Finite pointset method (FPM): optimized meshfree solver for airbag deployment simulations

This document provides an outline of the complete numerical scheme of the Finite Pointset Method (FPM), a meshfree general Finite Difference idea to simulate gasdynamics. The method uses a specialized upwind formulation as well as specialized discrete numerical differential operators in order to gain accuracy as well as stability. The scheme is completed by a k-epsilon turbulence model in order to account for viscous effects. Industrially, FPM performs in airbag deployment modelling as a part of full crash simulations in vehicle design and development.