in the present work, a meshless method called finite point method (fpm) is developed to simulate the solidification process of a continuously cast steel bloom in both primary and secondary cooling regions. the method is based on the use of a weighted least-square interpolation procedure. a transverse slice of the bloom moving at casting speed is considered as the computational domain and two di...

Here, recent developments in the key numerical approaches to water hammer modelling are summarized and critiqued. This paper summarizes one-dimensional using finite difference method (FDM), of characteristics (MOC), especially more volume (FVM). The discussion is briefly extended two-dimensional modelling, as well computational fluid dynamics (CFD) approaches. Finite methods particular note, si...

Technology computer-aided design (TCAD) semiconductor device simulators solve partial differential equations (PDE) using the finite volume method (FVM), or related methods. While this approach has been in use over several decades, its methods continue to be extended, and are still applicable for investigating novel devices. In article, we present an element edge based (EEB) FVM discretization s...

This paper presents the development of an algorithm based on the discontinuous Galerkin finite element method (DGFEM) for the Euler equations of gas dynamics. The DGFEM is a mixture of a finite volume and finite element method. In the DGFEM the unknowns in each element are locally expanded in a polynomial series and thus the information about the flow state at the element faces can be directly ...

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...

As part of the Sloshing Wing Dynamics H2020 EU project, an experimental campaign was conducted to study slosh-induced damping in a vertically excited tank filled with liquid water or oil and air. In this work, we simulate these experiments using two numerical approaches. First, single-phase, weakly compressible model is used, gas flow (air) not modeled. For approach, proven Smoothed Particle Hy...

Variabilities in polyamide 6 (PA6) composite manufacturing by liquid processes can occur due to polymerization, crystallization, and flow through a fibrous preform. Numerical simulations of the process predicting kinetics facilitate optimization. This study proposes an efficient modeling approach that be integrated current simulation discretization methods such as finite volume method (FVM) whi...

The numerical simulation of multiphysics problems has grown steadily in recent years. This development is due to both the permanent increase of IT resources and the considerable progress made in modeling, mathematical and numerical analysis of many problems in fluid and solid mechanics. The phenomena related to fluid/structure mechanical coupling occurs in many industrial situations, and the in...

Crack growth analysis has remained one of the challenging problems in the fracture mechanics of structures. On the other hand, the fatigue crack growth is a common phenomenon in the components of structures like airplanes, navies and fluid storages where the fracture due to crack should be considered in the design of these structures. In this paper, the finite volume method (FVM) is extended fo...

in this paper, convection heat transfer of al2o3-water nanofluid turbulent flow through internally ribbed tubes with different rib shapes (rectangular, trapezoidal and semi-circular) is numerically investigated. for each rib shape, the optimum geometric ratio and volume fraction were calculated using entropy generation minimization technique. the governing equations in steady state and axisymme...