Results 1 to 10 of about 3,523 (133)

A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation [PDF]

Mathematics, 2021
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discretized heat or diffusion equation. After discretizing the space and the time variables according to conventional finite difference methods, these new methods do not approximate the time derivatives by finite differences, but use a combined two-stage ...
Endre Kovács, Ádám Nagy, Mahmoud Saleh   +2 more
openaire   +4 more sources

Approximation of the solution of the non-stationary equation of heat conductivity by the method of probabilistic continuous asynchronous cellular automats for a one-dimensional case [PDF]

Компьютерные исследования и моделирование, 2012
The solution of problems of heat conductivity by means of a method of continuous asynchronous cellular automats is considered in the article. Coordination of distribution of temperature in a sample at a given time between cellular automat model and the ...
Vladimir Viktorovich Zhуkharevуch, Liliya Mikhajlovna Shumуlyak   +1 more
doaj   +2 more sources

Nonlinear problem of temperature distribution inside the Earth [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика, 2020
The purpose of this research is to obtain a nonlinear heat conduction equation based on the Stefan–Boltzmann law and energy balance to study the temperature distribution inside the Earth, taking into account usual conductivity and radiant heat ...
Davidovich, Mihail Vladimirovich
doaj   +1 more source

Forecast of the thermal regime of an underground storage facility for heat-generating materials under mixed convection conditions [PDF]

Nuclear Energy and Technology, 2021
The paper presents the results of a study based on numerical simulation methods of the thermal regime of an underground facility for long-term spent nuclear fuel storage in the version of a built-in reinforced concrete structure. A multiphysical computer
Pavel V. Amosov
doaj   +3 more sources

Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method

Mathematics, 2022
The applications of the Eikonal and stationary heat transfer equations in broad fields of science and engineering are the motivation to present an implementation, not only valid for structured domains but also for completely irregular domains, of the ...
Jesús Flores, Ángel García, Mihaela Negreanu, Eduardo Salete, Francisco Ureña, Antonio M. Vargas   +5 more
doaj   +1 more source

Solution of nonaxisymmetric stationary problem of heat conductivity for polar-orthotropic ring plate of variable thickness with account of heat transfer with external environment

Журнал Белорусского государственного университета: Математика, информатика, 2020
The solution of the nonaxisymmetric stationary problem of the heat conductivity for profiled polar-orthotropic annular plates considering the heat exchange with external environment through the bases is presented.
Uladzimir V. Korolevich
doaj   +1 more source

Multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model

Comptes Rendus. Mécanique, 2023
In this work, we develop a posteriori error control for a generalized Boussinesq model in which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary Navier–Stokes equations are coupled with a stationary heat equation. The
Beuchler, Sven, Endtmayer, Bernhard, Lankeit, Johannes, Wick, Thomas   +3 more
doaj   +1 more source

The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment

Журнал Белорусского государственного университета: Математика, информатика, 2020
We study the influence of N extended heat sources at external boundaries on the nonaxisymmetric temperature distribution on profiled polar-orthotropic ring plates and take into account heat exchange with the external environment.
Uladzimir V. Karalevich, Dmitrij G. Medvedev   +1 more
doaj   +1 more source

Joint Interpretation Results of Gravitational and Thermal Fields for the Ural Region

Russian Journal of Earth Sciences, 2023
A method for solving conjugation problems for the Poisson equation is implemented, which makes it possible to interpret potential fields (gravitational and stationary thermal fields) based on unified grid algorithms.
Martyshko Pyotr, Ladovskii Igor, Byzov Denis   +2 more
doaj   +1 more source

Study on non-stationary heat exchange in combined packages of water-resistant protective clothing of firefighters

Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2020
The results of research of non-stationary heat exchange in combined packages intended for creation of special water- and heat-resistant protective clothing of firefighters from dangerous and harmful factors during emergency rescue and other urgent works,
A. I. Ol’shanskii, R. V. Okunev, A. M. Gusarov   +2 more
doaj   +1 more source