Spectral-infinite-element simulations of gravity anomalies

Spectral Element Simulations of Laminar Diffusion

Spectral element simulations of buoyancy-driven flow

This paper is divided in two parts. In the first part, a brief review of a spectral element method for the numerical solution of the incompressible Navier-Stokes equations is given. The method is then extended to compute buoyant flows described by the Boussinesq approximation. Free convection in closed two-dimensional cavities are computed and the results are in very good agreement with the ava...

Spectral-element simulations of wave propagation in porous media

S U M M A R Y We present a derivation of the equations describing wave propagation in porous media based upon an averaging technique which accommodates the transition from the microscopic to the macroscopic scale. We demonstrate that the governing macroscopic equations determined by Biot remain valid for media with gradients in porosity. In such media, the well-known expression for the change i...

Anomalies and gravity

Anomalies can be viewed as a breaking of some Noether symmetry through the effects of the vacuum. In relativistic quantum field theory (QFT), such a (classical) symmetry is broken by field quantization, cf. Refs [20, 7, 51] for recent reviews. This has important implications on such physical processes as the decay of the neutral π-meson [6], induced instanton effects [43], or underlies the post...

A Least Squares Spectral Element Method for Incompressible Flow Simulations