Print Email Facebook Twitter Hamiltonian Discontinuous Galerkin Finite Element Method for Internal Gravity Waves: An exactly energy conserving discretization Title Hamiltonian Discontinuous Galerkin Finite Element Method for Internal Gravity Waves: An exactly energy conserving discretization Author Van Oers, A.M. Contributor Maas, L.R.M. (mentor) Van der Heul, D.R. (mentor) Faculty Electrical Engineering, Mathematics and Computer Science Department Numerical analysis Date 2015-03-26 Abstract A DGFEM discretization has been developed for the Hamiltonian dynamics of stratified incompressible linear fluid flow. The developed discretization can handle the numerical challenges posed by wave attractors: the three dimensionality of the domain, the focusing of wave energy and the incompressibility of the flow. The discretization is unconditionally stable. The conservation of phase space and energy ensure that the numerical error is physically more correct since an unphysical numerical error that changes the total energy is not possible. Subject Hamiltonian dynamicsDGFEMinternal gravity waveswave attractordiscretizationEuler equationsfluid dynamicsenergy conservingstructure preservingphase space To reference this document use: http://resolver.tudelft.nl/uuid:5912a174-6e74-4ea9-a96d-118f2c65c000 Part of collection Student theses Document type master thesis Rights (c) 2015 Van Oers, A.M. Files PDF main.pdf 4.68 MB Close viewer /islandora/object/uuid:5912a174-6e74-4ea9-a96d-118f2c65c000/datastream/OBJ/view