HyENA - Hyperbolic and Elliptic Numerical Analysis

HyENA is a C++ library for the numerical solution of partial differential equations using the boundary element method (BEM). The following features are provided:

  • Library for 3D domains
  • Continuous and discontinuous shape functions
  • Galerkin and collocation methods for spatial discretization
  • Convolution Quadrature Method (CQM) for temporal discretization
  • Fundamental solutions for different elliptic and hyperbolic problems
  • Support for fast boundary element methods based on H-matrices and ACA

BEM Gallery

Elastodynamic wave propagation

The animations below illustrate the wave propagation of two 3-dimensional pressurized elastodynamic cavities. The discs represent cuts in the (x,z)-plane and in the (y,z)-plane. The final animation is a combination of the two former ones.

Compression test

The shwon device is made of steel. It is loaded by a constant traction acting normal to its upper surface, and it is fixed at the lower surface. The following figures (a) and (b) show the system itself as well as the surface displacement and traction solutions. Figures (c) illustrate the stress distribution in the device. Finally, the figures (d)-(f) show the principal stresses within the body.


Viscoelastodynamic column

A viscoelastodynamic column of 3m length is depicted. The column is fixed at one end, and it is excited by a Heaviside load at the free end. The animation shows the wave propagation within the column for the first 100 time steps. For an enlargement simply click on the animation below. The enlarged animation consits of a observation time of 1500 time steps (GIF, 54MB).

© Pics: TU Graz/AM:BM


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