An arbitrary high order and positivity preserving method for the shallow water equations
From MaRDI portal
Publication:2084116
DOI10.1016/j.compfluid.2022.105630OpenAlexW3208475653MaRDI QIDQ2084116
L. Micalizzi, Davide Torlo, Philipp Öffner, Mirco Ciallella
Publication date: 17 October 2022
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.13509
Related Items (4)
On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes ⋮ A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods ⋮ Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation ⋮ Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An explicit residual based approach for shallow water flows
- A well-balanced reconstruction of wet/dry fronts for the shallow water equations
- Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations
- Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
- Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
- Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
- On the C-property and generalized C-property of residual distribution for the shallow water equations
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Finite-volume WENO schemes for three-dimensional conservation laws
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Well-balanced finite volume evolution Galerkin methods for the shallow water equations
- Stabilized residual distribution for shallow water simulations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
- Spectral deferred correction methods for ordinary differential equations
- High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices
- Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods
- Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems
- On positivity preserving finite volume schemes for Euler equations
- Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes
- DeC and ADER: similarities, differences and a unified framework
- Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows
- A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
- Issues with positivity-preserving Patankar-type schemes
- Well-balanced discontinuous Galerkin scheme for \(2 \times 2\) hyperbolic balance law
- High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
- An arbitrary high-order spectral difference method for the induction equation
- An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
- Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws
- High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws
- A new approach for designing moving-water equilibria preserving schemes for the shallow water equations
- On the existence of three-stage third-order modified Patankar-Runge-Kutta schemes
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A finite-volume high-order ENO scheme for two-dimensional hyperbolic systems
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws
- A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term
- High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models
- Integral deferred correction methods constructed with high order Runge–Kutta integrators
- On unconditionally positive implicit time integration for the DG scheme applied to shallow water flows
- On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes
- A Survey of High Order Schemes for the Shallow Water Equations
- A technique of treating negative weights in WENO schemes
- Hybrid DG/FV schemes for magnetohydrodynamics and relativistic hydrodynamics
This page was built for publication: An arbitrary high order and positivity preserving method for the shallow water equations
