Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

AN HOMOGENIZED MODEL ACCOUNTING FOR DISPERSION, INTERFACES AND SOURCE POINTS FOR TRANSIENT WAVES IN 1D PERIODIC MEDIA

Abstract : An homogenized model is proposed for linear waves in 1D microstructured media. It combines second-order asymptotic homogenization (to account for dispersion) and interface correctors (for transmission from or towards homogeneous media). A new bound on a second-order effective coefficient is proven, ensuring well-posedness of the homogenized model whatever the microstructure. Based on an analogy with existing enriched continua, the evolution equations are reformulated as a dispersive hyperbolic system. The efficiency of the model is illustrated via time-domain numerical simulations. An extension to Dirac source terms is also proposed.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03652455
Contributor : Bruno Lombard Connect in order to contact the contributor
Submitted on : Tuesday, April 26, 2022 - 4:33:31 PM
Last modification on : Thursday, April 28, 2022 - 3:36:01 AM

File

M2an-V1.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03652455, version 1

Citation

R Cornaggia, Bruno Lombard. AN HOMOGENIZED MODEL ACCOUNTING FOR DISPERSION, INTERFACES AND SOURCE POINTS FOR TRANSIENT WAVES IN 1D PERIODIC MEDIA. 2022. ⟨hal-03652455⟩

Share

Metrics

Record views

27

Files downloads

9