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Descripción
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| We present a new finite element method for solving compressible flows. The proposed method isthermodynamically consistent in the sense that their solutions rigorously comply with the twolaws of thermodynamics: for isolated systems they preserve the total energy and the entropyis non-decreasing. The formulation of such method is based on the well known SUPG scheme[1] and the ideas presented in [2]. Following the last, we express the evolution equation asa metriplectic system and enforce from their inception certain directionality and degeneracyconditions on the discrete vector fields.We focus on the Euler equations, noting that the extension to the Navier Stokes equations forcompressible fluids can be done following the same methodology. In the presentation we willdescribe the scheme, illustrate the properties of the integration procedure, and show numericalsimulations that verify the qualitative features of the proposed method. | |
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Internacional
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Si |
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Nombre congreso
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ECCOMAS 2018 |
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Tipo de participación
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960 |
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Lugar del congreso
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Glasgow |
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Revisores
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Si |
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ISBN o ISSN
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0000-0000 |
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DOI
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Fecha inicio congreso
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11/06/2018 |
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Fecha fin congreso
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15/06/2018 |
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Desde la página
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1 |
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Hasta la página
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10 |
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Título de las actas
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http://www.eccm-ecfd2018.org/frontal/ProgSesion.asp?id=531 |