3 papers
physics.flu-dyn2025
Ideal incompressible axisymmetric MHD: Uncovering finite-time singularities
Venkata Sai Swetha Kolluru, Rahul Pandit
We provide compelling numerical evidence for the development of (potential) finite-time singularities in the three-dimensional (3D) axisymmetric, ideal, incompressible magnetohydro…
physics.flu-dyn2024
Early-time resonances in the three-dimensional wall-bounded axisymmetric Euler and related equations
Sai Swetha Venkata Kolluru, Rahul Pandit
We investigate the complex-time analytic structure of solutions of the 3D-axisymmetric, wall-bounded, incompressible Euler equations, by starting with the initial data proposed in…
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…