J.R. Serrano; Arnau Martínez, FJ.; Piqueras, P.; Reyes Belmonte, MA. (2011). Assessment of a methodology to mesh the spatial domain in the proximity of the boundary conditions for one-dimensional gas dynamic calculation. Mathematical and Computer Modelling. 54:1747-1752. doi:10.1016/j.mcm.2010.11.073
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/95442
Title:
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Assessment of a methodology to mesh the spatial domain in the proximity of the boundary conditions for one-dimensional gas dynamic calculation
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Author:
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J.R. Serrano
Arnau Martínez, Francisco José
Piqueras, P.
Reyes Belmonte, Miguel Ángel
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UPV Unit:
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Universitat Politècnica de València. Departamento de Máquinas y Motores Térmicos - Departament de Màquines i Motors Tèrmics
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Issued date:
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Abstract:
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[EN] Solution of governing equations for one-dimensional compressible unsteady flow has been performed traditionally using a homogenously distributed spatial mesh. In the resulting node structure, the internal nodes are ...[+]
[EN] Solution of governing equations for one-dimensional compressible unsteady flow has been performed traditionally using a homogenously distributed spatial mesh. In the resulting node structure, the internal nodes are solved by applying a shock capturing finite difference numerical method whereas the solution of the end nodes, which define the boundary conditions of the pipe, is undertaken by means of the Method of Characteristics. Besides the independent solution of every method, the coupling between the information obtained by the method of characteristics and the finite difference method is key in order to reach a good accuracy in gas dynamics modeling. The classical spatial mesh could provide numerical problems leading the boundary to generate lack of mass, momentum and energy conservation because of the interpolation methodology usually applied to draw the characteristics and path lines from its departure point at calculation time to the end of the pipe during the next time-step. To deal with this undesirable behavior, in this work a modification of the traditional grid including an extra node close to the boundary is proposed in order to explore its ability to provide numerical results with higher conservation fulfillment. © 2010 Elsevier Ltd.
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Subjects:
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Boundary conditions
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Gas dynamics
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Mesh
,
Time marching
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Calculation time
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Dynamic calculations
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Dynamics modeling
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Finite-difference numerical method
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Governing equations
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Internal nodes
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Method of characteristics
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Node structures
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Numerical problems
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Numerical results
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PAth lines
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Shock-capturing
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Spatial domains
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Spatial mesh
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Time step
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Finite difference method
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Pipe
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Numerical methods
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Mathematical and Computer Modelling. (issn:
0895-7177
)
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DOI:
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10.1016/j.mcm.2010.11.073
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Publisher:
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Elsevier
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Publisher version:
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http://doi.org/10.1016/j.mcm.2010.11.073
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Type:
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Artículo
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