System and a method for numerical simulation of wave...

Details System and a method for numerical simulation of wave... System and a method for numerical simulation of wave...

2006-05-03

2010-10-26

Rodriguez, Paul L (Department: 2123)

Data processing: structural design, modeling, simulation, and em

Modeling by mathematical expression

C703S005000, C703S013000

Reexamination Certificate

active

07822585

ABSTRACT:
The present invention provides a method to construct stable, high-order explicit discretization for the wave equation based on the discretization of the evolution formula. The present invention provides independent computation of discretization in one, two, or more spaces for bulk propagation, near boundaries propagation, and discretization of a projection operator to enforce boundary conditions. More specifically, the method includes an act of discretizing propagation operators LΔtby using an identity that is derived using central differencing in time. The method also includes an act of providing a high-order discretization of a boundary projection operator that enforces boundary conditions independent of the discretization of the propagation operators LΔt. Additionally, the method includes an act of alternating an application of a discretization of an evolution formula having a spatial filtering operator L0with a boundary projection operation for stepping forward in time to determine wave propagation in the media.

REFERENCES:
patent: 6005916 (1999-12-01), Johnson et al.
patent: 2003/0003054 (2003-01-01), McDonald et al.

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