Discretizing singular point sources in hyperbolic wave propagation problems

  title={Discretizing singular point sources in hyperbolic wave propagation problems},
  author={N. Anders Petersson and Ossian O’Reilly and Bj{\"o}rn Sj{\"o}green and Samuel Bydlon},
  journal={J. Comput. Phys.},
Approximating moving point sources in hyperbolic partial differential equations
A source discretization is derived that meets these requirements and is applicable for source trajectories that do not touch domain boundaries and proves design-order convergence of the numerical solution for the one-dimensional advection equation.
Upwind Summation By Parts Finite Difference Methods for Large Scale Elastic Wave Simulations In Complex Geometries
The results show that the upwind SBP operators are more robust and less prone to numerical dispersion errors on marginally resolved meshes when compared to traditionalSBP operators, thereby increasing efficiency.
A stable discontinuous Galerkin method for linear elastodynamics in geometrically complex media using physics based numerical fluxes
A provably energy-stable discontinuous Galerkin approximation of the elastic wave equation in complex and discontinuous media is developed using a physics-based numerical penalty-flux.
High-fidelity Sound Propagation in a Varying 3D Atmosphere
A stable and high-order accurate upwind finite difference discretization of the 3D linearized Euler equations is presented, which leads to robust and accurate numerical approxims in the presence of point sources and naturally avoids the onset of spurious oscillations.
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form
We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer (PML) for three and two space dimensional linear elastodynamics, in velocity-stress formulation, subject to
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Directional Sources in Wave-Based Acoustic Simulation
  • S. Bilbao, B. Hamilton
  • Mathematics
    IEEE/ACM Transactions on Audio, Speech, and Language Processing
  • 2019
A new model of point sources of arbitrary directivity and location with respect to an underlying grid is presented, framed in the spatio-temporal domain directly through the differentiation of Dirac distributions, leading to a spatial Fourier-based approximation strategy.


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An energy conserving discretization of the elastic wave equation in second order formulation is developed for a composite grid, consisting of a set of structured rectangular component grids with
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We develop a super-grid modeling technique for solving the elastic wave equation in semi-bounded two- and three-dimensional spatial domains. In this method, waves are slowed down and dissipated in
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Abstract We present a systematic method for constructing boundary conditions (numerical and physical) of the required accuracy, for compact (Pade-like) high-order finite-difference schemes for
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