Transient Acoustic Scattering
 
 
 
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Adaptive Discontinuous Galerkin Finite Element Method (DGFEM)
scattered field solution from an ellipse in an unbounded region
with corresponding adaptive mesh at snapshots in time.
Waves are allowed to pass through the
circular nonreflecting boundary, using the sequence of high-order accurate
radiation conditions given in
(L.L. Thompson, R. Huan, D. He,
`Accurate radiation boundary conditions for the two-dimensional
wave equation on unbounded domains',
Comput. Methods in Appl. Mech. Engrg, 191, 311-351, 2001).
Initially, the scattered field is localized near
the surface of the scatterer
and then expands as the pulse progresses past an elliptic scatterer.
As the wave propagates throughout the grid,
elements are refined near wave fronts, and unrefined where the solution is
smooth or quiescent, providing efficient real-time wave tracking over large
distance and time.
-L.L.Thompson
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