Work

An optimal-transport finite-particle method for driven mass diffusion

Year: 2025

Type: article

Abstract: We formulate a finite-particle method of mass transport that accounts for general mixed boundary conditions. The particle method couples a geometrically-exact treatment of advection; Wasserstein gradient-flow dynamics; and a Kullback–Leibler representation of the entropy. General boundary conditions are enforced by introducing an adsorption/depletion layer at the boundary wherein particles are added or removed as dictated by the boundary conditions. We demonstrate the range and scope of the method through a number of examples of application, including absorption of particles into a sphere and flow through pipes of square and circular cross section, with and without occlusions. In all cases, the solution is observed to converge weakly, or in the sense of local averages.

Source: Computer Methods in Applied Mechanics and Engineering

DOI: 10.1016/j.cma.2025.118013

Authors: A. Pandolfi, I. Romero, M. Ortiz

Institutions: Politecnico di Milano, IMDEA Materials, Universidad Politécnica de Madrid, California Institute of Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,830

Funders: Deutsche Forschungsgemeinschaft, Ministerio de Ciencia e Innovación, Gruppo Nazionale per la Fisica Matematica