We present a GPU-accelerated method for large scale, coupled incompressible fluid flow and heat transfer problems. A high-order, nodal discontinuous Galerkin is utilized to discretize governing equations on unstructured triangular meshes. semi-implicit scheme with explicit treatment of the advective terms implicit split Stokes operators are used time discretization. The pressure system solved c...

Operator splitting time discretization techniques are getting more and more popular for the numerical simulation of non-linear problems in porous media. The main idea is to split complex operators in evolution equations into simpler ones which are successively solved in each time step. For porous media flow a natural splitting is given by the diffusive and the advective part of the flux. Then f...

This paper re-examines a basic test case used for spherical shallow-water numerical models, and underscores the need for accurate, high resolution models of atmospheric and ocean dynamics. The Rossby–Haurwitz test case, first proposed by Williamson et al. [D.L. Williamson, J.B. Drake, J.J. Hack, R. Jakob, P.N. Swarztrauber, A standard test set for numerical approximations to the shallow-water e...

The purpose of this paper is to ascertain the cost-eeectiveness of semi-Lagrangian advection schemes for a wide variety of geophysical ows at all scales. Our approach is rst, to determine the minimum computational overhead associated with these schemes and then, to examine temporal variability in the Lagrangian and Eulerian frames by employing simple turbulent cascade phenomenologies. The goal ...

This study describes an approach for measuring and modelling diffusive and advective transport of radon through building materials. The goal of these measurements and model calculations is to improve our understanding concerning the factors influencing the transport of radon through building materials. To reach this goal, a number of experiments have to be conducted. These experiments, includin...

This note details the derivation of the generalized advective-diffusive equation system for the 2D space-time incompressible Navier-Stokes governing equations, in conservation form.

which are difficult to relate to possible exploration Active circulation of cool groundwater in mountainous terrain can cause an advective disturbance of the thermal regime. This factor complicates interpretatiort of data collected in geothermal exploration programs. An isothermal free-surface model has been developed which provides qualitative insight into the nature of an advective disturbanc...

Abstract. Advection of trace species, or tracers, also called tracer transport, in models the atmosphere and other physical domains is an important potentially computationally expensive part a model's dynamical core. Semi-Lagrangian (SL) advection methods are efficient because they permit time step much larger than advective stability limit for explicit Eulerian without requiring solution globa...

A theoretical investigation of factors affecting the gas phase transport of evaporating organic liquids in the unsaturated zone is presented. Estimates of density-dfiven advective gas flow using a simple analytic expression indicate that significant advective gas flow will result from the evaporation of volatile liquids in soils having a high permeability. Numerical simulations using a two-dime...