Cover Image

A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Arun, K. R., Krishnamurthy, A.
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 35D99, 35L45, 35L65, 35R06, 65M08, 76M12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
by: Arun, K. R., et al.
Published: (2024)

An Asymptotic Preserving Scheme for the Euler-Poisson-Boltzmann System in the Quasineutral Limit
by: Arun, K. R., et al.
Published: (2024)

An Energy Stable and Well-balanced Scheme for the Ripa System
by: Arun, K. R., et al.
Published: (2024)

An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
by: Arun, K. R., et al.
Published: (2024)

A Structure-Preserving Scheme for the Euler System with Potential Temperature Transport
by: Arun, K. R., et al.
Published: (2025)

Relaxation Schemes for Flows in Networks: Application to Shallow Water and Blood Flow Equations
by: Tenna, Tommaso
Published: (2025)

An Asymptotic-Preserving Scheme for Isentropic Flow in Pipe Networks
by: Redle, Michael, et al.
Published: (2024)

Asymptotic Preserving Linearly Implicit Additive IMEX-RK Finite Volume Schemes for Low Mach Number Isentropic Euler Equations
by: Samantaray, Saurav
Published: (2024)

Stable Spectral-Volume Methods
by: Schadt, Lena
Published: (2025)

Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
by: Artiano, Marco, et al.
Published: (2026)

Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
by: Cui, Shumo, et al.
Published: (2024)

Local linear stability of dual-pairing summation-by-parts methods for nonlinear conservation laws
by: Stewart, Dougal, et al.
Published: (2026)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)

An Energy Stable Well-balanced Scheme for the Barotropic Euler System with Gravity under the Anelastic Scaling
by: Arun, K. R., et al.
Published: (2024)

Capturing vertical information in radially symmetric flow using hyperbolic shallow water moment equations
by: Verbiest, Rik, et al.
Published: (2023)

A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
by: Cheng, Yu-Chen, et al.
Published: (2024)

Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions
by: Giesselmann, Jan, et al.
Published: (2026)

Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
by: Eiter, Thomas, et al.
Published: (2026)

A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
by: Guermond, Jean-Luc, et al.
Published: (2024)

A generalized Riemann problem solver for a hyperbolic model of two-layer thin film flow
by: Barthwal, Rahul, et al.
Published: (2025)

On Enhancing the Dissipative Behavior of Active Flux Advection Schemes
by: Klingenberg, Christian, et al.
Published: (2026)

Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
by: Ding, Lingyun
Published: (2025)

Spline Shallow Water Moment Equations
by: Scholz, Ullika, et al.
Published: (2025)

Monotone-based Numerical Schemes for Two-Dimensional Systems of Nonlocal Conservation Laws
by: Beckers, Anika, et al.
Published: (2026)

Convergence of a Finite Volume Scheme for Compactly Heterogeneous Scalar Conservation Laws
by: Sylla, Abraham
Published: (2024)

Preserving the minimum principle on the entropy for the compressible Euler Equations with general equations of state
by: Clayton, Bennett, et al.
Published: (2025)

A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
by: Harmon, Jake, et al.
Published: (2025)

Second-order invariant-domain preserving approximation to the multi-species Euler equations
by: Clayton, Bennett, et al.
Published: (2025)

Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)

A MUSCL-Hancock scheme for non-local conservation laws
by: Manoj, Nikhil, et al.
Published: (2025)

Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions
by: Abgrall, Rémi, et al.
Published: (2025)

A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
by: Kolbe, Niklas, et al.
Published: (2024)

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows
by: Agnihotri, Jaya, et al.
Published: (2026)

Drift-Free Conservative Dynamics from Quantized Interaction Rules
by: Junhu, Park, et al.
Published: (2026)

Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws
by: Sudha, Sanjibanee, et al.
Published: (2025)

A Unified Framework for Sponge-Layer Relaxation Methods and Damping Operators for Conservation Laws: Application to the Piston Problem of Gas Dynamics
by: Muñoz-Moncayo, Carlos
Published: (2024)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation
by: Dhaouadi, Firas, et al.
Published: (2024)

Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems
by: Giesselmann, Jan, et al.
Published: (2023)

The effective use of BLAS interface for implementation of finite-element ADER-DG and finite-volume ADER-WENO methods
by: Popov, I. S.
Published: (2024)

A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity
by: Gyamfi, Kwame Atta
Published: (2024)