Grid adaptive algorithms for the solution of the Euler equations on irregular grids

DOI10.1016/0021-9991(87)90027-1zbMath0626.76075OpenAlexW2003047049MaRDI QIDQ581146

Jianyong Qiao, Sumit K. Garg

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90027-1

zbMATH Keywords

accuracy of algorithmsfirst order accurate algorithmsgrid irregularityone-dimensional unsteady flowstandard second order accurate algorithms

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

Developments and trends in three-dimensional mesh generation ⋮ Flux difference splitting for the Euler equations in generalised coordinates using a local parametrisation of the equation of state ⋮ Playing with nonuniform grids ⋮ Truncation error analysis of the finite volume method for a model steady convective equation ⋮ Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the memory of Blair Swartz (1932--2019) ⋮ Three-points interfacial quadrature for geometrical source terms on nonuniform grids ⋮ Remarks on the consistency of upwind source at interface schemes on nonuniform grids ⋮ High accuracy iterative solution of convection diffusion equation with boundary layers on nonuniform grids ⋮ A supraconvergent scheme for nonlinear hyperbolic systems ⋮ A priori error estimates for numerical methods for scalar conservation laws. Part II : flux-splitting monotone schemes on irregular Cartesian grids

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes
• High resolution schemes for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids

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