A sonic fix for ideal magnetogasdynamics equations using the Harten-Yee TVD scheme

Computational magnetogasdynamics (MGD) represents one of the most promising interdisciplinary computational technologies for aerospace design. However, the numerical techniques developed for the MGD equations must be able to solve correctly nonlinear hyperbolic differential equation system. In this...

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Detalles Bibliográficos
Autores: Maglione, Livio Sebastián Maglione, Elaskar, Sergio Amado, Brito, Héctor Alejandro, Dean, Raúl Alberto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/159314
Acceso en línea:http://hdl.handle.net/11336/159314
Access Level:acceso abierto
Palabra clave:MGD
PPT
RIEMANN SOLVER
TVD
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
Descripción
Sumario:Computational magnetogasdynamics (MGD) represents one of the most promising interdisciplinary computational technologies for aerospace design. However, the numerical techniques developed for the MGD equations must be able to solve correctly nonlinear hyperbolic differential equation system. In this work we present a modification of the original Harten-Yee scheme by incorporating a new sonic fix for the acoustic causality points using the finite volume technique. The proposed technique is used to simulate the coplanar MGD Riemann problem where results using the new sonic fix are compared with those given by the traditional Harten?Yee scheme. The obtained 2-D numerical results correctly satisfy the 1-D numerical solutions, and the oscillations present using the Harten-Yee traditional scheme, are reduced.