# High-order semi-Lagrangian kinetic scheme for compressible turbulence.

@article{Wilde2021HighorderSK, title={High-order semi-Lagrangian kinetic scheme for compressible turbulence.}, author={Dominik Wilde and Andreas Kr{\"a}mer and Dirk Reith and Holger Foysi}, journal={Physical review. E}, year={2021}, volume={104 2-2}, pages={ 025301 } }

Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Courant-Friedrichs-Lewy condition severely restricts the maximum time-step size. Exploiting the Lagrangian nature of the Boltzmann equation's material derivative, we now introduce a feasible three-dimensional semi-Lagrangian lattice Boltzmann method (SLLBM), which circumvents this restriction. While many lattice…

## 3 Citations

### Cubature rules for weakly and fully compressible off-lattice Boltzmann methods

- PhysicsJ. Comput. Sci.
- 2021

### Regularization and the particles-on-demand method for the solution of the discrete Boltzmann equation

- PhysicsJ. Comput. Sci.
- 2021

### Particles on demand for flows with strong discontinuities.

- PhysicsPhysical review. E
- 2022

Particles-on-demand formulation of kinetic theory [B. Dorschner, F. Bösch and I. V. Karlin, Phys. Rev. Lett. 121, 130602 (2018)0031-900710.1103/PhysRevLett.121.130602] is used to simulate a variety…

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