Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis

Details Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis

2009-07-28

arxiv.org/abs/0907.4918v1

Physics

Classical Physics

Scientific paper

We consider a class of Boussinesq systems of Bona-Smith type in two space dimensions approximating surface wave flows modelled by the three-dimensional Euler equations. We show that various initial-boundary-value problems for these systems, posed on a bounded plane domain are well posed locally in time. In the case of reflective boundary conditions, the systems are discretized by a modified Galerkin method which is proved to converge in $L^2$ at an optimal rate. Numerical experiments are presented with the aim of simulating two-dimensional surface waves in complex plane domains with a variety of initial and boundary conditions, and comparing numerical solutions of Bona-Smith systems with analogous solutions of the BBM-BBM system.

Affiliated with

Also associated with

No associations

Rating

Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682174