Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations

T Kärnä, SC Kramer, L Mitchell, DA Ham… - Geoscientific Model …, 2018 - gmd.copernicus.org
Unstructured grid ocean models are advantageous for simulating the coastal ocean and
river–estuary–plume systems. However, unstructured grid models tend to be diffusive and/or …

Ocean modeling on unstructured meshes

S Danilov - Ocean Modelling, 2013 - Elsevier
Unstructured meshes are common in coastal modeling, but still rarely used for modeling the
large-scale ocean circulation. Existing and new projects aim at changing this situation by …

Partitioned and implicit–explicit general linear methods for ordinary differential equations

H Zhang, A Sandu, S Blaise - Journal of Scientific Computing, 2014 - Springer
Implicit–explicit (IMEX) time stepping methods can efficiently solve differential equations with
both stiff and nonstiff components. IMEX Runge–Kutta methods and IMEX linear multistep …

The transport and fate of riverine fine sediment exported to a semi-open system

P Delandmeter, SE Lewis, J Lambrechts… - Estuarine, Coastal and …, 2015 - Elsevier
Understanding the transport and fate of suspended sediment exported by rivers is crucial for
the management of sensitive marine ecosystems. Sediment transport and fate can vary …

[HTML][HTML] A dynamic hp-adaptive discontinuous Galerkin method for shallow-water flows on the sphere with application to a global tsunami simulation

S Blaise, A St-Cyr - Monthly Weather Review, 2012 - journals.ametsoc.org
A Dynamic hp-Adaptive Discontinuous Galerkin Method for Shallow-Water Flows on the Sphere
with Application to a Global Tsunami Simulation in: Monthly Weather Review Volume 140 Issue 3 …

A baroclinic discontinuous Galerkin finite element model for coastal flows

T Kärnä, V Legat, E Deleersnijder - Ocean Modelling, 2013 - Elsevier
Numerical modelling of coastal flows is a challenging topic due to complex topography of
the coastal zone, rapid flow dynamics and large density variations. Such phenomena are …

Discontinuous Galerkin modeling of the Columbia River's coupled estuary-plume dynamics

V Vallaeys, T Kärnä, P Delandmeter, J Lambrechts… - Ocean Modelling, 2018 - Elsevier
Abstract The Columbia River (CR) estuary is characterized by high river discharge and
strong tides that generate high velocity flows and sharp density gradients. Its dynamics …

A discontinuous finite element baroclinic marine model on unstructured prismatic meshes: Part I: space discretization

S Blaise, R Comblen, V Legat, JF Remacle… - Ocean Dynamics, 2010 - Springer
We describe the space discretization of a three-dimensional baroclinic finite element model,
based upon a discontinuous Galerkin method, while the companion paper (Comblen et al …

A multi-scale IMEX second order Runge-Kutta method for 3D hydrodynamic ocean models

AP Ishimwe, E Deleersnijder, V Legat… - Journal of Computational …, 2025 - Elsevier
Understanding complex physical phenomena often involves dealing with partial differential
equations (PDEs) where different phenomena exhibit distinct timescales. Fast terms …

A split-explicit second order Runge–Kutta method for solving 3D hydrodynamic equations

AP Ishimwe, E Deleersnijder, V Legat, J Lambrechts - Ocean Modelling, 2023 - Elsevier
Numerical models of marine hydrodynamics have to deal with processes exhibiting a wide
range of timescales. These processes include fast external gravity waves and slower …