On the well-posedness of the multi-dimensional Roe-Liu-Vinokur linearization for residual distribution schemes

Garicano Mena, Jesus and Degrez, Gerard (2019). On the well-posedness of the multi-dimensional Roe-Liu-Vinokur linearization for residual distribution schemes. "Journal of Computational Physics", v. 378 ; pp. 760-769. ISSN 0021-9991. https://doi.org/10.1016/j.jcp.2018.11.007.

Description

Title: On the well-posedness of the multi-dimensional Roe-Liu-Vinokur linearization for residual distribution schemes
Author/s:
  • Garicano Mena, Jesus
  • Degrez, Gerard
Item Type: Article
Título de Revista/Publicación: Journal of Computational Physics
Date: 2019
ISSN: 0021-9991
Volume: 378
Subjects:
Freetext Keywords: Computational fluid dynamics; Residual distribution schemes; Roe linearization; Hypersonic flow; Thermo-chemical non-equilibrium; Unstructured grids
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In reference, Liu and Vinokur proposed an strategy to derive a Roe-like linearization for flows in thermo-chemical non-equilibrium (TCNEQ). In the context of approximated Riemann solvers, being able to determine a Roe-like averaged state Z→avg respecting property U guarantees that a discrete linearized description of the Riemann problem provides a solution consistent with that of the original non-linear problem, i.e., the numerical algorithm can - in the words of Roe - "recognize a shock wave".

Funding Projects

TypeCodeAcronymLeaderTitle
Horizon 2020690623DRAGYCentre International de Metodes Numerics en EngyneriaDrag Reduction in Turbulent Boundary Layer via Flow Control

More information

Item ID: 67010
DC Identifier: https://oa.upm.es/67010/
OAI Identifier: oai:oa.upm.es:67010
DOI: 10.1016/j.jcp.2018.11.007
Official URL: https://www.sciencedirect.com/science/article/pii/S0021999118307253?via%3Dihub#se0020
Deposited by: Memoria Investigacion
Deposited on: 11 Jan 2022 09:01
Last Modified: 11 Jan 2022 09:01
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