Back to Search
Start Over
High-order Non-reflecting Boundary Conditions for Dispersive Waves in Cartesian, Cylindrical and Spherical Coordinate Systems
- Source :
- International Journal of Computational Fluid Dynamics. 17:263-274
- Publication Year :
- 2003
- Publisher :
- Informa UK Limited, 2003.
-
Abstract
- 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 truncated via an artificial boundary B on which an open boundary condition (OBC) is imposed. In this paper, Higdon OBCs and Hagstrom–Hariharan (HH) OBCs are considered. Higdon-type conditions, originally implemented as low-order OBCs, are made accessible for any desired order via a new scheme. The higher-order Higdon OBC is then reformulated using auxiliary variables and made compatible for use with finite element (FE) methods. Methodologies for selecting Higdon parameters are also proposed. The performances of these schemes are demonstrated in two numerical examples. This is followed by a discussion of the HH OBC, which is applicable to non-dispersive media on cylindrical and spherical geometries. The paper extends this OBC to the “slightly dispersive” case.
- Subjects :
- Mechanical Engineering
Mathematical analysis
Computational Mechanics
Energy Engineering and Power Technology
Aerospace Engineering
Spherical coordinate system
Boundary (topology)
Condensed Matter Physics
Domain (mathematical analysis)
Finite element method
law.invention
Auxiliary variables
Mechanics of Materials
law
Cartesian coordinate system
Boundary value problem
High order
Mathematics
Subjects
Details
- ISSN :
- 10290257 and 10618562
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- International Journal of Computational Fluid Dynamics
- Accession number :
- edsair.doi...........f9599ea7b8918a04691e515b64acd9b8