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math.AP2024
The equations of extended magnetohydrodynamics
Christophe Cheverry, Nicolas Besse
Extended magnetohydrodynamics (XMHD) is a fluid plasma model generalizing ideal MHD by taking into account the impact of Hall drift effects and the influence of electron inertial e…
math.NA2024
Novel spectral methods for shock capturing and the removal of tygers in computational fluid dynamics
Sai Swetha Venkata Kolluru, Nicolas Besse, Rahul Pandit
Spectral methods yield numerical solutions of the Galerkin-truncated versions of nonlinear partial differential equations involved especially in fluid dynamics. In the presence of…