The article discusses modeling procedures to capture the physical and chemical processes present in operational measurement with a high-precision inductive flowmeter. In this context, theoretical model numerical solution are proposed. Exploiting combined finite element method (FEM) volume (FVM), we prepared models of multiple variants flowmeter computed output voltage on device's electrodes. jo...

This paper focuses on the thermal modelling of power transformers using physics-informed neural networks (PINNs). PINNs are trained to consider physical laws provided by general nonlinear partial differential equations (PDEs). The PDE considered for study transformer’s behaviour is heat diffusion equation with boundary conditions given ambient temperature at bottom and top-oil top. model one di...

Recently, many successful methods have been developed to achieve analytical solutions of nonlinear partial differential equations. In this study, some new exact the non-linear coupled Klein- Gordon system and modified Benjamin-Bona-Mahony equation obtained by using functional variable method (FVM). Additionally, all examined three dimensional graphics drawn Mathematica program. These equations ...

The objective of the present paper is to revisit two well-known wind gust injection methods in a consistent manner and assess their performance based on different application cases. These are field velocity method (FVM) split (SVM). For this purpose, both consistently derived pointing out link Arbitrary Lagrangian Eulerian formulation geometric conservation law. Furthermore, differences between...

The Multi-Level Monte Carlo finite volumes (MLMC-FVM) algorithm was shown to be a robust and fast solver for uncertainty quantification in the solutions of multi-dimensional systems of stochastic conservation laws. A novel load balancing procedure is used to ensure scalability of the MLMC algorithm on massively parallel hardware. We describe this procedure together with other arising challenges...

The magnetohydrodynamic (MHD) is the study of the interaction of electrically conducting fluids and electromagnetic fields. This paper presents the numerical modelling of the coupling electromagnetichydrodynamic phenomena using the Finite volume Method (FVM) in cylindrical coordinate and the stream vorticity formulation ξ, ψ in two-dimensional in an annular induction MHD pump. The magnetic indu...