No need for particle tracing: From accumulating fluid properties to novel blood coagulation model in the lattice Boltzmann method

The accumulation of a fluid property from the standpoint of a particle moving with non-steady fluid flow (i.e., platelet/blood-cell damage index in pulsating blood flow) is a challenged computational problem due to the current need for particle-tracing methods. The method we developed (dubbed VPI) enables the approximation of the Lagrangian integral in real-time for any point in space and time for the entire domain and which is easily integrated into the the lattice Boltzmann method. As an illustrative numerical example we applied our method to a blood coagulation model which was shown to accurately capture the coagulation characteristics observed in experiments, and therefore opening a door for more detailed study of systems which are currently hard to study using particle tracing methods.