View Item 

Show simple item record

Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.
dc.contributor.authorPrigge, David K.
dc.date.accessioned2016-09-13T13:49:36Z
dc.date.availableNO_RESTRICTION
dc.date.available2016-09-13T13:49:36Z
dc.date.issued2016
dc.date.submitted
dc.identifier.urihttps://hdl.handle.net/2027.42/133175
dc.description.abstractThe linearized water wave equation (WWE) models incompressible, irrotational, inviscid free surface flows in deep water. We will investigate the WWE in both one and two spatial dimensions and derive nonreflecting boundary conditions for both. We will calculate numerical solutions for a fractional PDE arising as a nonreflecting boundary condition to the 1-D and 2-D WWE and discuss convergence and stability of the numerical methods. The nonreflecting boundary conditions will be implemented in a boundary layer around the computational domain.
dc.language.isoen_US
dc.subjectmathematics
dc.subjectnumerical analysis
dc.titleAbsorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.
dc.typeThesisen_US
dc.description.thesisdegreenamePhD
dc.description.thesisdegreedisciplineApplied and Interdisciplinary Mathematics
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studies
dc.contributor.committeememberKarni, Smadar
dc.contributor.committeememberAbgrall, Remi
dc.contributor.committeememberRauch, Jeffrey B
dc.contributor.committeememberKrasny, Robert
dc.contributor.committeememberRoe, Philip L
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/133175/1/dkprigge_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


Files in this item

Name:
dkprigge_1.pdf
Size:
6.702MB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.