A new space-time mesh refinement method for elastodynamics

P. Joly; J. Rodríguez

A new space-time mesh refinement method for elastodynamics

P. Joly, J. Rodríguez

INRIA Rocquencourt

Research output: Contribution to conference › Paper › peer-review

Abstract

In the present paper, we generalize the conservative space-time mesh refinement presented in [6] to the elastodynamic equations. We also propose a post-treatement of the solution, introduced in [13], that reduces the spurious phenomena due to the nonconformity between the time meshes. A reinterpretation of the equations in terms of new unknowns leads to a new scheme with second order consistent coupling equations. Numerical experiments in the 1D and 2D cases and a plane wave analysis for the 1D model show that the method is second order accurate for an arbitrary refinement.

Original language	English
Publication status	Published - 1 Dec 2004
Externally published	Yes
Event	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland Duration: 24 Jul 2004 → 28 Jul 2004

Conference

Conference	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Country/Territory	Finland
City	Jyvaskyla
Period	24/07/04 → 28/07/04

Keywords

Elastic wave propagation
Local time step
Mesh refinement
Stability

Cite this

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title = "A new space-time mesh refinement method for elastodynamics",

abstract = "In the present paper, we generalize the conservative space-time mesh refinement presented in [6] to the elastodynamic equations. We also propose a post-treatement of the solution, introduced in [13], that reduces the spurious phenomena due to the nonconformity between the time meshes. A reinterpretation of the equations in terms of new unknowns leads to a new scheme with second order consistent coupling equations. Numerical experiments in the 1D and 2D cases and a plane wave analysis for the 1D model show that the method is second order accurate for an arbitrary refinement.",

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TY - CONF

T1 - A new space-time mesh refinement method for elastodynamics

AU - Joly, P.

AU - Rodríguez, J.

PY - 2004/12/1

Y1 - 2004/12/1

N2 - In the present paper, we generalize the conservative space-time mesh refinement presented in [6] to the elastodynamic equations. We also propose a post-treatement of the solution, introduced in [13], that reduces the spurious phenomena due to the nonconformity between the time meshes. A reinterpretation of the equations in terms of new unknowns leads to a new scheme with second order consistent coupling equations. Numerical experiments in the 1D and 2D cases and a plane wave analysis for the 1D model show that the method is second order accurate for an arbitrary refinement.

AB - In the present paper, we generalize the conservative space-time mesh refinement presented in [6] to the elastodynamic equations. We also propose a post-treatement of the solution, introduced in [13], that reduces the spurious phenomena due to the nonconformity between the time meshes. A reinterpretation of the equations in terms of new unknowns leads to a new scheme with second order consistent coupling equations. Numerical experiments in the 1D and 2D cases and a plane wave analysis for the 1D model show that the method is second order accurate for an arbitrary refinement.

KW - Elastic wave propagation

KW - Local time step

KW - Mesh refinement

KW - Stability

M3 - Paper

AN - SCOPUS:84893469061

T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004

Y2 - 24 July 2004 through 28 July 2004

ER -

A new space-time mesh refinement method for elastodynamics

Abstract

Conference

Keywords

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Cite this