2016/10/17 by Daniel Duque, Duque, Daniel, Pep Español +1
Computer Science · Engineering · Physics and Astronomy · #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1610.05258
Draft article
arxiv created 2016/10/17 · openalex publication_date 2016/10/17 · arxiv updated 2016/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In Computational Fluid Dynamics there have been many attempts to combine the power of a fixed mesh on which to carry out spatial calculations with that of a set of particles that moves following the velocity field. These ideas indeed go back to Particle-in-Cell methods, proposed about 60 years ago. Of course, some procedure is needed to transfer field information between particles and mesh. There are many possible choices for this "assignment", or "projection". Several requirements may guide this choice. Two well-known ones are conservativity and stability, which apply to volume integrals of the fields. An additional one is here considered: preservation of information. This means that mesh interpolation, followed by mesh assignment, should leave the field values invariant. The resulting methods are termed "mass" assignments due to their strong similarities with the Finite Element Method. We test several procedures, including the well-known FLIP, on three scenarios: simple 1D convection, 2D convection of Zalesak's disk, and a CFD simulation of the Taylor-Green periodic vortex sheet. The most symmetric mass assignment is seen to be clearly superior to other methods.