Cover Image

An unstructured second-order subgrid method for the shallow water equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bitsch, Max Ebstrup, Heilmann, Irene Torpe, Engsig-Karup, Allan Peter, Sørensen, Ole Rene, Grooss, Jesper
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves
by: Anders Melander, et al.
Published: (2025)

A High-Order Hybrid-Spectral Incompressible Navier-Stokes Model For Nonlinear Water Waves
by: Melander, Anders, et al.
Published: (2024)

FNPF-SEM: A parallel spectral element model in Firedrake for fully nonlinear water wave simulations
by: Visbech, Jens, et al.
Published: (2025)

A holomorphic neural network framework for 3D boundary value problems governed by harmonic potentials
by: Ballini, Enrico, et al.
Published: (2026)

A High-Order Spectral Element Solver for Steady-State Free Surface Flows
by: Minniti, Simone, et al.
Published: (2025)

A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method
by: Feriani, Sophia Julia, et al.
Published: (2024)

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves
by: Melander, Anders, et al.
Published: (2024)

An adaptive integrating factor midpoint method for second order evolution equations
by: Hu, Xianfa, et al.
Published: (2026)

Enhanced second-order Gauss-Seidel projection methods for the Landau-Lifshitz equation
by: Li, Panchi, et al.
Published: (2024)

A second-order-in-time scheme for the von Neumann equation with singular self-interaction and simulation of the onset of instability
by: Athanassoulis, Agissilaos, et al.
Published: (2025)

A high-order regularization of the non-linear shallow water equations with weakly singular shock waves and its approximation by finite volume methods
by: Angana, Rezwana Razzaque, et al.
Published: (2026)

High order tracer variance stable transport with low order energy conserving dynamics for the thermal shallow water equations
by: Lee, David, et al.
Published: (2025)

Fully implicit timestepping methods for the rotating shallow water equations
by: Bauer, Werner, et al.
Published: (2025)

Optimal error estimates of a second-order temporally finite element method for electrohydrodynamic equations
by: Wang, Shengfeng, et al.
Published: (2025)

A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes
by: Tavelli, M., et al.
Published: (2024)

Entropic approximations of the semigeostrophic shallow water equations
by: Benamou, Jean-David, et al.
Published: (2025)

High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations
by: Chan, Jesse, et al.
Published: (2023)

Spectral deferred correction methods for second-order problems
by: Akramov, Ikrom, et al.
Published: (2023)

Numerical Hopf-Lax formulae for Hamilton-Jacobi equations on unstructured geometries
by: Cacace, Simone, et al.
Published: (2025)

Bathymetry reconstruction via optimal control in well-balanced finite element methods for the shallow water equations
by: Ruppenthal, Falko, et al.
Published: (2026)

Well-balanced fifth-order finite volume WENO schemes with constant subtraction technique for shallow water equations
by: Zhao, Lidan, et al.
Published: (2024)

A second-order generalized BDF method for the two-dimensional (modified) Fisher-Kolmogorov-Petrovsky-Piskunov equation
by: Ge, Lei, et al.
Published: (2025)

An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations
by: Ricardo, Kieran, et al.
Published: (2023)

A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations -- unification and two-dimensional extension
by: Öffner, Philipp, et al.
Published: (2026)

Multiple-GPU accelerated high-order gas-kinetic scheme on three-dimensional unstructured meshes
by: Wang, Yuhang, et al.
Published: (2024)

High order global flux schemes for general steady state preservation of shallow water moment equations with non-conservative products
by: Ciallella, Mirco, et al.
Published: (2025)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations
by: Zhang, Jiahui, et al.
Published: (2024)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations
by: Fan, Ruilin, et al.
Published: (2025)

An $α$-robust and second-order accurate scheme for a subdiffusion equation
by: Mustapha, Kassem, et al.
Published: (2024)

Exploring physics-dynamics coupling using moist shallow water equations
by: Hartney, Nell, et al.
Published: (2026)

Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations
by: Ricardo, Kieran, et al.
Published: (2023)

A meshless geometric conservation weighted least square method for solving the shallow water equations
by: Satyaprasad, D., et al.
Published: (2024)

High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
by: Duan, Junming, et al.
Published: (2020)

A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
by: Xu, Liangkun, et al.
Published: (2026)

Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach
by: Cancès, Clément, et al.
Published: (2024)

A quasi-Trefftz space for a second order time-harmonic Maxwell's equation
by: Imbert-Gérard, Lise-Marie
Published: (2025)

Scalability of the second-order reliability method for stochastic differential equations with multiplicative noise
by: Schorlepp, Timo, et al.
Published: (2025)

High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes
by: Zhang, Zhihao, et al.
Published: (2023)

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes I: steady flows
by: Yang, Yaqing, et al.
Published: (2023)

Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations
by: Wimmer, Golo, et al.
Published: (2019)