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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2025 Volume 29, Number 4, Pages 712–725 (Mi vsgtu2262)

Mathematical Modeling, Numerical Methods and Software Complexes

Mathematical and computational modeling of positive and negative ground effect in aerohydrodynamics

A. V. Fevralskih

Moscow Aviation Institute (National Research University), Moscow, 125993, Russian Federation

Abstract: The aerohydrodynamic ground effect, manifested through changes in forces acting on an object moving near a boundary between media, is widely recognized in various transport systems. The positive ground effect is traditionally associated with an increase in the normal component of the aerohydrodynamic force (lift force). This phenomenon finds its most significant application in the development of WIG craft (Wing-in-Ground effect craft)—high-speed amphibious vehicles that utilize increased wing lift when approaching the interface surface. Alongside the positive effect, there exists the possibility of a reverse (negative) ground effect, where lift force decreases as the object approaches the boundary.
The aim of this study is to develop a mathematical model for determining the nature of ground effect influence on wing aerodynamic characteristics, and to create a numerical simulation algorithm for viscous turbulent flow that accounts for ground effect, intended for digital support of vehicle life cycle processes.
This paper presents the following main results: classification of ground effect types on various technical objects; a mathematical model serving as a criterion for determining ground effect characteristics; numerical simulation results of ground effect aerodynamics on a lifting surface with analysis of various ground influence cases. The reliability of the proposed criterion is verified by numerical simulation results.

Keywords: ground effect, reverse ground effect, aerohydrodynamics, mathematical model, numerical simulation, ground influence criterion, lift force, Wing-in-Ground effect craft

UDC: 533.682:519.635.8

MSC: 76G25, 76M12, 65M08

Received: July 17, 2025
Revised: September 11, 2025
Accepted: October 20, 2025
First online: November 21, 2025

DOI: 10.14498/vsgtu2262



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