Hyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equations
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Publication:2133577
DOI10.1016/j.jcp.2021.110901OpenAlexW3159422932MaRDI QIDQ2133577
Dihan Dai, Yekaterina Epshteyn, Akil C. Narayan
Publication date: 4 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.11268
finite volume methodshallow water equationsstochastic Galerkin methodhyperbolic systems of conservation and balance laws
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx)
Related Items (4)
Entropy stable Galerkin methods with suitable quadrature rules for hyperbolic systems with random inputs ⋮ Cross-mode stabilized stochastic shallow water systems using stochastic finite element methods ⋮ A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws ⋮ Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties
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Cites Work
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- A stochastic Galerkin method for the Euler equations with roe variable transformation
- A well-balanced reconstruction of wet/dry fronts for the shallow water equations
- Adaptive stochastic Galerkin FEM
- Uncertainty propagation using Wiener-Haar expansions
- Non-oscillatory central differencing for hyperbolic conservation laws
- Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems
- Uncertainty quantification for systems of conservation laws
- Efficient stochastic Galerkin methods for random diffusion equations
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids
- A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A hyperbolicity-preserving stochastic Galerkin approximation for uncertain hyperbolic systems of equations
- Weighted essentially non-oscillatory stochastic Galerkin approximation for hyperbolic conservation laws
- Hyperbolic stochastic Galerkin formulation for the \(p\)-system
- Filtered stochastic Galerkin methods for hyperbolic equations
- Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws
- Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system
- A study of hyperbolicity of kinetic stochastic Galerkin system for the isentropic Euler equations with uncertainty
- A stochastic Galerkin method for the Boltzmann equation with uncertainty
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
- On the convergence of generalized polynomial chaos expansions
- Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method
- Introduction to Uncertainty Quantification
- A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases
- Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
- Spectral Methods for Uncertainty Quantification
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Central-Upwind Schemes for the Saint-Venant System
- High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
- Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions
- Structure-Preserving Function Approximation via Convex Optimization
- Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations
- Finite-volume schemes for shallow-water equations
- Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
- High-Order Collocation Methods for Differential Equations with Random Inputs
- Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
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