A Semi-Lagrangian Splitting scheme for the free surface Euler system with application to rotational wave flows in general bathymetry

Alexandris-Galanopoulos, Andreas; Αλεξανδρής-Γαλανόπουλος, Αντρέας

dc.contributor.author	Alexandris-Galanopoulos, Andreas	en
dc.contributor.author	Αλεξανδρής-Γαλανόπουλος, Αντρέας	el
dc.date.accessioned	2023-04-19T11:09:19Z
dc.date.available	2023-04-19T11:09:19Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/57548
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.25245
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Semi-Lagrangian scheme	en
dc.subject	Operator splitting	en
dc.subject	Finite Volume method	en
dc.subject	Wave-shear current interaction	en
dc.subject	Nonlinear waves over general bathymetry	en
dc.subject	Ημι-Λαγκρανζιανή μέθοδος	el
dc.subject	Μέθοδος χωρισμού τελεστών	el
dc.subject	Μέθοδος Πεπερασμένων Όγκων	el
dc.subject	Μη γραμμικά κύματα σε γενική βαθυμετρία	el
dc.subject	Αλληλεπίδραση κύματος-ρεύματος	el
dc.title	A Semi-Lagrangian Splitting scheme for the free surface Euler system with application to rotational wave flows in general bathymetry	en
dc.contributor.department	Division of Ship and Marine Hydrodynamics	el
heal.type	bachelorThesis
heal.classification	Computational Fluid Dynamics	en
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2023-02-27
heal.abstract	In the present thesis, a numerical scheme for the Free-Surface Euler system in general bathymetry is presented. The σ-coordinate is generalized in a layer-wise manner and the Generalized-Coordinate Euler system (GCE) is proposed. The system is treated by a standard operator splitting technique with the addition of a layer kinematic scheme. As a result, the GCE is split into the Multilayer Shallow Water Equations (mSWE), followed by the proposed Vertical Remeshing Operator (VRO) and the standard Pressure Correction Operator (PCO). Those three operators constitute the Semi-Lagrangian Splitting scheme (SLS). The mSWE and VRO are solved by two separate Finite Volume schemes. The PCO is solved by a partially implicit approach, followed by the solution of a Poisson-like equation on a staggered grid through a Finite Difference method. The SLS’s performance is tested on the wave propagation over variable bathymetry and wave-current interaction over a flat bottom cases.	en
heal.advisorName	Belibassakis, Kostas	en
heal.committeeMemberName	Kaiktsis, Lambros	en
heal.committeeMemberName	Papadakis, George	en
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Ναυπηγών Μηχανολόγων Μηχανικών. Τομέας Ναυτικής Μηχανολογίας	el
heal.academicPublisherID	ntua
heal.numberOfPages	95 σ.	el
heal.fullTextAvailability	false