Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows

DOI10.1016/J.JCP.2010.04.033zbMath1343.76037OpenAlexW1965232104MaRDI QIDQ550876

Chi-Wang Shu, H. C. Yee, Wei Wang, Thierry E. Magin, Bjorn Sjogreen

Publication date: 13 July 2011

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

Full work available at URL: https://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1263&context=nasapub

zbMATH Keywords

chemical reactionsWENO schemeswell-balanced schemesnon-equilibrium flow1D turbulence/shock interactionshigh-order filter methods

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

High order nonlinear filter methods for subsonic turbulence simulation with stochastic forcing ⋮ DeepM\&Mnet for hypersonics: predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators ⋮ Spurious behavior of shock-capturing methods by the fractional step approach: problems containing stiff source terms and discontinuities ⋮ A method for the direct numerical simulation of hypersonic boundary-layer instability with finite-rate chemistry ⋮ Computational challenges for simulations related to the NASA electric arc shock tube (EAST) experiments ⋮ A nonlinear filter for high-order discontinuous Galerkin discretizations with discontinuity resolution within the cell ⋮ Hydrodynamic instabilities in well-balanced finite volume schemes for frictional shallow water equations. The kinematic wave case

Cites Work

• Efficient low dissipative high order schemes for multiscale MHD flows. II: Minimization of \(\nabla\cdot B\) numerical error
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Compact finite difference schemes with spectral-like resolution
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
• Low-dissipative high-order shock-capturing methods using characteristic-based filters
• Multiresolution wavelet-based adaptive numerical dissipation control for high-order methods
• A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
• Entropy splitting and numerical dissipation
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Efficient implementation of weighted ENO schemes
• Compact implicit MacCormack-type schemes with high accuracy
• Development of low dissipative high order filter schemes for multiscale Navier-Stokes/MHD systems
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• Nonlinear filtering and limiting in high order methods for ideal and non-ideal MHD
• High-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source terms
• A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
• Higher Order Compact Implicit Schemes for the Wave Equation
• Dissipative Two-Four Methods for Time-Dependent Problems
• The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
• Summation by Parts, Projections, and Stability. I
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• On the Construction and Comparison of Difference Schemes

This page was built for publication: Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows