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ADAPTIVE SOLUTION OF THE NEUTRON DIFFUSION EQUATION WITH HETEROGENEOUS COEFFICIENTS USING THE MIXED FINITE ELEMENT METHOD ON STRUCTURED MESHES [PDF]

open access: yesEPJ Web of Conferences, 2021
The neutron transport equation can be used to model the physics of the nuclear reactor core. Its solution depends on several variables and requires a lot of high precision computations.
Do Minh-Hieu   +2 more
doaj   +1 more source

Experimental study of the coefficients of the Forchheimer-Ergun equation for the forced flow of hot water in a layer of spherical particles [PDF]

open access: yesE3S Web of Conferences, 2023
The paper presents the results of an experimental study of the coefficients of the Forchheimer-Ergun equation for the forced flow of hot water with temperatures up to 175ºC through a layer of spherical particles.
Tairov Emir, Safarov Alexey, Khan Polina
doaj   +1 more source

On the Exact Evaluation of Integrals of Wavelets

open access: yesMathematics, 2023
Wavelet expansions are a powerful tool for constructing adaptive approximations. For this reason, they find applications in a variety of fields, from signal processing to approximation theory.
Enza Pellegrino   +2 more
doaj   +1 more source

An adaptive least-squares algorithm for the elliptic Monge–Ampère equation

open access: yesComptes Rendus. Mécanique, 2023
We address the numerical solution of the Dirichlet problem for the two-dimensional elliptic Monge–Ampère equation using a least-squares/relaxation approach.
Caboussat, Alexandre   +2 more
doaj   +1 more source

A Feature-Extraction-Based Adaptive Refinement Method for Solving the Reynolds Equation in Piston–Cylinder System

open access: yesLubricants, 2023
A fast local refinement algorithm based on feature extraction is developed. In the mesh-based Reynolds equation solutions, two refinement features based on the physical parameters of fluid lubrication are firstly defined, namely, pressure value feature ...
Jiashu Yang   +3 more
doaj   +1 more source

Extended accelerated overrelaxation iteration techniques in solving heat distribution problems [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
Several stationary iteration techniques for numerical solutions to special systems of linear equation systems of the form 𝒜𝑢 = 𝑏 have been studied in an attempt to improve their convergence, suitability, and strength.
Khadeejah James Audu
doaj   +1 more source

Flow stress prediction using hyperbolic-sine Arrhenius constants optimised by simple generalised reduced gradient refinement

open access: yesJournal of Materials Research and Technology, 2020
The generalised reduced gradient refinement was applied to optimise the constitutive constants obtained from hyperbolic-sine Arrhenius equation when describing the flow stress of two titanium alloys subjected to hot compression testing.
Michael Oluwatosin Bodunrin
doaj   +1 more source

Simulation of Mechanical Response in Machining of Ti-6Al-4V Based on Finite Element Model and Visco-Plastic Self-Consistent Model

open access: yesMetals, 2023
The predictions of mechanical responses (stress–strain variations) in the machining of Ti-6Al-4V alloy are important to analyze the deformation conditions of machining to optimize the machining parameters and investigate the generation of a machined ...
Qingqing Wang   +3 more
doaj   +1 more source

Generalized Refinement of Gauss-Seidel Method for Consistently Ordered 2-Cyclic Matrices

open access: yesAbstract and Applied Analysis, 2021
This paper presents generalized refinement of Gauss-Seidel method of solving system of linear equations by considering consistently ordered 2-cyclic matrices.
Gashaye Dessalew   +3 more
doaj   +1 more source

Calculation of CO2 P-ρ-T properties in the temperature range from T = 400 K to T = 1700 K

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2023
Сalculation of the carbon dioxide state equation isotherms in the temperature range from T = 400 K to T = 1700 K is presented. Implemented calculation method is a refinement of the previously proposed approach based on the fractal state equation and ...
R.A. Magomedov, E.N. Akhmedov
doaj   +1 more source

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