27 citations · 31 across the 18 of their papers we have counts for
3 papers · 1 filter
Benchmark cases for gradient-based optimization in linear elastic solid mechanics using lattice Boltzmann methods
Johannes L. Grafen, Florian Kaiser, Stephan Simonis +2
Gradient-based optimization (GBO) of problems constrained by partial differential equations is central to parameter identification and structural design in solid mechanics. Lattice…
Computing statistical Euler limits of the Navier--Stokes equations in three dimensions
Johannes L. Grafen, Tobias Rohner, Stephan Simonis
We develop a Monte Carlo lattice Boltzmann method to compute statistical solutions to the three-dimensional incompressible Navier--Stokes and Euler equations. Entropic space-time a…
Computing statistical solutions of a Mach 2000 astrophysical jet
Stephan Simonis, Gauthier Wissocq
The multi-dimensional compressible Euler equations admit non-unique entropy solutions in turbulent regimes, and extreme-Mach astrophysical flows are a natural setting in which this…