Details

Autor(en) / Beteiligte

• Alexandris-Galanopoulos, Andreas
• Papadakis, George
• Belibassakis, Kostas

Titel

A semi-Lagrangian Splitting framework for the simulation of non-hydrostatic free-surface flows

Ist Teil von

• Ocean modelling (Oxford), 2024-02, Vol.187, p.102290, Article 102290

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Incorporation of the free-surface dynamics plays an important role in the numerical modelling of non-hydrostatic flows. In the present work a novel semi-Lagrangian splitting (SLS) scheme for the free-surface Euler system is proposed. Using the operator splitting technique, the three main components emerge: the multilayer Shallow Water Equations (mSWE) (enforcing the free-surface kinematics), the Vertical Remeshing Operator (VRO) (that blends the Eulerian and Lagrangian techniques) and the Pressure Correction Operator (PCO) (that is a classic elliptic equation used in projection-type pressure coupling schemes). The first two are solved by two separate Finite Volume schemes, while the latter is resolved in a Finite Difference manner. In order to assess the SLS’s performance, numerical simulations of periodic waves and solitons propagating over variable bathymetry are performed. The last case concerns the propagation of waves on top of a shear current, showcasing the use of the SLS on rotational flows. The results are compared with experiments and analytic relations and the method is proven to be robust and efficient. •A novel semi-Lagrangian splitting (SLS) scheme for the free-surface Euler system is proposed.•Consistent derivation from the free-surface Euler system through operator splitting.•Simple incorporation of free-surface dynamics by introduction of the layer indicators.•Highly modular algorithm treating sequentially the 3 simple components multilayer SWE, VRO, PCO.•Simulations of periodic waves and solitons over variable bathymetry in the presence of currents.