A Simple Model for Simulating Tornado Damage in Forests

Abstract An analytical model is presented to describe patterns of downed trees produced by tornadic winds. The model uses a combined Rankine vortex of specified tangential and radial components to describe a simple tornado circulation. A total wind field is then computed by adding the forward motion of the vortex. The lateral and vertical forces on modeled tree stands are then computed and are compared with physical characteristics of Scots and loblolly pine. From this model, patterns of windfall are computed and are compared to reveal three basic damage patterns: cross-track symmetric, along-track asymmetric, and crisscross asymmetric. These patterns are shown to depend on forward speed, radial speed, and tree resistance. It is anticipated that this model will prove to be useful in assessing storm characteristics from damage patterns observed in forested areas.

[1]  V. Baldwin Green and Dry-Weight Equations for Above-ground Components of Planted Loblolly Pine Trees in the West Gulf Region , 1987 .

[2]  J. Monteith,et al.  Principles of Environmental Physics , 2014 .

[3]  C. Mattheck,et al.  The body language of trees : a handbook for failure analysis , 1996 .

[4]  Roy L. Hedden,et al.  Testing loblolly pine wind firmness with simulated wind stress , 1993 .

[5]  J. A. Petty,et al.  Factors influencing stem breakage of conifers in high winds , 1985 .

[6]  Donald W. Burgess,et al.  Doppler Spectra and Estimated Windspeed of a Violent Tornado , 1985 .

[7]  M. Cannell,et al.  Shape of tree stems-a re-examination of the uniform stress hypothesis. , 1994, Tree physiology.

[8]  Richard E. Peterson,et al.  Johannes Letzmann: A Pioneer in the Study of Tornadoes , 1992 .

[9]  H. Peltola,et al.  A mechanistic model for calculating windthrow and stem breakage of Scots pines at stand age. , 1993 .

[10]  H. Peltola,et al.  Model computations on the critical combination of snow loading and windspeed for snow damage of scots pine, Norway spruce and Birch sp. at stand edge , 1997 .

[11]  R. Trapp,et al.  Damaging Surface Wind Mechanisms within the 10 June 2003 Saint Louis Bow Echo during BAMEX , 2005 .

[12]  Green and Dry-Weight Equations for Above-ground Components of Planted Loblolly Pine Trees in the , 1987 .

[13]  B. Gardiner,et al.  Field and wind tunnel assessments of the implications of respacing and thinning for tree stability , 1997 .

[14]  Neil B. Ward,et al.  The Exploration of Certain Features of Tornado Dynamics Using a Laboratory Model , 1972 .

[15]  H. Peltola,et al.  A mechanistic model for assessing the risk of wind and snow damage to single trees and stands of Scots pine, Norway spruce, and birch , 1999 .

[16]  J. Turner The constraints imposed on tornado-like vortices by the top and bottom boundary conditions , 1966, Journal of Fluid Mechanics.

[17]  Christopher C. Weiss,et al.  Mobile Doppler Radar Observations of a Tornado in a Supercell near Bassett, Nebraska, on 5 June 1999. Part II: Tornado-Vortex Structure , 2003 .

[18]  John L. Monteith,et al.  Plant Response to Wind. , 1979 .

[19]  C. Wood,et al.  Wind and Trees: Understanding wind forces on trees , 1995 .

[20]  Swarndeep Gill,et al.  Finescale Radar Observations of the Dimmitt, Texas (2 June 1995), Tornado , 2000 .

[21]  H. R. Oliver,et al.  Wind Measurements in a Pine Forest During a Destructive Gale , 1974 .

[22]  Roy L. Hedden,et al.  Modeling the effect of crown shedding and streamlining on the survival of loblolly pine exposed to acute wind , 1995 .

[23]  Heli Peltola,et al.  Model computations on wind flow and turning moment by wind for Scots pines along the margins of clear-cut areas , 1996 .