Motion (physics)

Compressibility

Algorithm

World Wide Web

Engineering

Aerospace engineering

Animation

Applied mathematics

Preprint

Computer graphics (images)

Regularization (linguistics)

Geodesic

Computer science

Backward Euler method

Mathematical optimization

Interpolation (computer graphics)

Dentistry

Thermodynamics

Physics

Calculus (dental)

Mathematics

Mathematical analysis

Artificial intelligence

Euler equations

Numerical analysis

Mathematical economics

Medicine

Mechanics

Numerische Mathematik

Starting from Brenier’s relaxed formulation of the incompressible Euler equation in terms of geodesics in the group of measure-preserving diffeomorphisms, we propose a numerical method based on Sinkhorn’s algorithm for the entropic regularization of optimal transport. We also make a detailed comparison of this entropic regularization with the so-called Bredinger entropic interpolation problem (see Arnaudon et al. in An entropic interpolation problem for incompressible viscid fluids, 2017, arXiv preprint arXiv:1704.02126 ). Numerical results in dimension one and two illustrate the feasibility of the method.

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm