Combat modeling with partial differential equations: The bidimensional case
- Oak Ridge National Lab., TN (USA)
- Colorado Univ., Boulder, CO (USA)
The system of partial differential equations recently introduced to model combat in one spatial dimension has been extended to include two spatial dimensions and has numerically integrated to demonstrate its capability to describe maneuver. 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. 12 refs., 8 figs.
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- Sponsoring Organization:
- DOD; DOE/DP
- DOE Contract Number:
- AC05-84OR21400
- OSTI ID:
- 5233113
- Report Number(s):
- ORNL/TM-11343; ON: DE90004465
- Country of Publication:
- United States
- Language:
- English
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COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MILITARY STRATEGY
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
WARFARE