Cover Image

High order tracer variance stable transport with low order energy conserving dynamics for the thermal shallow water equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lee, David, Ricardo, Kieran, Tambyah, Tamara
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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)

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

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)

An unstructured second-order subgrid method for the shallow water equations
by: Bitsch, Max Ebstrup, et al.
Published: (2026)

Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: A study using POD-Galerkin and dynamical low rank approximation
by: Koellermeier, Julian, et al.
Published: (2023)

Construction of high-order conservative basis-update and Galerkin dynamical low-rank integrators
by: Einkemmer, Lukas, et al.
Published: (2023)

Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations
by: Tambyah, Tamara A., et al.
Published: (2024)

High-order mass conserving, positivity plus energy-law preserving schemes and their error estimates for Keller-Segel equations
by: Chen, Mingmei, et al.
Published: (2025)

Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
by: Lee, David, et al.
Published: (2024)

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

A conservative, discontinuous Galerkin, tracer transport scheme using compatible finite elements
by: Andrews, Timothy C., et al.
Published: (2026)

On well-posed energy/entropy stable boundary conditions for the rotating shallow water equations
by: Duru, Kenneth, et al.
Published: (2026)

On the order reduction of entropy stable DGSEM for the compressible Euler equations
by: Hindenlang, Florian J., et al.
Published: (2019)

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

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)

Entropy stable reduced order modeling of nonlinear conservation laws using discontinuous Galerkin methods
by: Qu, Ray, et al.
Published: (2025)

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

High order numerical methods for solving high orders functional differential equations
by: A, Dang Quang, et al.
Published: (2024)

High-order and Mass-conservative Regularized Implicit-explicit relaxation Runge-Kutta methods for the logarithmic Schrödinger equation
by: Yan, Jingye, et al.
Published: (2024)

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

Second-order diffusion limit for the phonon transport equation-asymptotics and numerics
by: Nair, Anjali, et al.
Published: (2022)

Error estimate for the first order energy stable scheme of Q-tensor nematic model
by: Huang, Jin, et al.
Published: (2024)

Strongly stable dual-pairing summation by parts finite difference schemes for the vector invariant nonlinear shallow water equations -- I: Numerical scheme and validation on the plane
by: Hew, Justin Kin Jun, et al.
Published: (2023)

High-order accurate entropy stable schemes for compressible Euler equations with van der Waals equation of state on adaptive moving meshes
by: Li, Shangting, et al.
Published: (2024)

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)

Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems
by: Engwer, Christian, et al.
Published: (2023)

Energy preserving reduced-order modelling of thermal shallow water equation
by: Yildiz, Suleyman, et al.
Published: (2020)

Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition
by: Murshed, Md. Masum, et al.
Published: (2019)

A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampere system
by: Cai, Xiaofeng, et al.
Published: (2025)

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

A new class of one-step A-stable and L-stable schemes of high-order accuracy for parabolic type equations
by: Li, Xiaoyi, et al.
Published: (2025)

Efficient High-order Mass-conserving and Energy-balancing Schemes for Schrödinger-Poisson Equations
by: Rajvanshi, Manvendra Pratap, et al.
Published: (2026)

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

A class of positive-preserving,energy stable and high order numerical schemes for the Poission-Nernst-Planck system
by: Cao, Waixiang, et al.
Published: (2025)

Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations
by: Hajduk, Hennes, et al.
Published: (2024)

Tsunami modeling with dynamic seafloors: a high-order solver validated with shallow water benchmarks
by: Melkior, Thomas, et al.
Published: (2025)