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...
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1990
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219991_v91_n2_p361_Bilbao http://hdl.handle.net/20.500.12110/paper_00219991_v91_n2_p361_Bilbao |
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| Sumario: | 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. |
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