An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations (Q6638203)

scientific article; zbMATH DE number 7944242

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English	An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations	scientific article; zbMATH DE number 7944242

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instance of

scholarly article

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title

An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations (English)

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SIAM Journal on Scientific Computing

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publication date

14 November 2024

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zbMATH Keywords

thermal shallow water equations

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discontinuous Galerkin method

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entropy stable

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cubed sphere

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MaRDI profile type

Publication

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cites work

High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows

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A quasi-Hamiltonian discretization of the thermal shallow water equations

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Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases

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A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations

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On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods

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A well-balanced central-upwind scheme for the thermal rotating shallow water equations

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Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme

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Q4889859

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Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows

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Generalized conservative approximations of split convective derivative operators

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Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators

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Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations

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Entropy and energy conservation for thermal atmospheric dynamics using mixed compatible finite elements

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Entropy stable method for the Euler equations revisited: central differencing via entropy splitting and SBP

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A compatible and conservative spectral element method on unstructured grids

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Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: applications to the Euler equations with gravity

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A standard test set for numerical approximations to the shallow water equations in spherical geometry

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6638203