A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations
type: Item
instance of: scholarly article
title: A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations
zbMATH Open document ID: 1349.76377
author: Stéphane Popinet
published in: Journal of Computational Physics
publication date: 2016-12-05T00:00:00Z
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6660834
zbMATH Keywords: dispersive wave model
zbMATH Keywords: quadtree
zbMATH Keywords: adaptive mesh refinement
zbMATH Keywords: tsunami
zbMATH Keywords: well-balanced
zbMATH Keywords: multigrid elliptic solver
describes a project that uses: Pochoir
describes a project that uses: Basilisk
describes a project that uses: Gerris
describes a project that uses: GEOCLAW
MaRDI profile type: Publication
full work available at URL: j.jcp.2015.09.009
OpenAlex ID: W1856147739
cites work: A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
cites work: A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
cites work: A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis
cites work: A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: boundary conditions and validation
cites work: Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations
cites work: Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
cites work: High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: A Cache‐Aware Algorithm for PDEs on Hierarchical Data Structures Based on Space‐Filling Curves
cites work: A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains
cites work: Q3709786
cites work: Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation
cites work: A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations
cites work: Tsunami modelling with adaptively refined finite volume methods
cites work: High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model
cites work: Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids
cites work: On the Galerkin/finite-element method for the Serre equations
cites work: A numerical scheme for the Green-Naghdi model
cites work: Different approximations of shallow fluid flow over an obstacle
cites work: An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography
cites work: Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
cites work: Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
cites work: A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
DOI: 10.1016/J.JCP.2015.09.009
description: scientific article