Numerical simulation of nea-bottom parts of a tornado and a tropical cyclone in a stationary case

The paper presents mathematical and numerical simulation of gas flow in the nea-bottom part of a tornado. The simulation allows calculating the kinetic energy of a whirlwind. The paper describes the statement of a problem and theorems about necessary and sufficient conditions for solution to the considered problem. The work presents a mathematical method for determining gas dynamic parameters, develops a numerical method for determining gas dynamic parameters of a flow and kinetic energy for different tornado types according to Fujita scale. Efficient algorithms for finding radius of inflow and kinetic energy of ascending swirling flows are implemented. A number of computational experiments are conducted to simulate stationary gas current in the bottom part of a flow formed from the Earth’s surface. The kinetic energy of a whirlwind is calculated for the presented computational experiments. The values of the kinetic energy of the flow can be used to cope with natural hazards which make the theoretical study of tornado flows highly relevant and useful.