Modified Potential Flow Modeling Of Density Stratified Atmospheric Flow Around Terrain Obstacles ? Introduction

Low Froude Number (Fr) theory* predicts that stably-stratified fl& around a terrain obstacle will divide into a lower layer passing essentially horizontally around the obstacle and an upper layer passing essentially over the obstacle. The prediction was formulated by Sheppard (1956) and Drazin (1961) and confirmed experimentally in the towing tank model d experiments of Hunt et a1 (1978) and the atmospheric full scale experiments of the US EPA Complex Terrain Model Development Program (1982- 1985). The US EPA Complex Terrain Dispersion Model, currently under development, employs the layering principle with the flow in each layer calculated independently by potential flow (PF) theory after the layer thicknesses are established according to a simple function of Fr, i.e., Hc /H = 1 - Fr where Hc is the dividing streamline freight and E is the obstacle height. Use of PF theory in the CTDM is attractive because numerical solutions can be obtained simply and economically, as compared to lengthy Navier-Stokes (N-S) solutions, but realism is sacrificed in creating a surface of discontinuity between the tm layers and eliminating the effects of shear and gravity in each layer.