Mathematical analysis for simulation of incompressible fluid flow

Detalhes bibliográficos
Autor(a) principal: Santos, Rômulo Damasclin Chaves dos
Data de Publicação: 2023
Outros Autores: Sales, Jorge Henrique de Oliveira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: The Journal of Engineering and Exact Sciences
Texto Completo: https://periodicos.ufv.br/jcec/article/view/17392
Resumo: The omnipresence and complexity of physical phenomena drive the strong search for tools capable of simulating them, since many applications require computationally viable, reliable and, preferably, low-cost simulations. Thus, a priori, this work has two objectives: i) understand the theoretical foundations of fluid dynamics with an important computational method aimed at simulating incompressible flows, called SPH (Smoothed Particle Hydrodynamic), which will subsequently be implemented; and ii) assist in the consolidation and application of key concepts in mathematical analysis for computer simulation. Our efforts in this work provide mathematical foundations, which in turn, describe the dynamics of fluid dynamic motion.
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spelling Mathematical analysis for simulation of incompressible fluid flowArtículo Análisis matemático para simulación de flujo de fluido incompresible.Article Analyse mathématique pour la simulation de l'écoulement d'un fluide incompressibleAnálise matemática para simulação de escoamento de fluidos incompressíveisComputational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation. Dinâmica dos Fluidos Computacional. Equações de Navier-Stokes. Simulação SPH.Dinámica de fluidos computacional.Ecuaciones de Navier-Stokes.Simulación SPH.Dynamique des fluides computationnelle.Équations de Navier-Stokes.Simulation SPH.The omnipresence and complexity of physical phenomena drive the strong search for tools capable of simulating them, since many applications require computationally viable, reliable and, preferably, low-cost simulations. Thus, a priori, this work has two objectives: i) understand the theoretical foundations of fluid dynamics with an important computational method aimed at simulating incompressible flows, called SPH (Smoothed Particle Hydrodynamic), which will subsequently be implemented; and ii) assist in the consolidation and application of key concepts in mathematical analysis for computer simulation. Our efforts in this work provide mathematical foundations, which in turn, describe the dynamics of fluid dynamic motion.La omnipresencia y complejidad de los fenómenos físicos impulsan la fuerte búsqueda de herramientas capaces de simularlos, ya que muchas aplicaciones requieren simulaciones computacionalmente viables, confiables y, preferiblemente, de bajo costo. Así, a priori, este trabajo tiene dos objetivos: i) comprender los fundamentos teóricos de la dinámica de fluidos con un importante método computacional destinado a simular flujos incompresibles, denominado SPH (Smoothed Particle Hydrodynamic), que posteriormente será implementado; y ii) ayudar en la consolidación y aplicación de conceptos clave en análisis matemático para simulación por computadora. Nuestros esfuerzos en este trabajo proporcionan fundamentos matemáticos que, a su vez, describen la dinámica del movimiento fluidodinámico.L’omniprésence et la complexité des phénomènes physiques conduisent à une forte recherche d’outils capables de les simuler, car de nombreuses applications nécessitent des simulations informatiquement viables, fiables et, de préférence, peu coûteuses. Ainsi, a priori, ce travail poursuit deux objectifs : i) comprendre les fondements théoriques de la dynamique des fluides avec une importante méthode de calcul visant à simuler des écoulements incompressibles, appelée SPH (Smoothed Particle Hydrodynamic), qui sera par la suite implémentée ; et ii) aider à la consolidation et à l'application des concepts clés de l'analyse mathématique pour la simulation informatique. Nos efforts dans ce travail fournissent des fondements mathématiques qui, à leur tour, décrivent la dynamique du mouvement dynamique des fluides.A omnipresença e a complexidade dos fenômenos físicos impulsionam a forte procura de ferramentas capazes de simulá-los, visto que, muitas aplicações requerem simulações computacionalmente viáveis, confiáveis e, preferencialmente, com baixo custo. Assim, a priori, este trabalho traz dois objetivos: i) compreender os fundamentos teóricos da dinâmica de fluidos com um importante método computacional destinado à simulação de escoamentos incompressíveis, denominado SPH (do inglês, Smoothed Particle Hydrodynamic), que a posteriori, será implementado; e ii) auxiliar na consolidação e aplicação de conceitos-chave em análise matemática para simulação computacional. Nossos esforços neste trabalho, fornecem fundamentos matemáticos, que por sua vez, descrevem a dinâmica do movimento fluidodinâmico.Universidade Federal de Viçosa - UFV2023-12-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1739210.18540/jcecvl9iss12pp17392The Journal of Engineering and Exact Sciences; Vol. 9 No. 12 (2023); 17392The Journal of Engineering and Exact Sciences; Vol. 9 Núm. 12 (2023); 17392The Journal of Engineering and Exact Sciences; v. 9 n. 12 (2023); 173922527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/17392/9034Copyright (c) 2023 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSantos, Rômulo Damasclin Chaves dosSales, Jorge Henrique de Oliveira2024-03-26T17:17:46Zoai:ojs.periodicos.ufv.br:article/17392Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2024-03-26T17:17:46The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Mathematical analysis for simulation of incompressible fluid flow
Artículo Análisis matemático para simulación de flujo de fluido incompresible.
Article Analyse mathématique pour la simulation de l'écoulement d'un fluide incompressible
Análise matemática para simulação de escoamento de fluidos incompressíveis
title Mathematical analysis for simulation of incompressible fluid flow
spellingShingle Mathematical analysis for simulation of incompressible fluid flow
Santos, Rômulo Damasclin Chaves dos
Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation.
Dinâmica dos Fluidos Computacional. Equações de Navier-Stokes. Simulação SPH.
Dinámica de fluidos computacional.
Ecuaciones de Navier-Stokes.
Simulación SPH.
Dynamique des fluides computationnelle.
Équations de Navier-Stokes.
Simulation SPH.
title_short Mathematical analysis for simulation of incompressible fluid flow
title_full Mathematical analysis for simulation of incompressible fluid flow
title_fullStr Mathematical analysis for simulation of incompressible fluid flow
title_full_unstemmed Mathematical analysis for simulation of incompressible fluid flow
title_sort Mathematical analysis for simulation of incompressible fluid flow
author Santos, Rômulo Damasclin Chaves dos
author_facet Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
author_role author
author2 Sales, Jorge Henrique de Oliveira
author2_role author
dc.contributor.author.fl_str_mv Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
dc.subject.por.fl_str_mv Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation.
Dinâmica dos Fluidos Computacional. Equações de Navier-Stokes. Simulação SPH.
Dinámica de fluidos computacional.
Ecuaciones de Navier-Stokes.
Simulación SPH.
Dynamique des fluides computationnelle.
Équations de Navier-Stokes.
Simulation SPH.
topic Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation.
Dinâmica dos Fluidos Computacional. Equações de Navier-Stokes. Simulação SPH.
Dinámica de fluidos computacional.
Ecuaciones de Navier-Stokes.
Simulación SPH.
Dynamique des fluides computationnelle.
Équations de Navier-Stokes.
Simulation SPH.
description The omnipresence and complexity of physical phenomena drive the strong search for tools capable of simulating them, since many applications require computationally viable, reliable and, preferably, low-cost simulations. Thus, a priori, this work has two objectives: i) understand the theoretical foundations of fluid dynamics with an important computational method aimed at simulating incompressible flows, called SPH (Smoothed Particle Hydrodynamic), which will subsequently be implemented; and ii) assist in the consolidation and application of key concepts in mathematical analysis for computer simulation. Our efforts in this work provide mathematical foundations, which in turn, describe the dynamics of fluid dynamic motion.
publishDate 2023
dc.date.none.fl_str_mv 2023-12-05
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/17392
10.18540/jcecvl9iss12pp17392
url https://periodicos.ufv.br/jcec/article/view/17392
identifier_str_mv 10.18540/jcecvl9iss12pp17392
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/17392/9034
dc.rights.driver.fl_str_mv Copyright (c) 2023 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 9 No. 12 (2023); 17392
The Journal of Engineering and Exact Sciences; Vol. 9 Núm. 12 (2023); 17392
The Journal of Engineering and Exact Sciences; v. 9 n. 12 (2023); 17392
2527-1075
reponame:The Journal of Engineering and Exact Sciences
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str The Journal of Engineering and Exact Sciences
collection The Journal of Engineering and Exact Sciences
repository.name.fl_str_mv The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv
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