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Mathematical Descriptions of Offensive Combat Maneuvers

Technical Report ·
DOI:https://doi.org/10.2172/6641834· OSTI ID:6641834

Mathematical descriptions of several forms of offensive maneuvers have been calculated using a recently developed two-dimensional nonlinear partial differential equation (PDE) model for describing conflict between opposing forces. Engagement scenarios wherein the attacking force(s) employs the frontal attack, turning movement, envelopment, or infiltration against a fixed defensive force are presented for various combinations of troop and firepower ratios. The time and spatial distributions of the forces are displayed in graphical form along with approximate attrition rates as a function of battle duration. The results establish that the PDE formalism replicates these maneuver forms within the constraints and present development of the model. 7 refs., 8 figs.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-00OR22725
OSTI ID:
6641834
Report Number(s):
ORNL/TM-11000
Country of Publication:
United States
Language:
English