A three-dimensional lagrangian method for fluid dynamics
Using six-surfaced cells the space-derivative terms in the Lagrangian equations are reduced to simple algebraic expressions, that require volume and surface variables. In order to preserve the thermodynamic relation for internal energy for each cell, the surface magnitudes are chosen from the neighb...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00219991_v91_n2_p361_Bilbao |
| Aporte de: |
| id |
todo:paper_00219991_v91_n2_p361_Bilbao |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00219991_v91_n2_p361_Bilbao2023-10-03T14:25:20Z A three-dimensional lagrangian method for fluid dynamics Bilbao, L. Using six-surfaced cells the space-derivative terms in the Lagrangian equations are reduced to simple algebraic expressions, that require volume and surface variables. In order to preserve the thermodynamic relation for internal energy for each cell, the surface magnitudes are chosen from the neighbor cells in the following way: the velocity from the volume velocity of the cell "ahead" while the pressure from the volume pressure of the cell "behind." Together with a simple predictor-corrector scheme a stable (Courant number 0.5) and fast code may be written. Although it is less accurate than other methods, it exhibits some interesting features: it retains the advantages of sided methods for imposing boundary conditions, and it preserves the simplicity of the explicit schemes (a fact particularly useful to vectorize it). © 1990. Fil:Bilbao, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00219991_v91_n2_p361_Bilbao |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Using six-surfaced cells the space-derivative terms in the Lagrangian equations are reduced to simple algebraic expressions, that require volume and surface variables. In order to preserve the thermodynamic relation for internal energy for each cell, the surface magnitudes are chosen from the neighbor cells in the following way: the velocity from the volume velocity of the cell "ahead" while the pressure from the volume pressure of the cell "behind." Together with a simple predictor-corrector scheme a stable (Courant number 0.5) and fast code may be written. Although it is less accurate than other methods, it exhibits some interesting features: it retains the advantages of sided methods for imposing boundary conditions, and it preserves the simplicity of the explicit schemes (a fact particularly useful to vectorize it). © 1990. |
| format |
JOUR |
| author |
Bilbao, L. |
| spellingShingle |
Bilbao, L. A three-dimensional lagrangian method for fluid dynamics |
| author_facet |
Bilbao, L. |
| author_sort |
Bilbao, L. |
| title |
A three-dimensional lagrangian method for fluid dynamics |
| title_short |
A three-dimensional lagrangian method for fluid dynamics |
| title_full |
A three-dimensional lagrangian method for fluid dynamics |
| title_fullStr |
A three-dimensional lagrangian method for fluid dynamics |
| title_full_unstemmed |
A three-dimensional lagrangian method for fluid dynamics |
| title_sort |
three-dimensional lagrangian method for fluid dynamics |
| url |
http://hdl.handle.net/20.500.12110/paper_00219991_v91_n2_p361_Bilbao |
| work_keys_str_mv |
AT bilbaol athreedimensionallagrangianmethodforfluiddynamics AT bilbaol threedimensionallagrangianmethodforfluiddynamics |
| _version_ |
1782029927765245952 |