Adaptive Delaunay triangulation with multidimensional dissipation scheme for high-speed compressible flow analysis

DOI10.1007/BF03246239zbMath1170.76330OpenAlexW166455660MaRDI QIDQ957679

Pramote Dechaumphai, Sutthisak Phongthanapanich

Publication date: 1 December 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03246239

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Supersonic flows (76J20)

Related Items (2)

Combined adaptive meshing technique and finite volume element method for solving convection-diffusion equation ⋮ Combined adaptive meshing technique and characteristic-based split algorithm for viscous incompressible flow analysis

Cites Work

• High resolution schemes for hyperbolic conservation laws
• Adaptive remeshing for compressible flow computations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Local adaptive mesh refinement for shock hydrodynamics
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Multidimensional dissipation for upwind schemes: Stability and applications to gas dynamics
• Conservative smoothing on an adaptive quadrilateral grid
• An efficient shock-capturing algorithm for compressible multicomponent problems
• Error localization in solution-adaptive grid methods.
• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• A Taylor-Galerkin method for convective transport problems
• Selective refinement: A new strategy for automatic node placement in graded triangular meshes
• Triangular meshes for regions of complicated shape
• Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations
• A stable least-squares finite element method for non-linear hyperbolic problems
• An adaptive finite element method for transient compressible flows
• A contribution to the great Riemann solver debate
• Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
• Tetrahedral finite-volume solutions to the Navier-Stokes equations on complex configurations

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