Finite Element Analysis of Time-Dependent Semi-Infinite Wave-Guides with High-Order Boundary Treatment
MetadataShow full item record
A new Finite Element (FE) scheme is proposed for the solution of time-dependent semi- infinite wave-guide problems, in dispersive or non-dispersive media. The semi-infinite do- main is truncated via an artificial boundary B, and a high-order Non-Reflecting Boundary Condition (NRBC), based on the Higdon non-reflecting operators, is developed and applied on B. The new NRBC does not involve any high derivatives beyond second order, but its order of accuracy is as high as one desires. It involves some parameters which are chosen automatically as a pre-process. A C0 semi-discrete FE formulation incorporating this NRBC is constructed for the problem in the finite domain bounded by B. Augmented and split ver- sions of this FE formulation are proposed. The semi-discrete system of equations is solved by the Newmark time-integration scheme. Numerical examples concerning dispersive waves in a semi-infinite wave guide are used to demonstrate the performance of the new method.
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Showing items related by title, author, creator and subject.
Joolen, Vince J. van; Neta, Beny; Givoli, Dan (2005);Recently developed non-reflecting boundary conditions are applied for exterior time-dependent wave problems in unbounded domains. The linear time-dependent wave equation, with or without a dispersive term, is considered ...
Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models Neta, Beny; Joolen, Vince van; Dea, John R.; Givoli, Dan (2007);A shallow water model with linear time-dependent dispersive waves in an unbounded domain is considered. The domain is truncated with artificial boundaries B where a sequence of high-order non-reflecting boundary conditions ...
High-Order Non-Reflecting Boundary Conditions for Dispersive Waves in Cartesian, Cylindrical and Spherical Coordinate Systems Joolen, Vince Van; Givoli, Dan; Neta, Beny (2003-08);Among the many areas of research that Professor Kawahara has been active in is the subject of open boundaries in which linear time-dependent dispersive waves are considered in an unbounded domain. The infinite domain is ...