Results 1 to 10 of about 198 (145)

Temperature Identification in the Structural Elements of Non-Contacting Face Seals by Using Trefftz Functions [PDF]

open access: yesTransactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2014
Phenomena of the heat transfer in non-contacting face seals was described by partial differential equation of the second order and boundary conditions. In this way, the mathematical model was developed for the sealing rings.
Anna PAWIŃSKA, Sławomir BŁASIAK
doaj   +2 more sources

Time-Dependent Heat Transfer Calculations with Trefftz and Picard Methods for Flow Boiling in a Mini-Channel Heat Sink

open access: yesEnergies, 2021
The intensification of heat transfer using two-phase boiling flow in mini-channels is widely used to dissipate the high heat fluxes in miniaturized electronic devices.
Magdalena Piasecka   +3 more
doaj   +1 more source

Development of a two-dimensional mathematical model of flow boiling heat transfer in micro- and minichannels [PDF]

open access: yesEPJ Web of Conferences, 2022
The paper concerns flow boiling heat transfer in micro- and minichannels. In the mathematical model, the steady state heat transfer process in a single asymmetrically heated minichannel was considered.
Hożejowska Sylwia   +2 more
doaj   +1 more source

Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing [PDF]

open access: yesESAIM: Proceedings and Surveys, 2023
Electromagnetic simulations on large domains require a huge memory consumption. Domain decomposition methods, based on Trefftz methods, could be an answer to this issue. In this paper, we associate to heterogeneous three-dimensional Maxwell equations one
Pernet Sebastien   +2 more
doaj   +1 more source

Solution representations for Trefftz-type finite elements

open access: yesComputer Assisted Methods in Engineering and Science, 2023
Solution representations are available for several differential equations. For elasticity problems some of the solution representations are considered in this paper.
Reinhard Piltner
doaj  

On Jirousek method and its generalizations

open access: yesComputer Assisted Methods in Engineering and Science, 2023
Professor Jirousek has been a very important driving force in the modern development of Trefftz method, contributing to its application in many different fields such as elasticity, shells and plates theory, Poisson equation and transient heat analysis ...
Ismael Herrera
doaj  

The derivation of special purpose element functions using complex solution representations

open access: yesComputer Assisted Methods in Engineering and Science, 2023
For several elasticity problems, solution representations for the displacements and stresses are available. The solution representations are given in terms of "arbitrary" complex valued functions.
Reinhard Piltner
doaj  

Trefftz-type procedure for Laplace equation on domains with circular holes, circular inclusions, corners, slits, and symmetry

open access: yesComputer Assisted Methods in Engineering and Science, 2023
The purpose of the paper is to propose of a way of constructing trial functions for the indirect Trefftz method as applied to harmonic problems possessing circular holes, circular inclusions, corners, slits, and symmetry.
Jan A. Kołodziej, Anita Uściłowska
doaj  

Trefftz functions and application to 3D elasticity

open access: yesComputer Assisted Methods in Engineering and Science, 2022
When solving complex boundary value problems, the primary advantage of the Trefftz method is that Trefftz functions a priori satisfy the governing differential equations.
Cheuk-Yu Lee, Qing-Hua Qin, Hui Wang
doaj  

A spacetime collocation Trefftz method for solving the inverse heat conduction problem

open access: yesAdvances in Mechanical Engineering, 2019
In this article, a novel spacetime collocation Trefftz method for solving the inverse heat conduction problem is presented. This pioneering work is based on the spacetime collocation Trefftz method; the method operates by collocating the boundary points ...
Cheng-Yu Ku   +4 more
doaj   +1 more source

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