Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow
We aimed to derive a kernel function that accounts for the interaction among moving particles within the framework of particle method. To predict a computationally more accurate moving particle solution for the Navier-Stokes equations, kernel function is a key to success in the development of inter...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/793653 |
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| author | Tony W. H. Sheu Chenpeng Chiao Chinlong Huang |
| author_facet | Tony W. H. Sheu Chenpeng Chiao Chinlong Huang |
| author_sort | Tony W. H. Sheu |
| collection | DOAJ |
| description | We aimed to derive a kernel function that accounts for the interaction among moving particles within the framework of particle method. To predict a computationally more accurate moving particle solution for the Navier-Stokes equations, kernel function is a key to success in the development of interaction model. Since the smoothed quantity of a scalar or a vector at a spatial location is mathematically identical to its collocated value provided that the kernel function is chosen to be the Dirac delta function, our guideline is to derive the kernel function that is closer to the delta function as much as possible. The proposed particle interaction model using the newly developed kernel function will be validated through the two investigated Navier-Stokes problems which have either the semianalytical or the benchmark solutions. |
| format | Article |
| id | doaj-art-69ba841b04c040b1ae0439868bd5c7c5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-69ba841b04c040b1ae0439868bd5c7c52025-02-03T01:23:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/793653793653Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface FlowTony W. H. Sheu0Chenpeng Chiao1Chinlong Huang2Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, 10617, TaiwanDepartment of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, 10617, TaiwanDepartment of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, 10617, TaiwanWe aimed to derive a kernel function that accounts for the interaction among moving particles within the framework of particle method. To predict a computationally more accurate moving particle solution for the Navier-Stokes equations, kernel function is a key to success in the development of interaction model. Since the smoothed quantity of a scalar or a vector at a spatial location is mathematically identical to its collocated value provided that the kernel function is chosen to be the Dirac delta function, our guideline is to derive the kernel function that is closer to the delta function as much as possible. The proposed particle interaction model using the newly developed kernel function will be validated through the two investigated Navier-Stokes problems which have either the semianalytical or the benchmark solutions.http://dx.doi.org/10.1155/2011/793653 |
| spellingShingle | Tony W. H. Sheu Chenpeng Chiao Chinlong Huang Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow Journal of Applied Mathematics |
| title | Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow |
| title_full | Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow |
| title_fullStr | Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow |
| title_full_unstemmed | Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow |
| title_short | Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow |
| title_sort | development of a particle interaction kernel function in mps method for simulating incompressible free surface flow |
| url | http://dx.doi.org/10.1155/2011/793653 |
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