High-order adaptive quadrature-free spectral volume method on unstructured grids
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Publication:435462
DOI10.1016/j.compfluid.2009.06.009zbMath1242.76219OpenAlexW2055150472MaRDI QIDQ435462
Robert E. Harris, Zhi Jian Wang
Publication date: 11 July 2012
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2009.06.009
Gas dynamics (general theory) (76N15) Spectral methods applied to problems in fluid mechanics (76M22)
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Uses Software
Cites Work
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- A study of viscous flux formulations for a \(p\)-multigrid spectral volume Navier Stokes solver
- Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
- Dispersion and dissipation properties of the 1D spectral volume method and application to a \(p\)-multigrid algorithm
- A stability analysis for the spectral volume method on tetrahedral grids
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Weighted essentially non-oscillatory schemes on triangular meshes
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
- Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
- Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- Aspects of discontinuous Galerkin methods for hyperbolic conservation laws
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
- An accuracy and stability study of the 2D spectral volume method
- Efficient quadrature-free high-order spectral volume method on unstructured grids: theory and 2D implementation
- Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
- High-order accurate implementation of solid wall boundary conditions in curved geometries
- Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
- Strong Stability-Preserving High-Order Time Discretization Methods
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
