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The particles on demand (PonD) method is a new kinetic theory model thatallows for simulation of high speed compressible flows. While standardLattice-Boltzmann is limited by a fixed reference frame, significantly reducingthe range of applicable of Mach numbers, PonD takes advantage of adaptivereference frames to get rid of the restrictions of standard LB and is able tosimulate flows at high speeds and with large temperature gradients. Previously,PonD has been shown to be a viable alternative for simulation of flows withstrong discontinuities and for detonation modelling. However, treatment offlows with complex boundaries has been lacking. Here, we present PonD augmentedwith a non-equilibrium extrapolation based boundary condition. We presentseveral compressible test cases such as shock-vortex interaction in theSchardin's Problem and supersonic flow over a two-dimensional cylinder at Machnumbers up to 5. We observe that the results agree well with literature, pavingthe way for a kinetic theory based approach for simulating compressible flowsin realistic scenarios.

High speed flows with Particles on Demand: Boundary Conditions