Mathematical analysis for simulation of incompressible fluid flow
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 fou...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2023-12-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/17392 |
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| _version_ | 1832569770287824896 |
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| author | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales |
| author_facet | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales |
| author_sort | Rômulo Damasclin Chaves dos Santos |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-f1b55c2a6b764c95b03eae6c9d7f01d8 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-f1b55c2a6b764c95b03eae6c9d7f01d82025-02-02T19:54:28ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752023-12-0191210.18540/jcecvl9iss12pp17392Mathematical analysis for simulation of incompressible fluid flowRômulo Damasclin Chaves dos Santos0Jorge Henrique de Oliveira Sales1Department of Physics, Technological Institute of Aeronautics, São Paulo, BrazilState University of Santa Cruz – DCEX, Brazil 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. https://periodicos.ufv.br/jcec/article/view/17392Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation. |
| spellingShingle | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Mathematical analysis for simulation of incompressible fluid flow The Journal of Engineering and Exact Sciences Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation. |
| title | 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_short | Mathematical analysis for simulation of incompressible fluid flow |
| title_sort | mathematical analysis for simulation of incompressible fluid flow |
| topic | Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation. |
| url | https://periodicos.ufv.br/jcec/article/view/17392 |
| work_keys_str_mv | AT romulodamasclinchavesdossantos mathematicalanalysisforsimulationofincompressiblefluidflow AT jorgehenriquedeoliveirasales mathematicalanalysisforsimulationofincompressiblefluidflow |