Realization of the finite mass method

Abstract

The finite mass method, a new Lagrangian method for the numerical simulation of gas flow, is presented. The finite mass method is founded on a discretization of mass, not of space. Mass is subdivided into small mass packets. These mass packets move under the influence of internal and external forces. The right-hand sides of the differential equations governing the motion of the particles are integrals which cannot be evaluated exactly. A Lagrangian discretization of these integrals will be presented that maintains the invariance and conservation properties of the method. An efficient way to implement and parallelize the method is discussed. © Springer-Verlag Berlin Heidelberg 2002.