2 papers
physics.flu-dyn2025
Direct numerical simulations of the supersonic Taylor--Green vortex via the Boltzmann equation
Tarik Dzanic, Will Trojak, Luigi Martinelli
We explore the dynamics of the three-dimensional compressible Taylor--Green vortex from the perspective of kinetic theory by directly solving the six-dimensional Boltzmann equation…
math.NA2025
High-order limiting methods using maximum principle bounds derived from the Boltzmann equation I: Euler equations
Tarik Dzanic, Luigi Martinelli
The use of limiting methods for high-order numerical approximations of hyperbolic conservation laws generally requires defining an admissible region/bounds for the solution. In thi…