Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods

Vincenzo Gulizzi, Robert Saye, Vincenzo Gulizzi

Research output: Contribution to journalArticlepeer-review


A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-phase and bi-phase solids is presented.The framework belongs to the embedded-boundary techniques and its novelty regards the spatial discretization, which enables boundary and interface conditions to be enforced with high-order accuracy on curved embedded geometries.High-order accuracy is achieved via high-order quadrature rules for implicitly-defined domains and boundaries, whilst a cell-merging strategy addresses the presence of small cut cells.The framework is used to discretize the governing equations of elastodynamics, written using a first-order hyperbolic momentum-strain formulation, and an exact Riemann solver is employed to compute the numerical flux at the interface between dissimilar materials with general anisotropic properties.The space-discretized equations are then advanced in time using explicit high-order Runge–Kutta algorithms.Several two- and three-dimensional numerical tests including dynamic adaptive mesh refinement are presented to demonstrate the high-order accuracy and the capability of the method in the elastodynamic analysis of single- and bi-phases solids containing complex geometries.
Original languageEnglish
Pages (from-to)114971-
Number of pages32
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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