Compressible fluid flows driven by stochastic forcing

Decoupling schemes for predicting compressible fluid flows

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the density. An approximate solution of an initial–boundary value problem is calculated using the finite element approximation in space. The fully implicit two–level ...

A linear thermohaline oscillator driven by stochastic atmospheric forcing

The interdecadal variability of a stochastically forced four-box model of the oceanic meridional thermohaline circulation (THC) is described and compared to the THC variability in the coupled ocean-atmosphere GCM of Delworth, Manabe, and Stouffer (1993). The box model is placed in a linearly stable thermally dominant mean state under mixed boundary conditions. A linear stability analysis of thi...

Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows

Causal implications of viscous damping in compressible fluid flows

Classically, a compressible, isothermal, viscous fluid is regarded as a mathematical continuum and its motion is governed by the linearized continuity, Navier-Stokes, and state equations. Unfortunately, solutions of this system are of a diffusive nature and hence do not satisfy causality. However, in the case of a half-space of fluid set to motion by a harmonically vibrating plate the classical...

Adaptive ANOVA decomposition of stochastic incompressible and compressible flows

Article history: Received 4 January 2011 Received in revised form 27 September 2011 Accepted 22 October 2011 Available online 11 November 2011