M06, 65M20, 76W05

Access URL: http://arxiv.org/abs/1309.3344

Outflow Positivity Limiting for Hyperbolic Conservation Laws. Part I: Framework and Recipe

Authors: Johnson, Evan Alexander, Rossmanith, James A.

Subject Terms: Mathematics - Numerical Analysis, Physics - Fluid Dynamics, 65M60, G.1.8

Access URL: http://arxiv.org/abs/1212.4695

A Class of Quadrature-Based Moment-Closure Methods with Application to the Vlasov-Poisson-Fokker-Planck System in the High-Field Limit

Authors: Cheng, Yongtao, Rossmanith, James A.

Subject Terms: Mathematics - Numerical Analysis, Physics - Plasma Physics, 65M60, 35L65, 82B40

Access URL: http://arxiv.org/abs/1212.4026

A high-order unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations based on the method of lines

Authors: Helzel, Christiane, Rossmanith, James A., Taetz, Bertram

Subject Terms: Mathematics - Numerical Analysis, Physics - Plasma Physics, 35L02, 65M08, 65M20, 76N15

Access URL: http://arxiv.org/abs/1203.3760

Multiscale discontinuous galerkin methods for coupled MHD-kinetic plasma simulations

Authors: Rossmanith, James A., Johnson, Evan A.

Source: 2008 IEEE 35th International Conference on Plasma Science Plasma Science, 2008. ICOPS 2008. IEEE 35th International Conference on. :1-1 Jun, 2008

Relation: 2008 IEEE 35th International Conference on Plasma Science (ICOPS)

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Ten-moment two-fluid plasma model agrees well with PIC/Vlasov in GEM problem

Authors: Johnson, E. Alec, Rossmanith, James A.

Subject Terms: Physics - Plasma Physics, 76W05

Access URL: http://arxiv.org/abs/1010.0746

Simulation of Fast Magnetic Reconnection using a Two-Fluid Model of Collisionless Pair Plasma without Anomalous Resistivity

Authors: Johnson, E. Alec, Rossmanith, James A.

Source: Proceedings of the 19th Annual Wisconsin Space Conference (2009)

Subject Terms: Physics - Plasma Physics, Mathematics - Numerical Analysis, 65Z05

Access URL: http://arxiv.org/abs/1010.0222