3 papers
math.AP2023
Port-Hamiltonian formulations of the incompressible Euler equations with a free surface
Xiaoyu Cheng, J. J. W. Van der Vegt, Yan Xu +1
In this paper, we present port-Hamiltonian formulations of the incompressible Euler equations with a free surface governed by surface tension and gravity forces, modelling e.g. cap…
nlin.PS2020
Wave group evolution and interaction
N. Karjanto
This thesis deals with mathematical and physical aspects of deterministic freak wave generation in a hydrodynamic laboratory. We adopt the nonlinear Schrödinger (NLS) equation as a…
math.NA2018
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations
J. J. W. van der Vegt, Yinhua Xia, Yan Xu
Currently, nearly all positivity preserving discontinuous Galerkin (DG) discretizations of partial differential equations are coupled with explicit time integration methods. Unfort…