We examine the Galilean invariance of standard lattice Boltzmann methods for two-phase fluids. We show that the known Galilean invariant term that is cubic in the velocities, and is usually neglected, is the main source of Galilean invariance violations. We show that incorporating a correction term can improve the Galilean invariance of the method by up to an order of magnitude. Surprisingly in...

In this paper, our aim is to give surfaces in the Galilean 3-space G3 with property that there exist four geodesics through each point such every surface built normal lines and binormal along these a minimal constant negative Gaussian curvature. We show should be an isoparametric G3: A plane or circular hyperboloid.

We study chaos in non-Lorentzian field theories, specifically Galilean and Carrollian conformal theories two dimensions. In a large central charge limit, we find that the Lyapunov exponent saturates bound on chaos, conjectured originally for relativistic theories. recover same holographically by shock-wave calculation three-dimensional flat space cosmologies, providing further evidence holograp...

We argue that the account of Reference Frames quantum properties must change the standard space-time picture accepted in Quantum Mechanics. If RF is connected with some macroscopic solid object then its free quantum motion-wave packet smearing results in additional uncertainty into the measurement of test particle coordinate. It makes incorrect the use of Galilean or Lorentz space-time transfor...

We present a quantum theory of gravity which is in agreement with observation in the relativistic domain. The theory is not relativistic, but a Galilean invariant generalization of Lorentz-Poincare ether theory to quantum gravity. If we apply the methodological rule that the best available theory has to be preferred, we have to reject the relativistic paradigm and return to Galilean invariant e...

Correspondence: [email protected]. edu.cn Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China Abstract Galilean invariance for general conservative finite difference schemes is presented in this article. Two theorems have been obtained for firstand second-order conservative schemes, which demonstrate the necessity conditions for Galilean prese...