A numerical study of the convergence properties of ENO schemes
From MaRDI portal
Publication:808652
DOI10.1007/BF01065582zbMath0732.65086OpenAlexW2045514689MaRDI QIDQ808652
A. M. Rogerson, Eckart Meiburg
Publication date: 1990
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01065582
stabilityConvergencehyperbolic conservation lawsshock calculationsadaptive stencilsessentially nonoscillatory finite difference schemesnonoscillatory high-order schemes
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Essentially non-oscillatory and weighted essentially non-oscillatory schemes, A sign preserving WENO reconstruction method, Selected Topics in Approximate Solutions of Nonlinear Conservation Laws. High-Resolution Central Schemes, Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem, Application of a shock-fitted spectral collocation method for computing transient high-speed inviscid flows over a blunt nose, A parallelized ENO procedure for direct numerical simulation of compressible turbulence, High order schemes for the scalar transport equation, Extension of the ENO-ET Reconstruction Scheme to Two Space Dimensions on Cartesian Meshes in Conjunction with the ADER Approach, An immersed boundary formulation for simulating high-speed compressible viscous flows with moving solids, ENO-based high-order data-bounded and constrained positivity-preserving interpolation, ENO-ET: a reconstruction scheme based on extended ENO stencil and truncated highest-order term, Power ENO methods: A fifth-order accurate weighted power ENO method., An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization, High-order ENO schemes applied to two- and three-dimensional compressible flow, A high-order ENO conservative Lagrangian type scheme for the compressible Euler equations, Computational methods in Lagrangian and Eulerian hydrocodes, Turbulence spectra characteristics of high-order schemes for direct and large eddy simulation., Central schemes on overlapping cells, Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids, A modified monotonicity-preserving high-order scheme with application to computation of multi-phase flows, Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems, Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells, Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy, ADER scheme with a simplified solver for the generalized Riemann problem and an average ENO reconstruction procedure. Application to blood flow, Conservative hybrid compact-WENO schemes for shock-turbulence interaction, Numerical experiments on the accuracy of ENO and modified ENO schemes, An essentially nonoscillatory high-order Padé-type (ENO-Padé) scheme, Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
Cites Work
- Numerical experiments on the accuracy of ENO and modified ENO schemes
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Uniformly High-Order Accurate Nonoscillatory Schemes. I