Meshless methods for a simple atmospheric model
In this paper, two meshless methods, the "Smoothed Particle Hydrodynamics (SPH)", the "Meshless Local Petrov-Galerkin (MLPG)" and the classical upwind finite difference method (FDM) are applied to a linear one space dimension advection equation with specified periodic boundary co...
Saved in:
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/14393 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Mahidol University |
| id |
th-mahidol.14393 |
|---|---|
| record_format |
dspace |
| spelling |
th-mahidol.143932018-06-11T11:57:28Z Meshless methods for a simple atmospheric model A. Koomsubsiri D. Sukawat S. Tangmanee King Mongkuts University of Technology Thonburi Mahidol University Mathematics In this paper, two meshless methods, the "Smoothed Particle Hydrodynamics (SPH)", the "Meshless Local Petrov-Galerkin (MLPG)" and the classical upwind finite difference method (FDM) are applied to a linear one space dimension advection equation with specified periodic boundary condition. In SPH, a cubic spline weight function is used to determine the advection field at the nodes in the support domain. For MLPG method, the weight residual is confined to a very small local sub-domain. The numerical integrations are carried out over a local quadrature domain defined for the node, which can also be the local domain where the test (weight) function is defined. The results from three methods are compared with the corresponding exact solutions. 2018-06-11T04:57:28Z 2018-06-11T04:57:28Z 2012-10-16 Article Applied Mathematical Sciences. Vol.6, No.125-128 (2012), 6287-6299 1312885X 2-s2.0-84867317735 https://repository.li.mahidol.ac.th/handle/123456789/14393 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84867317735&origin=inward |
| institution |
Mahidol University |
| building |
Mahidol University Library |
| continent |
Asia |
| country |
Thailand Thailand |
| content_provider |
Mahidol University Library |
| collection |
Mahidol University Institutional Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics A. Koomsubsiri D. Sukawat S. Tangmanee Meshless methods for a simple atmospheric model |
| description |
In this paper, two meshless methods, the "Smoothed Particle Hydrodynamics (SPH)", the "Meshless Local Petrov-Galerkin (MLPG)" and the classical upwind finite difference method (FDM) are applied to a linear one space dimension advection equation with specified periodic boundary condition. In SPH, a cubic spline weight function is used to determine the advection field at the nodes in the support domain. For MLPG method, the weight residual is confined to a very small local sub-domain. The numerical integrations are carried out over a local quadrature domain defined for the node, which can also be the local domain where the test (weight) function is defined. The results from three methods are compared with the corresponding exact solutions. |
| author2 |
King Mongkuts University of Technology Thonburi |
| author_facet |
King Mongkuts University of Technology Thonburi A. Koomsubsiri D. Sukawat S. Tangmanee |
| format |
Article |
| author |
A. Koomsubsiri D. Sukawat S. Tangmanee |
| author_sort |
A. Koomsubsiri |
| title |
Meshless methods for a simple atmospheric model |
| title_short |
Meshless methods for a simple atmospheric model |
| title_full |
Meshless methods for a simple atmospheric model |
| title_fullStr |
Meshless methods for a simple atmospheric model |
| title_full_unstemmed |
Meshless methods for a simple atmospheric model |
| title_sort |
meshless methods for a simple atmospheric model |
| publishDate |
2018 |
| url |
https://repository.li.mahidol.ac.th/handle/123456789/14393 |
| _version_ |
1763493779306708992 |