A MIMETIC WAVE EQUATION DISCRETIZATION WITH

A MIMETIC WAVE EQUATION DISCRETIZATION WITH ABSORBING
BOUNDARY CONDITION: FORMULATION AND APPLICATION
Freysimar Solano-Feo
Juan M. Guevara-Jordan
Otilio Rojas
Carlos L. González-Ramı́rez.
[email protected]
[email protected]
[email protected]
[email protected]
Facultad de Ciencias, Universidad Central de Venezuela, Caracas, Venezuela.
Beatriz Otero
[email protected]
Dpto. de Arquitectura d’Computadors, Universitat Politécnica de Catalunya, Campus Nord, Barcelona,
Spain.
Abstract.
The cornerstone of mimetic finite differentiation (FD) is that discrete gradients
and divergences, in combination with a novel boundary flux operator satisfies an approximation
to the Gauss–Divergence theorem. In this paper, we propose a spatially staggered second-order
discretization of the acoustic wave equation that fully exploits all these mimetic operators on the
implementation of free surface and absorbing boundary conditions. Explicit time integration is
carried out by using the standard three-level central FD stencil. Applications of this new method
to simple 2-D seismic scenarios are also presented and discussed.
Key words: Acoustic wave, absorbing, mimetic finite differences, staggered grids, Reflection.