Simulation of red blood cell motion in microvessels using modified moving particle semi-implicit method

Red blood cells (rbcs) are the main cells in human blood, with a main role in the mechanicalproperties of blood as a fluid. several methods have been improved to simulate the mechanical behaviorof rbc in micro-capillaries. since, in microscopic scales, using discrete models is more preferred thancontinuum methods, the moving particle semi-implicit method (mps), which is a recent innovativeparticle based method, can simulate micro-fluidic flows based on navierstokes equations. although, byrecent developments, the mps method has turned into a considerable tool for modeling blood flow inmicro meter dimensions, some problems, such as a commitment to use small time step sizes, still restrictthe method for large models and also for long time simulations. a new modified semi-implicit algorithm isdeveloped and implemented on rbc motion through microvessels, in order to reduce calculation time bymore than a factor of twenty, while the error of position and velocity remains constant. a two-dimensional,parallel plate, fluid flow is simulated based on the proposed method, and the effect of the calculationtime decrement is evaluated. findings indicate a reduction of 90 percent in simulation time comparedto previous studies with the same results. this significant developed method could be applied to rbcinteraction within micro-capillaries and constricted zones in blood flow.