Multi-scale hydro-morphodynamic modelling using mesh movement methods
DOI10.1007/S13137-021-00191-1zbMath1478.86006OpenAlexW3133714627MaRDI QIDQ2074070
Hilary Weller, Joseph G. Wallwork, Stephan C. Kramer, Mariana C. A. Clare, M. D. Piggott, Colin John Cotter
Publication date: 4 February 2022
Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13137-021-00191-1
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Mathematical modeling or simulation for problems pertaining to geophysics (86-10)
Uses Software
Cites Work
- Unnamed Item
- A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the scheldt estuary
- Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation
- Quadratic mixed finite element approximations of the Monge-Ampère equation in 2D
- Torsional springs for two-dimensional dynamic unstructured fluid meshes
- Discontinuous Galerkin methods for a dispersive wave hydro-sediment-morphodynamic model
- Reconstructing wave profiles from inundation data
- Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem
- A Finite Element Method for Nonlinear Elliptic Problems
- Moving Mesh Generation Using the Parabolic Monge–Ampère Equation
- Firedrake
- An optimal control approach to a posteriori error estimation in finite element methods
- Practical evaluation of five partly discontinuous finite element pairs for the non-conservative shallow water equations
- Anisotropic mesh adaptivity for multi-scale ocean modelling
- Adaptivity with moving grids
- Some exact solutions to the nonlinear shallow-water wave equations
- On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements
- A high‐resolution scheme for the equations governing 2D bed‐load sediment transport
- An unstructured finite‐volume method for coupled models of suspended sediment and bed load transport in shallow‐water flows
- A new computational framework for multi‐scale ocean modelling based on adapting unstructured meshes
This page was built for publication: Multi-scale hydro-morphodynamic modelling using mesh movement methods