Mathematical Theory of Powerful Tornadoes in the Atmosphere

Gavrikov, M. B.; Taiurskii, A. A.

doi:10.1088/1742-6596/1640/1/012002

Cited by 1 publication

(4 citation statements)

References 17 publications

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“…According to some scientists [19,20], a tornado is a dangerous natural event that occurs on an insignificant scale and persists for only a few minutes. Assuming that 𝑦 + 𝑦 𝑡 = 𝑟 , 𝑥 = 𝑥 𝑡 = 𝑟 𝜔𝑡, and 𝑥 = 𝑦 = 𝑧 = 𝑟 𝜔, 𝑟 is so small at a very short time, we get Eqs.…”

Section: Tornado Mathematical Modelmentioning

confidence: 99%

“…In the present research, we generated a model utilizing computational modeling that numerous researchers have performed on tornado characteristics [20,21,10,11]. In this research, Eqs.…”

Section: Tornado Simulation Using Numerical Modelingmentioning

confidence: 99%

“…Tornadoes, which divert airflow from all directions, need the Coriolis force to circulate. As a result, hurricanes hardly form in tropical areas and never cross the Equator [19][20][21]. This study gives a simple 2D and 3D model for generating a tornado-like vortex utilizing an advanced model and computation using tensor analysis reported by various researchers [20,22].…”

Section: Introductionmentioning

confidence: 99%

“…As a result, hurricanes hardly form in tropical areas and never cross the Equator [19][20][21]. This study gives a simple 2D and 3D model for generating a tornado-like vortex utilizing an advanced model and computation using tensor analysis reported by various researchers [20,22]. The scientific application of this finding is that researchers at the Meteorology, Climatology, and Geophysics Agency will be able to analyze a tornado and geophysical phenomena more readily with simulations and models [5,23].…”

Section: Introductionmentioning

confidence: 99%

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Tensor analysis of tornadoes: a new analytical and numerical model

Maulani,

Putra

2024

Math. models, eng.

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This research proposes a new mathematical formulation of tornadoes based on the theory of tensor analysis and simulation in a non-inertial dynamics framework, both in two and three dimensions. This model may show the spherical upward movement of air in a tornado without taking into account vertical convection. A tornado requires several elements, including geocentric latitude, the Coriolis effect, increased airspeed in the upper atmosphere, and increased air pressure. Computing the three-dimensional location of the tornado or hurricane, as well as the mathematical models of airflow motion and the Earth's rotation in three-dimensional (3D) space, can determine a tornado's airflow characteristics. To show tornado patterns, we employed computer software that computed motion dynamics and did numerical computations. The results of 2-D modeling and simulation indicated that the greater the initial tornado angular speed, the larger the tornado area. Three-dimensional modeling and simulation also show that tornadoes are more powerful at higher geocentric latitude angles. The novelty of this study is that this model can be used to explain tornado patterns. In our research, we combine tensor analysis, computational modeling, as well as 2D and 3D simulations for simulating tornadoes for the first time. The scientific application of this finding is that researchers at the Meteorology, Climatology, and Geophysics Agency will be able to analyze a tornado and geophysical phenomena more readily with simulations and models.

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Section: Tornado Mathematical Modelmentioning

confidence: 99%

“…In the present research, we generated a model utilizing computational modeling that numerous researchers have performed on tornado characteristics [20,21,10,11]. In this research, Eqs.…”

Section: Tornado Simulation Using Numerical Modelingmentioning

confidence: 99%