# Development of the meshless finite volume particle method with exact and efficient calculation of interparticle area

@article{Quinlan2014DevelopmentOT, title={Development of the meshless finite volume particle method with exact and efficient calculation of interparticle area}, author={Nathan J. Quinlan and Libor Lobovsk{\'y} and Ruairi M. Nestor}, journal={Comput. Phys. Commun.}, year={2014}, volume={185}, pages={1554-1563} }

Abstract The Finite Volume Particle Method (FVPM) is a meshless method based on a definition of interparticle area which is closely analogous to cell face area in the classical finite volume method. In previous work, the interparticle area has been computed by numerical integration, which is a source of error and is extremely expensive. We show that if the particle weight or kernel function is defined as a discontinuous top-hat function, the particle interaction vectors may be evaluated exactly… CONTINUE READING

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