Aspectos teórico-numéricos dos métodos SPH e MPS
| Ano de defesa: | 2015 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Estadual Paulista (Unesp)
|
| Programa de Pós-Graduação: |
Não Informado pela instituição
|
| Departamento: |
Não Informado pela instituição
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| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Link de acesso: | http://hdl.handle.net/11449/128166 http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/16-09-2015/000848940.pdf |
Resumo: | Currently, due to the technological advances the use of particle methods is gaining ground in the simulations of fluid flow. The first particle method to be developed was the Smoothed Particle Hydrodynamics (SPH) that was very efficient for compressible flow problems, but inefficient for incompressible ones. Thus, there was some strategy to solve incompressible flow problems as the incompressible Smoothed Particle Hydrodynamics (ISPH) and the Moving Particle Semi-Implicit (MPS); in both methods the pressure is updated by a Poisson equation. For an approximation of the Navier-Stokes equations it is first needed a good approximation for the Poisson equation. This paper discusses the following particles methods: Smoothed Particle Hydrodynamics (SPH) and Moving Particle Semi-Implicit (MPS). The discretization of differential operators by these methods is done through the approximation of the kernel and also by particles. A comparative study of different discretizations were made. In order to know if the parameters used in the literature for the SPH and MPS methods provide a good solution for Poisson equation, have been performed several tests by varying the parameters with and without the borders treatment. This work also proposed a strategy to solve the oscillation problem in advection equation with discontinuity in the initial conditions and the results were very satisfactory |
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Aspectos teórico-numéricos dos métodos SPH e MPSComputação - MatematicaParticulasHidrodinâmica - Programas de computadorComputer science - MathematicsCurrently, due to the technological advances the use of particle methods is gaining ground in the simulations of fluid flow. The first particle method to be developed was the Smoothed Particle Hydrodynamics (SPH) that was very efficient for compressible flow problems, but inefficient for incompressible ones. Thus, there was some strategy to solve incompressible flow problems as the incompressible Smoothed Particle Hydrodynamics (ISPH) and the Moving Particle Semi-Implicit (MPS); in both methods the pressure is updated by a Poisson equation. For an approximation of the Navier-Stokes equations it is first needed a good approximation for the Poisson equation. This paper discusses the following particles methods: Smoothed Particle Hydrodynamics (SPH) and Moving Particle Semi-Implicit (MPS). The discretization of differential operators by these methods is done through the approximation of the kernel and also by particles. A comparative study of different discretizations were made. In order to know if the parameters used in the literature for the SPH and MPS methods provide a good solution for Poisson equation, have been performed several tests by varying the parameters with and without the borders treatment. This work also proposed a strategy to solve the oscillation problem in advection equation with discontinuity in the initial conditions and the results were very satisfactoryAtualmente, devido ao grande avanço tecnológico o uso dos métodos de partículas vêm ganhando espaço nas simulações de escoamento de fluido. O primeiro método de partículas a ser desenvolvido foi o Smoothed Particle Hydrodynamics (SPH) que se mostrou bastante eficiente para problemas de escoamento compressível, mas ineficiente para escoamento incompressível. Desta forma, surgiu algumas estratégias para resolver problemas de escoamento incompressível como o Incompressible Smoothed Particle Hydrodynamics (ISPH) e o Moving Particle Semi-Implicit (MPS); em ambos os métodos a pressão é atualizada por um equação de Poisson. Portanto para obter uma boa aproximação das equações de Navier-Stokes é necessário antes ter uma boa aproximação da equação de Poisson. Neste trabalho são abordados os métodos de partículas Smoothed Particle Hydrodynamics (SPH) e Moving Particle Semi-Implicit (MPS). A discretização dos operadores diferenciais por esses métodos é feita por meio da aproximação do núcleo e também por partículas. Um estudo comparativo entre discretização foram efetuadas. Afim de saber se os parâmetros utilizados na literatura dos métodos de partículas SPH e MPS dão uma boa solução para equação de Poisson foram realizados vários testes variando os parâmetros com e sem o tratamento de fronteira. Neste trabalho também foi proposta uma estratégia para resolver o problema de oscilação na solução da equação de advecção com descontinuidade nas condições iniciais e os resultados foram bem satisfatórioCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Universidade Estadual Paulista (Unesp)Meneguette Júnior, Messias [UNESP]Universidade Estadual Paulista (Unesp)Takata, Adriano Sueke [UNESP]2015-10-06T13:03:39Z2015-10-06T13:03:39Z2015-03-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis117 p. : il.application/pdfTAKATA, Adriano Sueke. Aspectos teórico-numéricos dos métodos SPH e MPS. 2015. 117 p. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Faculdade de Ciências e Tecnologia, 2015.http://hdl.handle.net/11449/128166000848940http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/16-09-2015/000848940.pdf33004129046P91531018187057108Alephreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporinfo:eu-repo/semantics/openAccess2025-10-22T18:30:36Zoai:repositorio.unesp.br:11449/128166Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-10-22T18:30:36Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| title |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| spellingShingle |
Aspectos teórico-numéricos dos métodos SPH e MPS Takata, Adriano Sueke [UNESP] Computação - Matematica Particulas Hidrodinâmica - Programas de computador Computer science - Mathematics |
| title_short |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| title_full |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| title_fullStr |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| title_full_unstemmed |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| title_sort |
Aspectos teórico-numéricos dos métodos SPH e MPS |
| author |
Takata, Adriano Sueke [UNESP] |
| author_facet |
Takata, Adriano Sueke [UNESP] |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Meneguette Júnior, Messias [UNESP] Universidade Estadual Paulista (Unesp) |
| dc.contributor.author.fl_str_mv |
Takata, Adriano Sueke [UNESP] |
| dc.subject.por.fl_str_mv |
Computação - Matematica Particulas Hidrodinâmica - Programas de computador Computer science - Mathematics |
| topic |
Computação - Matematica Particulas Hidrodinâmica - Programas de computador Computer science - Mathematics |
| description |
Currently, due to the technological advances the use of particle methods is gaining ground in the simulations of fluid flow. The first particle method to be developed was the Smoothed Particle Hydrodynamics (SPH) that was very efficient for compressible flow problems, but inefficient for incompressible ones. Thus, there was some strategy to solve incompressible flow problems as the incompressible Smoothed Particle Hydrodynamics (ISPH) and the Moving Particle Semi-Implicit (MPS); in both methods the pressure is updated by a Poisson equation. For an approximation of the Navier-Stokes equations it is first needed a good approximation for the Poisson equation. This paper discusses the following particles methods: Smoothed Particle Hydrodynamics (SPH) and Moving Particle Semi-Implicit (MPS). The discretization of differential operators by these methods is done through the approximation of the kernel and also by particles. A comparative study of different discretizations were made. In order to know if the parameters used in the literature for the SPH and MPS methods provide a good solution for Poisson equation, have been performed several tests by varying the parameters with and without the borders treatment. This work also proposed a strategy to solve the oscillation problem in advection equation with discontinuity in the initial conditions and the results were very satisfactory |
| publishDate |
2015 |
| dc.date.none.fl_str_mv |
2015-10-06T13:03:39Z 2015-10-06T13:03:39Z 2015-03-10 |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
| format |
masterThesis |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
TAKATA, Adriano Sueke. Aspectos teórico-numéricos dos métodos SPH e MPS. 2015. 117 p. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Faculdade de Ciências e Tecnologia, 2015. http://hdl.handle.net/11449/128166 000848940 http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/16-09-2015/000848940.pdf 33004129046P9 1531018187057108 |
| identifier_str_mv |
TAKATA, Adriano Sueke. Aspectos teórico-numéricos dos métodos SPH e MPS. 2015. 117 p. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Faculdade de Ciências e Tecnologia, 2015. 000848940 33004129046P9 1531018187057108 |
| url |
http://hdl.handle.net/11449/128166 http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/16-09-2015/000848940.pdf |
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por |
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por |
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info:eu-repo/semantics/openAccess |
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openAccess |
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117 p. : il. application/pdf |
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Universidade Estadual Paulista (Unesp) |
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Universidade Estadual Paulista (Unesp) |
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Aleph reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
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Universidade Estadual Paulista (UNESP) |
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UNESP |
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UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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repositoriounesp@unesp.br |
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1854954422754344960 |