27 citations · 73 across the 9 of their papers we have counts for
10 papers
A Discontinuous Galerkin Method for the Intrinsic Beam Model with Kelvin-Voigt Damping
Shivam Sundriyal, Christian Bleffert, Lukas Dreyer +3
We present an energy-stable discontinuous Galerkin (DG) spatial discretization of the intrinsic beam equations with Kelvin-Voigt damping. We reformulate the governing equations by…
Downscaling Neural Network for Coastal Simulations
Zhi-Song Liu, Markus Büttner, Matthew Scarborough +4
Learning the fine-scale details of a coastal ocean simulation from a coarse representation is a challenging task. For real-world applications, high-resolution simulations are neces…
p-adaptive discontinuous Galerkin method for the shallow water equations on heterogeneous computing architectures
Sara Faghih-Naini, Vadym Aizinger, Sebastian Kuckuk +2
Heterogeneous computing and exploiting integrated CPU-GPU architectures has become a clear current trend since the flattening of Moore's Law. In this work, we propose a numerical a…
A subcell-enriched Galerkin method for advection problems
Andreas Rupp, Moritz Hauck, Vadym Aizinger
In this work, we introduce a generalization of the enriched Galerkin (EG) method. The key feature of our scheme is an adaptive two-mesh approach that, in addition to the standard e…
Towards whole program generation of quadrature-free discontinuous Galerkin methods for the shallow water equations
Sara Faghih-Naini, Sebastian Kuckuk, Vadym Aizinger +3
The shallow water equations (SWE) are a commonly used model to study tsunamis, tides, and coastal ocean circulation. However, there exist various approaches to discretize and solve…
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
Andreas Rupp, Vadym Aizinger, Balthasar Reuter +1
We formulate a coupled surface/subsurface flow model that relies on hydrostatic equations with free surface in the free flow domain and on the Darcy model in the subsurface part. T…