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Conference Papers Year : 2022

Recent Fourier continuation-based solvers for time-dependent problems in solids, fluids & their interactions

Abstract

This contribution overviews a spectral methodology for the numerical solution of partial differential equation systems governing various mechanical wave propagation problems. Based on a Fourier continuation (FC) approach for the accurate trigonometric interpolation of a non-periodic function, such a high-order algorithm produces solutions with essentially no numerical dispersion ; possesses mild CFL constraints scaling only linearly with spatial discretization sizes ; and parallelizes efficiently for high performance. Applications to non-destructive testing, blood dynamics, and geophysics are discussed. Mots clés-(pseudo)spectral methods, wave propagation, fluid-structure interactions, non-destructive testing, hemodynamics, tsunami generation
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Dates and versions

hal-03617274 , version 1 (23-03-2022)

Identifiers

  • HAL Id : hal-03617274 , version 1

Cite

Faisal Amlani. Recent Fourier continuation-based solvers for time-dependent problems in solids, fluids & their interactions. 15ème Colloque National en Calcul des Structures (CSMA 2022), May 2022, Giens, France. ⟨hal-03617274⟩
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