Abstract: Using first principles, it is shown that the vertical variation of the mixing ratio can be approximated by a power law if the relative humidity is also expressed in terms of a power law. Nevertheless, variability in the ...

Abstract: In this study high-order, high-pass implicit filters are introduced. They represent symmetric filters in an implicit formulation. In this investigation their use within a finite region is examined. The effects of the ...

Abstract: Equations describing the temporal and spatial behavior of the kinematic moisture and heat flux are introduced in this study. In these nonlinear equations, the contribution by diabatic processes to the large-scale flux is ...

Abstract: Applications of low-pass filters or implicit diffusion are found to be extremely beneficial in a simple model problem that contains an oven-ordered advection scheme based on a symmetric stencil. In contrast, the effects ...

Abstract: This study introduces a moisture advection formulation that contains relative humidity. In the sigma coordinate system, rewriting the mixing ratio conservation equation in terms of relative humidity leads to an equation ...

Abstract: Comparisons are made between hydrostatically computed temperatures and ambient temperatures associated with nine different data sources, including analyses, forecasts and conventional observations. Five-day averages and ...

Abstract: In this study the individual components of the horizontal moist wind are derived and expressed as a function of the horizontal pressure gradients. The drag on the large-scale horizontal wind by mesoscale diabatic activity ...

Abstract: High-order implict tangent filters are developed. The implicit tangent filters possess a highly selective amplitude response function and they can be applied relatively close to a boundary. Comparisons are made between the ...

Abstract: The Galerkin method is used to solve numerically the nonlinear initial-boundary value problem describing the vertical temperature profile for a thermally coupled soil-atmosphere boundary layer in a simple physical setting. ...

Abstract: A dissipative Galerkin procedure is used to solve two hyperbolic problems on an irregular or variable grid. Both forced wave motions (Gaussian) and boundary induced wave propagations are considered. It is shown that results ...