Journal
COMPUTATION
Volume 9, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/computation9040047
Keywords
depth-integrated; discontinuous galerkin finite element method; non-hydrostatic; wave breaking; wave propagation; wave runup
Categories
Funding
- Sistema Nacional de Investigacion (SNI), of Secretaria Nacional de Ciencia, Tecnologia e Innovacion (SENACYT), Panama
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This paper introduces a new depth-integrated non-hydrostatic finite element model for simulating wave propagation, breaking, and runup. It uses a combination of discontinuous and continuous Galerkin methods to decompose the equations into hydrostatic and non-hydrostatic parts. The model is verified and validated through analytical solutions and laboratory experiments, and includes a new slope limiter for quadrilateral elements.
This paper presents a new depth-integrated non-hydrostatic finite element model for simulating wave propagation, breaking and runup using a combination of discontinuous and continuous Galerkin methods. The formulation decomposes the depth-integrated non-hydrostatic equations into hydrostatic and non-hydrostatic parts. The hydrostatic part is solved with a discontinuous Galerkin finite element method to allow the simulation of discontinuous flows, wave breaking and runup. The non-hydrostatic part led to a Poisson type equation, where the non-hydrostatic pressure is solved using a continuous Galerkin method to allow the modeling of wave propagation and transformation. The model uses linear quadrilateral finite elements for horizontal velocities, water surface elevations and non-hydrostatic pressures approximations. A new slope limiter for quadrilateral elements is developed. The model is verified and validated by a series of analytical solutions and laboratory experiments.
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