Prediction of Moments in the Particles on Demand Method for LBM

PonD is a method to extend LBM calculations to arbitrary ranges of Mach number and temperature. The current work was motivated by the issue of mass, mo-mentum and energy conservation in the PonD method for LBM. The collision guar-antees their conservation, thus, the study involves all aspects of the streaming step: both coordinate and velocity space discretizations, gauge transfer method, resolution of the scheme implicitness. After obtaining the expressions for the change of moments in the system in a time update of the scheme, it was found that the scheme can be for-mulated as explicit in some cases. Thus, we found the sufficient conditions to make Pond/RegPonD computations explicit and mass, momentum, and energy conserving. The scheme was implemented in the explicit form, and validated for several test cases.